Preprints

  1. M. Benfield; H. K. Jenssen; I. Kogan
    On two theorems of Darboux

  2. M. Benfield; H. K. Jenssen; I. Kogan
    Jacobians with prescribed eignvectors


Journal articles

  1. H. K. Jenssen
    On Exact Solutions of Rarefaction-Rarefaction Interactions in Compressible Isentropic Flow
    Journal of Mathematical Fluid Mechanics, published online December 5, 2016, 24 pages.

  2. H. K. Jenssen; C. Tsikkou
    Radial solutions to the Cauchy problem for the 3-d wave equation as limits of exterior solutions
    Journal of Hyperbolic Differential Equations, 13 (2016), 833--860.

  3. H. K. Jenssen; C. Tsikkou
    Convergence of exterior solutions to radial Cauchy solutions for the 3-d wave equations
    Electron. J. Differential Equations, 2016 (2016), 1--16.

  4. G. Chen; H. K. Jenssen
    No TVD elds for 1-D isentropic flow
    Comm. Partial Differential Equations, 38 (2013), 629--657.

  5. G. Chen; E. Endres; H. K. Jenssen
    Pairwise wave interactions in ideal polytropic gases
    Arch. Ration. Mech. Anal. 204 (2012), 787--836.

  6. H. K. Jenssen; I. A. Kogan
    Extensions for systems of conservation laws
    Comm. PDE, 37 (2012), 1096--1140.

  7. H. K. Jenssen; T. K. Karper
    1D compressible flow with temperature dependent transport coefficients
    SIAM J. Math. Anal. 42, (2010), 904--930.

  8. 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.

  9. H. K. Jenssen; I. A. Kogan
    Systems of hyperbolic conservation laws with prescribed eigencurves
    J. Hyperbolic Differential Equations, 7, (2010), 211--254.

  10. E. Endres; H. K. Jenssen
    Compressible 1-D Euler equations with large data: a case study
    J. Hyperbolic Differential Equations 6 (2009), 389--406.

  11. 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.

  12. K. J. Devault; P. Gremaud; H. K. Jenssen
    Numerical investigation of cavitation in multidimensional compressible flows
    SIAM J. Appl. Math. 67 (2007), 1675--1692

  13. 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.

  14. A. Bressan, H. K. Jenssen, P. Baiti
    An instability of the Godunov scheme
    Communications on Pure and Applied Mathematics, 59 (2006), 1604--1638.

  15. 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.

  16. 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.

  17. 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.

  18. D. Hoff, H. K. Jenssen
    Symmetric nonbarotropic flows with large data and forces
    Archive for Rational Mechanics and Analysis, 173 (2004), 297 - 343.

  19. 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.

  20. 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.

  21. 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.

  22. H. K. Jenssen
    Blowup for systems of conservation laws
    SIAM Journal of Mathematical Analysis, 31 (2000) 894 - 908.

  23. H. K. Jenssen, C. Sinestrari
    Blowup asymptotics for scalar conservation laws with a source
    Communications in Partial Differential Equations, 24 (1999) 2237 - 2261.

  24. P. Baiti, H. K. Jenssen
    On the front-tracking algorithm
    Journal of Mathematical Analysis and Applications, 217 (1998), 395 - 404.

  25. 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

  1. M. Benfield; H. K. Jenssen; I. Kogan
    1-D conservative systems: A geometric approach
    Proceedings of the 14th International Conference on Hyperbolic Problems,
    AIMS Series on Applied Mathematics, 8 (2014), 749--757.

  2. H. K. Jenssen
    Review of Quasilinear hyperbolic systems, compressible flows, and waves, by Vishnu D. Sharma,
    Bull. Amer. Math. Soc. 49 (2012), 591-596.

  3. 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

  4. 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.

  5. 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.

  6. 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.

  7. 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.

  8. G. Lyng, K. Zumbrun, H. K. Jenssen
    Stability of detonation waves
    EQUADIFF 2003, 517--519 World Sci. Publ., Hackensack, New Jersey, 2005.

  9. 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.

  10. 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.

  11. D. Hoff, H. K. Jenssen
    Multidimensional compressible flows with symmetry
    Hyperbolic Problems: Theory, Numerics, Applications, 493 - 498, Springer, Berlin, 2003.

  12. 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.

  13. 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.