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http://dx.doi.org/10.4134/JKMS.2013.50.5.945

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

Song, Kyungwoo (Department of Mathematics Research Institute for Basic Sciences Kyung Hee University)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.5, 2013 , pp. 945-957 More about this Journal
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;
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