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lang=EN-US link=blue vlink=purple style='tab-interval:.5in' width=750 topmargin=0 leftmargin=0> <div class=WordSection1> <p><o:p>&nbsp;</o:p></p> <h2 align=center style='text-align:center'><span style='mso-fareast-font-family: "Times New Roman";mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="Picture_x0020_6" o:spid="_x0000_i1026" type="#_x0000_t75" style='width:634.5pt;height:63pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="research_files/image002.png" o:title=""/> </v:shape><![endif]--><![if !vml]><img width=846 height=84 src="research_files/image003.jpg" v:shapes="Picture_x0020_6"><![endif]></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></h2> <h2 align=center style='text-align:center'><span style='font-size:22.0pt; mso-fareast-font-family:"Times New Roman"'>Tony <span class=SpellE>Mastroberardino s</span> Research page<o:p></o:p></span></h2> <div> <div> <div> <div> <div> <div> <div> <div> <div> <div> <div> <div class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'> <hr size=1 width="84%" align=left> </span></div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <p style='margin:0in;margin-bottom:.0001pt'><o:p>&nbsp;</o:p></p> <p style='margin:0in;margin-bottom:.0001pt'><span style='font-size:16.0pt'><o:p>&nbsp;</o:p></span></p> <p style='margin:0in;margin-bottom:.0001pt'><span style='font-size:16.0pt'>Research interests:<o:p></o:p></span></p> <p style='margin:0in;margin-bottom:.0001pt'><span style='font-size:16.0pt'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'>My research interests are in applied mathematics. As an applied mathematician, I use a combination of techniques such as mathematical modeling, asymptotic <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>analysis</span></span><span style='mso-fareast-font-family:"Times New Roman"'>, numerical methods, and rigorous analysis to obtain results. The nature of my research is interdisciplinary, and thus, is conducive to collaboration with <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>researchers</span></span><span style='mso-fareast-font-family:"Times New Roman"'> from various engineering and/or science departments.<o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><b style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt;mso-fareast-font-family: "Times New Roman"'>Fluid Mechanics<o:p></o:p></span></b></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><b style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'>My main area of research is in fluid mechanics. In particular, I study the existence and uniqueness of solutions to problems involving the viscous flow of fluids.<span style='mso-spacerun:yes'>  </span><o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'>The analysis includes an investigation of the qualitative behavior of solutions and of physically relevant parameters.<span style='mso-spacerun:yes'>  </span>In certain cases, I also obtain analytical <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>solutions</span></span><span style='mso-fareast-font-family:"Times New Roman"'> using the <span class=SpellE>Homotopy</span> Analysis Method (HAM), a very powerful technique for solving nonlinear differential equations.<span style='mso-spacerun:yes'>  </span>The goal of this research is to <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>gain</span></span><span style='mso-fareast-font-family:"Times New Roman"'> a better understanding of the flow of gases or liquids impinging on a solid surface which arises in various industrial applications.<span style='mso-spacerun:yes'>  </span><o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'>In fluid mechanics, the <span class=SpellE>Navier</span>-Stokes equations are a set of nonlinear partial differential equations that describe viscous fluid flow.<span style='mso-spacerun:yes'>  </span>In the case of viscous fluid <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>flowing</span></span><span style='mso-fareast-font-family:"Times New Roman"'> over a blunt body, stagnation regions arise.<span style='mso-spacerun:yes'>  </span>In certain problems of stagnation flow, the <span class=SpellE>Navier</span>-Stokes equations are reduced to nonlinear ordinary <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>differential</span></span><span style='mso-fareast-font-family:"Times New Roman"'> equations after a similarity transformation.<span style='mso-spacerun:yes'>  </span>Similarity solutions are not only important for describing physically relevant aspects of a problem but also <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>in</span></span><span style='mso-fareast-font-family:"Times New Roman"'> validating the accuracy of numerical solutions.<o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><b style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-size: 14.0pt;mso-fareast-font-family:"Times New Roman"'>Homotopy</span></b></span><b style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt;mso-fareast-font-family: "Times New Roman"'> Analysis Method<o:p></o:p></span></b></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><b style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'>The <span class=SpellE>Homotopy</span> <span class=SpellE>Analyisis</span> Method (HAM) is a <span class=SpellE>nonperturbative</span> analytical method for obtaining series solutions to nonlinear equations and has been successfully <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>applied</span></span><span style='mso-fareast-font-family:"Times New Roman"'> to numerous problems in science and engineering such as fluid mechanics, heat transfer, math biology, nonlinear waves, and finance.