The Riemann problem for Kerr equations and non-uniqueness of selfsimilar entropy solutions
Language
en
Communication dans un congrès
This item was published in
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
English Abstract
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 ...Read more >
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.Read less <
Origin
Hal imported