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.
Nonlinear hyperbolic-elliptic coupled systems arising in radiation dynamics / Lattanzio, C; Mascia, Corrado; Serre, D.. - STAMPA. - (2008), pp. 661-669. ( Hyperbolic Problems: Theory, Numerics and Applications Lyon; France 17-21 Luglio 2006) [10.1007/978-3-540-75712-2_66].
Nonlinear hyperbolic-elliptic coupled systems arising in radiation dynamics
MASCIA, Corrado;
2008
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.File allegati a questo prodotto
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