The Riemann problem for Kerr equations and non-uniqueness of selfsimilar entropy solutions
Langue
en
Communication dans un congrès
Ce document a été publié dans
AIMS series in Applied Mathematics, Hyperbolic Problems: Theory, Numerics, Applications, Hyperbolic Problems: Theory, Numerics, Applications, HYP2012 Padova, 2012. 2014, vol. 8, p. 269-276
American Institute of Mathematical Sciences
Résumé en anglais
We solve the Riemann problem for a nonlinear full wave Maxwell system arising in nonlinear optics. This system is hyperbolic, some eigenvalues have non-constant multiplicity and are neither genuinely nonlinear, nor linearly ...Lire la suite >
We solve the Riemann problem for a nonlinear full wave Maxwell system arising in nonlinear optics. This system is hyperbolic, some eigenvalues have non-constant multiplicity and are neither genuinely nonlinear, nor linearly degenerate. In a particular 2x2 reduced case, we are able to exhibit two distinct selfsimilar entropy solutions. We compute the amounts of entropy dissipation and compare them.< Réduire
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