<span style='mso-spacerun:yes'>  </span>In comparison with <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>other</span></span><span style='mso-fareast-font-family:"Times New Roman"'> <span class=SpellE>perturbative</span> and <span class=SpellE>nonperturbative</span> analytical methods, HAM offers the ability to adjust and control the convergence of a solution via the so-called <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>control-convergence</span></span><span style='mso-fareast-font-family:"Times New Roman"'> parameter. Because of this, HAM has proved to be a very effective method for obtaining analytical solutions to highly nonlinear differential <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>equations</span></span><span style='mso-fareast-font-family:"Times New Roman"'>.<span style='mso-spacerun:yes'>  </span><o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><b style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><b style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt;mso-fareast-font-family: "Times New Roman"'>Mathematical Modeling of Crystal Growth<o:p></o:p></span></b></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><b style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt;mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></b></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'>I am also interested in the mathematical modeling of crystal growth which is an active area in applied mathematics. In particular, I study the effect of anisotropic<o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>surface</span></span><span style='mso-fareast-font-family:"Times New Roman"'> energy on determining the equilibrium shape of a solid crystal in contact with its vapor or melt. This is a classic materials science problem and the resulting<o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>equilibrium</span></span><span style='mso-fareast-font-family:"Times New Roman"'> crystal shape, known as the <span class=SpellE>Wulff</span> shape, is the one that minimizes the total surface energy under the constraint of constant volume.<span style='mso-spacerun:yes'>  </span>The motivation <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>for</span></span><span style='mso-fareast-font-family:"Times New Roman"'> performing this research is to develop accurate models, and to facilitate the design and fabrication of new or improved engineering materials for use in <o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>electronics</span></span><span style='mso-fareast-font-family:"Times New Roman"'>, optics, and other applications.<o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p style='margin:0in;margin-bottom:.0001pt'><span style='font-size:16.0pt'><o:p>&nbsp;</o:p></span></p> <p style='margin:0in;margin-bottom:.0001pt'><span style='font-size:16.0pt'>Publications:<o:p></o:p></span></p> <p style='margin:0in;margin-bottom:.0001pt'><span style='font-size:16.0pt'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpFirst style='text-indent:-.25in;mso-list:l0 level1 lfo2; mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></i><![endif]><span class=SpellE><span style='mso-fareast-font-family: "Times New Roman"'>Mastroberardino</span></span><span style='mso-fareast-font-family: "Times New Roman"'>, A., <span class=SpellE>Mahabaleswar</span>, U.S., <u>Mixed convection in viscoelastic flow due to a stretching sheet in a porous medium</u>, submitted.<i style='mso-bidi-font-style:normal'><o:p></o:p></i></span></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></i></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l0 level1 lfo2; mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></i><![endif]><span class=SpellE><span style='mso-fareast-font-family: "Times New Roman"'>Mastroberardino</span></span><span style='mso-fareast-font-family: "Times New Roman"'>, A., <u>Series solutions of annular axisymmetric stagnation flow on a moving cylinder</u>, submitted.<i style='mso-bidi-font-style:normal'><o:p></o:p></i></span></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></i></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l0 level1 lfo2; mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span></i><![endif]><span class=SpellE><span style='mso-fareast-font-family: "Times New Roman"'>Mastroberardino</span></span><span style='mso-fareast-font-family: "Times New Roman"'>, A., <u><a href="http://www.sciencedirect.com/science/article/pii/S1007570410005344"><span class=SpellE>Homotopy</span> analysis method applied to <span class=SpellE>electrohydrodynamic</span> flow</a></u>, <i style='mso-bidi-font-style:normal'>Communications in Nonlinear <o:p></o:p></i></span></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Science and Numerical Simulation, </span></i><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>16</span></b><span style='mso-fareast-font-family:"Times New Roman"'> (2011), no. 7, pp. 2730-2736.<i style='mso-bidi-font-style:normal'><o:p></o:p></i></span></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l0 level1 lfo2; mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=SpellE><span style='mso-fareast-font-family:"Times New Roman"'>Mastroberardino</span></span><span style='mso-fareast-font-family:"Times New Roman"'>, A., <span class=SpellE>Paullet</span>, J.E., <a href="http://www.sciencedirect.com/science/article/pii/S0022247X09009858">Existence and a priori bounds for steady stagnation flow toward a stretching cylinder</a>, <o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Journal of Mathematical Analysis and Applications, </span></i><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>365</span></b><span style='mso-fareast-font-family:"Times New Roman"'> (2010), no. 2, pp. 701-710.