SEMI-HYPERBOLIC PATCHES ARISING FROM A TRANSONIC SHOCK IN SIMPLE WAVES INTERACTION

- Journal title : Journal of the Korean Mathematical Society
- Volume 50, Issue 5, 2013, pp.945-957
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2013.50.5.945

Title & Authors

SEMI-HYPERBOLIC PATCHES ARISING FROM A TRANSONIC SHOCK IN SIMPLE WAVES INTERACTION

Song, Kyungwoo;

Song, Kyungwoo;

Abstract

In this paper we consider a Riemann problem, in particular, the case of the presence of the semi-hyperbolic patches arising from a transonic shock in simple waves interaction. Under this circumstance, we construct global solutions of the two-dimensional Riemann problem of the pressure gradient system. We approach the problem as a Goursat boundary value problem and a mixed initial-boundary value problem, where one of the boundaries is the transonic shock.

Keywords

2-D Riemann problem;characteristic decomposition;simple waves;transonic shocks;

Language

English

Cited by

1.

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