Journal articles

  1. N. Costanzino, H. K. Jenssen, G. Lyng, M. Williams
    Existence and stability of curved multidimensional detonation fronts
    To appear in Indiana University Mathematics Journal.
    Published online.

  2. A. Bressan, H. K. Jenssen, P. Baiti
    An instability of the Godunov scheme
    To appear in Communications on Pure and Applied Mathematics.
    Published online.

  3. 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.

  4. 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.

  5. 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.

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

  7. 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.

  8. 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.

  9. 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.

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

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

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

  13. 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.


Proceedings, appendices, reports

  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.