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l0 level1 lfo2; mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span class=SpellE><span style='mso-fareast-font-family:"Times New Roman"'>Mastroberardino</span></span><span style='mso-fareast-font-family:"Times New Roman"'>, A., Spencer, B.J., <a href="http://imamat.oxfordjournals.org/content/75/2/190">Three-dimensional equilibrium crystal shapes with corner energy regularization</a>, <o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'>IMA Journal of Applied Mathematics, </span></i><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>75 </span></b><span style='mso-fareast-font-family:"Times New Roman"'>(2010), no. 2, pp. 190-205.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpLast style='mso-layout-grid-align:none;text-autospace: none'><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family: "Times New Roman"'><o:p>&nbsp;</o:p></span></i></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='font-size:16.0pt;mso-fareast-font-family:"Times New Roman"'>Presentations:<o:p></o:p></span></p> <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpFirst style='text-indent:-.25in;mso-list:l1 level1 lfo4; mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Frontiers in Applied and Computational Mathematics, New Jersey Institute of Technology, Newark, NJ, May 2012, <o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='line-height:200%;mso-layout-grid-align: none;text-autospace:none'><span class=GramE><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Mixed convection in viscoelastic flow due to a stretching sheet.</span></i></span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Joint Mathematics Meetings, Boston, MA, January 2012, <span class=GramE><i style='mso-bidi-font-style:normal'>Mixed</i></span><i style='mso-bidi-font-style:normal'> convection in viscoelastic flow due to a stretching sheet.</i><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Seminar, Penn State Erie, November 2011, <span class=GramE><i style='mso-bidi-font-style: normal'>Mixed</i></span><i style='mso-bidi-font-style:normal'> convection boundary layer flow of a non-Newtonian fluid.</i><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>AMS Section Meeting, Cornell University, September 2011, <span class=GramE><i style='mso-bidi-font-style: normal'>Annular</i></span><i style='mso-bidi-font-style:normal'> stagnation flow on a moving cylinder.</i><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>New York Conference on Applied Mathematics, University at Buffalo, Buffalo, NY, April 2011, <span class=GramE><i style='mso-bidi-font-style:normal'>Annular</i></span><i style='mso-bidi-font-style:normal'> stagnation flow on a moving cylinder.</i><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>6.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>MAA Seaway Section Meeting, Nazareth College, April 2011, <i style='mso-bidi-font-style:normal'>Harvester of joy: A simple fishery model.</i> <o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>7.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Seminar, Penn State Erie, March 2011, <i style='mso-bidi-font-style:normal'>Harvester of joy: A simple fishery model.</i><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>8.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Joint Mathematics Meetings, New Orleans, CA, January 2011, <span class=GramE><i style='mso-bidi-font-style: normal'>Annular</i></span><i style='mso-bidi-font-style:normal'> stagnation flow on a moving cylinder.</i><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l1 level1 lfo4; mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>9.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='color:black'>30th Annual Southeastern-Atlantic Regional Conference on Differential Equations, Virginia Tech, October 2010,</span><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><span class=SpellE><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Homotopy</span></i></span><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'> analysis method applied to <span class=SpellE>electrohydrodynamic</span> flow.</span></i><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l1 level1 lfo4; mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>10.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Third International Symposium on Biomathematics and Ecology: Education and Research, Illinois State University, September 2010,<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><span class=GramE><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Applications of the <span class=SpellE>homotopy</span> analysis method to population models.</span></i></span><i style='mso-bidi-font-style:normal'><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></i></p> <p class=MsoListParagraphCxSpMiddle style='mso-layout-grid-align:none; text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>11.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>MAA <span class=SpellE>MathFest</span>, Pittsburgh, PA, August 2010, <span class=SpellE><i style='mso-bidi-font-style: normal'>Homotopy</i></span><i style='mso-bidi-font-style:normal'> analysis method: analytical solutions for the 21<sup>st</sup> century.</i><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>12.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>MAA Seaway Section Meeting, SUNY Oswego, April 2010, <span class=SpellE><i style='mso-bidi-font-style:normal'>Homotopy</i></span><i style='mso-bidi-font-style:normal'> analysis method: analytical solutions for the 21<sup>st</sup> century.</i> <o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>13.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Seminar, Penn State Erie, March 2010, <span class=SpellE><i style='mso-bidi-font-style:normal'>Homotopy</i></span><i style='mso-bidi-font-style:normal'> analysis method: analytical solutions for the 21<sup>st</sup> century.