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Nonlinear Hyperbolic–Elliptic Coupled Systems Arising in Radiation Dynamics

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

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  • C. Lattanzio

    (Universitá degli Studi dell'Aquila, Dipartimento di Matematica Pura ed Applicata Sezione di Matematica per l'Ingegneria)

  • C. Mascia

    (Università di Roma “La Sapienza”, Dipartimento di Matematica “G. Castelnuovo”)

  • D. Serre

    (Ecole Normale Supérieure de Lyon, UMPA, UMR CNRS 5669)

Abstract

In this chapter we deal with a hyperbolic system of conservation laws with a nonlinear coupling with a scalar elliptic equation, modeling radiation dynamics. In particular, we study existence and regularity of radiative shock waves for that system, that is (possibly discontinuous) traveling wave-type solutions, both in the strictly convex and in the general case.

Suggested Citation

  • C. Lattanzio & C. Mascia & D. Serre, 2008. "Nonlinear Hyperbolic–Elliptic Coupled Systems Arising in Radiation Dynamics," Springer Books, in: Sylvie Benzoni-Gavage & Denis Serre (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 661-669, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75712-2_66
    DOI: 10.1007/978-3-540-75712-2_66
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