RELAXATION APPROXIMATION OF THE KERR MODEL FOR THE THREE-DIMENSIONAL INITIAL-BOUNDARY VALUE PROBLEM

DOI10.1142/S0219891609001939zbMath1180.35337MaRDI QIDQ3647643

Gilles Carbou, Bernard Hanouzet

Publication date: 23 November 2009

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemrelaxationKerr-Debye modelnonlinear Maxwell equationsKerr modelmaximal-dissipative impedance

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Maxwell equations (35Q61)

Related Items

Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation ⋮ Partially dissipative hyperbolic systems in the critical regularity setting: the multi-dimensional case ⋮ A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr–Debye model ⋮ Global existence of small solutions to the Kerr-Debye model for the three-dimensional Cauchy problem ⋮ Large time asymptotics for partially dissipative hyperbolic systems ⋮ Semiliniear behaviour for a quasilinear hyperbolic system: the Kerr Debye model

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