Preprints

1. N. Costanzino; H. K. Jenssen
   Symmetric solutions to multi-dimensional conservation laws
   33 pages. Submitted, August 2009.


2. H. K. Jenssen; T. K. Karper
   1D compressible flow with temperature dependent transport coefficients
   26 pages. Submitted, June 2009.

Journal articles

1. E. Endres; H. K. Jenssen; M. Williams
   Singularly perturbed ODEs and profiles for stationary symmetric Euler and Navier-Stokes shocks
   41 pages. Accepted for publication in Discrete and Continuous Dynamical Systems, November 2009.


2. H. K. Jenssen; I. Kogan
   Systems of hyperbolic conservation laws with prescribed eigencurves
   34 pages. To appear in J. Hyperbolic Differential Equations.
   


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


4. 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.
   Published online.


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


6. 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.
   Published online.


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


8. 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.


9. 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.


10. 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.


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


12. 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.


13. 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.


14. 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.


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


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


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


18. 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.

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


2. 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.


3. 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.


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


5. 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.


6. 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.