Submitted
- H. K. Jenssen; Y. Luo
A Front Tracking Approach to the 3-d Linearized,
Radial Euler System
- M. Benfield, H. K. Jenssen, I. Kogan
Jacobians with prescribed eigenvectors
Accepted
- H. K. Jenssen, C. Tsikkou
On similarity flows for the compressible Euler system,
Accepted for publication in Journal of Mathematical Physics.
- M. Benfield, H. K. Jenssen, I. Kogan
A generalization of an integrability theorem of
Darboux
Accepted for publication in The Journal of Geometric Analysis.
Journal articles
- H. K. Jenssen
On Exact Solutions of Rarefaction-Rarefaction
Interactions in Compressible Isentropic Flow
Journal of Mathematical Fluid Mechanics, 19 (2017),
685--708.
- H. K. Jenssen; C. Tsikkou
Radial solutions to the Cauchy
problem for $\square_{1+3}U=0$ as limits of exterior solutions,
Journal of Hyperbolic Differential Equations, 13 (2016), 833--860.
- H. K. Jenssen; C. Tsikkou
Convergence of exterior solutions to
radial Cauchy solutions for $\partial_t^2U-c^2\Delta U=0$,
Electron. J. Differential Equations,
2016 (2016), 1--16.
- G. Chen; H. K. Jenssen
No TVD fields for 1-D isentropic flow,
Comm. Partial Differential Equations, 38 (2013), 629--657.
- H. K. Jenssen; I. A. Kogan
Extensions for systems of conservation laws
Comm. PDE, 37 (2012), 1096--1140.
- G. Chen; E. Endres; H. K. Jenssen
Pairwise wave interactions in ideal polytropic gases
Arch. Ration. Mech. Anal. 204 (2012), 787--836.
- H. K. Jenssen; T. K. Karper
1D compressible flow with temperature dependent transport coefficients
SIAM J. Math. Anal. 42, (2010), 904--930.
- E. Endres; H. K. Jenssen; M. Williams
Singularly perturbed ODEs and profiles for stationary symmetric Euler and Navier-Stokes shocks
Discrete Contin. Dynam. Systems 27, (2010), 133--169.
- H. K. Jenssen; I. A. Kogan
Systems of hyperbolic conservation laws with prescribed eigencurves
J. Hyperbolic Differential Equations, 7, (2010), 211--254.
- E. Endres; H. K. Jenssen
Compressible 1-D Euler equations with large data: a case study
J. Hyperbolic Differential Equations 6 (2009), 389--406.
- E. Endres; H. K. Jenssen, M. Williams
Symmetric Euler and Navier-Stokes shocks in stationary barotropic flow on a bounded domain
J. Differential Equations 245 (2008), 3025--3067.
- K. J. Devault; P. Gremaud; H. K. Jenssen
Numerical investigation of cavitation in multidimensional compressible flows
SIAM J. Appl. Math. 67 (2007), 1675--1692
- N. Costanzino, H. K. Jenssen, G. Lyng, M. Williams
Existence and stability of curved multidimensional detonation fronts
Indiana University Mathematics Journal, 56 (2007), 1405--1462.
- A. Bressan, H. K. Jenssen, P. Baiti
An instability of the Godunov scheme
Communications on Pure and Applied Mathematics, 59 (2006), 1604--1638.
- H. K. Jenssen, G. Lyng, M. Williams
Equivalence of low frequency stability conditions for
multidimensional detonations in three models of combustion
Indiana University Mathematics Journal, 54 (2005), 1- 64.
- A. Bressan, P. Baiti, H. K. Jenssen
Instability of travelling wave profiles for
the Lax-Friedrichs scheme
Discrete and Continuous Dynamical Systems,
13 (2005), 877 - 899.
- H. K. Jenssen, R. Young
Gradient driven and singular flux blowup of smooth
solutions
to hyperbolic conservation laws
Journal of Hyperbolic Differential Equations, 1 (2004), 627 - 641.
- D. Hoff, H. K. Jenssen
Symmetric nonbarotropic flows with large data and forces
Archive for Rational Mechanics and Analysis, 173 (2004), 297 - 343.
- P. Baiti, H. K. Jenssen
Blowup in L-infinity for a class of genuinely nonlinear
hyperbolic
systems of conservation laws
Discrete and Continuous Dynamical Systems,
7, (2001) 837 - 853.
