Approximate Solution of Riemann's Problem for Relativistic MHD Equations.

Abstract

Abstract: This work is devoted to construction of approximate solution of Riemann's problem for equations of relativistic magnetohydrodynamics. Equations, which describe the dynamic of perfectly conducted plasma and electromagnetic field are shown in the form of Lichnerowicz. Riemann's problem are solved in acoustic approximation and analytical expressions for right null-vectors and magnitudes of all physical waves are obtained.Note: Research direction:Mathematical problems and theory of numerical method