</i> <o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>14.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Seminar, Allegheny College, February 2010, <i style='mso-bidi-font-style:normal'>Analysis of stagnation flow towards a stretching cylinder.</i><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>15.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Joint Mathematics Meetings, San Francisco, CA, January 2010, <i style='mso-bidi-font-style:normal'>Analysis of stagnation flow towards a stretching cylinder.</i><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>16.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Seminar, Penn State Erie, December 2009, <i style='mso-bidi-font-style:normal'>Perturbation methods in applied mathematics</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>17.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Seminar, <span class=SpellE>Edinboro</span> University of Pennsylvania, October 2009, <i style='mso-bidi-font-style:normal'>Analysis of stagnation flow towards a stretching cylinder.</i><o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>18.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>MAA Seaway Section Meeting, SUNY Fredonia, October 2009, <i style='mso-bidi-font-style:normal'>The Fermi-Pasta-<span class=SpellE>Ulam</span> problem</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>19.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Seminar, Penn State Erie, September 2009, <i style='mso-bidi-font-style:normal'>Analysis of stagnation flow towards a stretching cylinder</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>20.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Seminar, Penn State Erie, April 2009, <i style='mso-bidi-font-style:normal'>The Fermi-Pasta-<span class=SpellE>Ulam</span> problem</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>21.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>MAA Seaway Section Meeting, Rochester Institute of Technology, April 2009, <i style='mso-bidi-font-style:normal'>Equilibrium crystal shapes in three dimensions with corner energy regularization</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>22.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Joint Mathematics Meetings, Washington, D.C., January 2009, <i style='mso-bidi-font-style:normal'>Equilibrium crystal shapes in three dimensions with corner energy regularization</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>23.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Seminar, Penn State Erie, October 2008, <span class=GramE><i style='mso-bidi-font-style:normal'>The</i></span><i style='mso-bidi-font-style:normal'> calculus of variations: an introduction with applications to materials science</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>24.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Graduate Student Math Modeling Competition, University at Buffalo, March 2008, <span class=GramE><i style='mso-bidi-font-style:normal'>The</i></span><i style='mso-bidi-font-style: normal'> effect of global warming on the coast of Florida</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>25.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Colloquium, Niagara University, February 2008, <span class=GramE><i style='mso-bidi-font-style: normal'>A</i></span><i style='mso-bidi-font-style:normal'> quick tour of the calculus of variations</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>26.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Seminar, Penn State Erie, February 2008, <i style='mso-bidi-font-style:normal'>Equilibrium crystal shapes with corner energy regularization</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>27.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Mathematics Colloquium, Alfred University, January 2008, <span class=GramE><i style='mso-bidi-font-style: normal'>A</i></span><i style='mso-bidi-font-style:normal'> quick tour of the calculus of variations</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>28.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Applied Mathematics Seminar, University at Buffalo, October 2007, <i style='mso-bidi-font-style:normal'>Equilibrium crystal shapes in three dimensions and corner energy regularizations</i>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpLast style='text-indent:-.25in;line-height:200%; mso-list:l1 level1 lfo4;mso-layout-grid-align:none;text-autospace:none'><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>29.<span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Graduate Student Math Modeling Camp, Rensselaer Polytechnic Institute, June 2006, <i style='mso-bidi-font-style:normal'>Curtain coating of ice cream bars</i>.<o:p></o:p></span></p> <p class=MsoNormal style='line-height:200%;mso-layout-grid-align:none; text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='line-height:200%;mso-layout-grid-align:none; text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p style='margin-bottom:0in;margin-bottom:.0001pt'>Antonio <span class=SpellE>Mastroberardino</span></p> <p style='margin:0in;margin-bottom:.0001pt'>Assistant Professor of Mathematics</p> <p style='margin:0in;margin-bottom:.0001pt'>Penn State Erie, The <span class=SpellE>Behrend</span> College<br> School of Science<br> 4205 College Drive <br> Erie, PA 16563-0203</p> <p style='margin:0in;margin-bottom:.0001pt'><a href="http://www.personal.psu.edu/axm62/">http://www.personal.psu.edu/axm62/</a></p> <p class=MsoNormal style='line-height:200%;mso-layout-grid-align:none; text-autospace:none'><span style='mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> </div> </body> </html>