The structure of solutions of gas dynamic equations and the formation of the vacuum state

Author:

Fan Hai Tao

Abstract

The structure of the solutions of the isentropic gas dynamics equations in Eulerian coordinates given by [17] is studied. A condition under which the formation of the vacuum state occurs is obtained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference18 articles.

1. Existence in the large for quasilinear hyperbolic conservation laws;DiPerna, Ronald J.;Arch. Rational Mech. Anal.,1973

2. On the interaction of shocks and simple waves of the same family;Greenberg, James M.;Arch. Rational Mech. Anal.,1970

3. Shock waves in the nonisentropic gas flow;Liu, Tai Ping;J. Differential Equations,1976

4. Solutions in the large for the equations of nonisentropic gas dynamics;Liu, Tai Ping;Indiana Univ. Math. J.,1977

5. The deterministic version of the Glimm scheme;Liu, Tai Ping;Comm. Math. Phys.,1977

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