Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2012.06.12
  • Published : 2013.09.01
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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

References

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  2. Semi-hyperbolic patches of solutions to the two-dimensional nonlinear wave system for Chaplygin gases vol.257, pp.5, 2014, https://doi.org/10.1016/j.jde.2014.05.020