In a recent paper (Anton et al. 2010) we have derived sets of right and left eigenvectors of the Jacobians of the relativistic MHD equations, which are regular and span a complete basis in any physical state including degenerate ones. We present a summary of the main steps followed in the above derivation and the numerical experiments carried out with the linearized (Roe-type) Riemann solver we have developed, and some note on the (non-)convex character of the relativistic MHD equations.
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Ecole Normale Super, Dept Math & Applicat, F-75230 Paris 05, FranceEcole Normale Super, Dept Math & Applicat, F-75230 Paris 05, France
Pelanti, Marica
Bouchut, Francois
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Ecole Normale Super, Dept Math & Applicat, F-75230 Paris 05, France
Ecole Normale Super, CNRS, F-75230 Paris 05, FranceEcole Normale Super, Dept Math & Applicat, F-75230 Paris 05, France
Bouchut, Francois
Mangeney, Anne
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Inst Phys Globe Paris, Equipe Sismol, F-75252 Paris 05, FranceEcole Normale Super, Dept Math & Applicat, F-75230 Paris 05, France