- H. K. Jenssen, C. Sinestrari
On the spreading of characteristics for
nonconvex conservation laws
Proceedings of the Royal Society of Edinburgh, A,
131 (2001) 909 - 925.
- A. Bressan, H. K. Jenssen
On the convergence of Godunov scheme for n x n systems
of hyperbolic conservation laws
Chinese Annals of Mathematics, Series B,
21 (2000) 1 - 16.
- H. K. Jenssen
Blowup for systems of conservation laws
SIAM Journal of Mathematical Analysis,
31 (2000) 894 - 908.
- H. K. Jenssen, C. Sinestrari
Blowup asymptotics for scalar conservation
laws with a source
Communications in Partial Differential Equations,
24 (1999) 2237 - 2261.
- P. Baiti, H. K. Jenssen
On the front-tracking algorithm
Journal of Mathematical Analysis and Applications,
217 (1998), 395 - 404.
- P. Baiti, H. K. Jenssen
Well-posedness for a class of 2 x 2 conservation
laws with L-infinity data
Journal of Differential Equations,
140 (1997), 161 - 185.
Articles Published in Refereed Proceedings; Appendices; Reports; Reviews
- H. K. Jenssen
Review of
Quasilinear hyperbolic systems, compressible flows, and waves, by Vishnu D. Sharma,
Bull. Amer. Math. Soc. 49 (2012), 591-596.
- H. K. Jenssen
On radially symmetric solutions to conservation laws
Nonlinear Conservation Laws and Applications (Minneapolis, MN, 2009), 331-351
IMA Vol. Math. Appl., 153, Springer, New York, 2011
- N. Costanzino; H. K. Jenssen
Symmetric solutions to multi-dimensional conservation laws
in Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena
Contemporary Mathematics, vol. 526, Amer. Math. Soc., Providence, RI, 2010, 91 - 124.
- H. K. Jenssen, I. Kogan
Construction of conservative systems
Proceedings of the 12th
International Confenerence on Hyperbolic Problems,
held June 9-13, 2008 University of Maryland, College Park,
Proceedings of Symposia in Applied Mathematics, 67 Part 2,
(2009), 673 - 682.
- E. Endres, H. K. Jenssen
On global large solutions to the 1-D gas dynamics
Hyperbolic Problems: Theory, Numerics, Applications, 593 - 600, Springer, Berlin, 2008.
- A. Bressan, P. Baiti, H. K. Jenssen
Instability of finite difference schemes for hyperbolic conservation laws
Mathematical aspects of nonlinear dispersive equations, 43 - 53,
Ann. of Math. Stud., 163, Princeton Univ. Press, Princeton, NJ, 2007.
- G. Lyng, K. Zumbrun, H. K. Jenssen
Stability of detonation waves
EQUADIFF 2003, 517--519
World Sci. Publ., Hackensack, New Jersey, 2005.
- H. K. Jenssen, G. Lyng, M. Williams
Low frequency stability of planar multi-D detonations
Oberwolfach Reports, Volume 1, Issue 2, 2004, report No. 18/2004, 927 - 928.
- H. K. Jenssen, G. Lyng
The Lopatinski determinant for multi-dimensional
Euler equations
15 pages (pp. 507 - 524), appendix to K. Zumbrun,
Stability of large-amplitude
shock waves of compressible Navier-Stokes equations, 311 - 533,
Handbook of Fluid Mechanics, Vol. III,
North Holland, Amsterdam, 2004.
- D. Hoff, H. K. Jenssen
Multidimensional compressible flows with symmetry
Hyperbolic Problems: Theory, Numerics, Applications, 493 - 498, Springer, Berlin, 2003.
- A. Bressan, H. K. Jenssen
Convergence of Godunov scheme for straight
line systems
Hyperbolic Problems: Theory, Numerics, Applications, Vol. I, 187 - 196,
International Series of Numerical Mathematics 140,
Birkhauser, Basel, 2001.
- H. K. Jenssen, C. Sinestrari
Blowup for hyperbolic equations
Hyperbolic Problems: Theory, Numerics, Applications, Vol. II, 515 - 524,
International Series of Numerical Mathematics 130, Birkhauser, Basel, 1999.