2003•Sbornik MathematicsRequires access

On viscous limit solutions of the Riemann problem for the equations of isentropic gas dynamics in Eulerian coordinates

Boris Andreïanov

Abstract

For the problem , , , one shows the existence and uniqueness of a solution obtainable as a limit as tends to zero of the bounded self-similar solutions of the regularized problem with additional viscosity term , , in the second equation. The structure of the solutions is described in detail, in particular, when they contain vacuum states.

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Key concepts: Isentropic process, Riemann problem, Eulerian path, Limit (mathematics), Gas dynamics, Dynamics (music), Classical mechanics, Physics