Nonlinear Hyperbolic–Elliptic Coupled Systems Arising in Radiation Dynamics

C. Lattanzio (), C. Mascia () and D. Serre ()
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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

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 661-669 from Springer

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.

Keywords: Shock Wave; Elliptic System; Reduction Procedure; Entropy Condition; Nonlinear Coupling (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_66

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DOI: 10.1007/978-3-540-75712-2_66

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