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Relaxation approximation of some nonlinear Maxwell initial-boundary value problem

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Publication:879642
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DOI10.4310/CMS.2006.v4.n2.a4zbMath1119.35033MaRDI QIDQ879642

Gilles Carbou, Bernard Hanouzet

Publication date: 14 May 2007

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)


zbMATH Keywords

one space dimensionKerr-Debye modelKerr model


Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Initial-boundary value problems for first-order hyperbolic systems (35L50)


Related Items

Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation ⋮ Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I ⋮ Global existence of small solutions to the Kerr-Debye model for the three-dimensional Cauchy problem ⋮ On relaxation hyperbolic systems violating the Shizuta-Kawashima condition ⋮ Semiliniear behaviour for a quasilinear hyperbolic system: the Kerr Debye model ⋮ Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II ⋮ RELAXATION APPROXIMATION OF THE KERR MODEL FOR THE THREE-DIMENSIONAL INITIAL-BOUNDARY VALUE PROBLEM



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