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The exact solution of the Riemann problem in relativistic magnetohydrodynamics. (English) Zbl 1097.76073
Summary: We discuss the procedure for exact solution of Riemann problem in special relativistic magnetohydrodynamics (MHD). We consider both initial states leading to a set of only three waves analogous to the ones in relativistic hydrodynamics, as well as generic initial states leading to the full set of seven MHD waves. Because of its generality, the solution presented here could serve as a test for numerical codes solving MHD equations in relativistic regimes.

MSC:
76W05 Magnetohydrodynamics and electrohydrodynamics
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
Software:
HE-E1GODF
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