Methods of numerical analysis for investigation of reversible shock structures in media with complex dispersion

I. B. Bakholdin

Keldysh Institute of Applied Mathematics RAS

Abstract: Basic concepts of the theory of reversible shocks are presented. Solutions of partial differential differential equations that describe arbitrary shock split are analyzed. Methods to solve Cauchy problem by means of solving of boundary problem are investigated. New approach to derivation of averaged equations and new classification of reversible shocks are given.

Keywords: shock structure, dispersion, dissipation, numerical analysis.

UDC: 519.6+517.958

Received: 21.03.2014

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