The Strong Shock Wave in the Problem on Flow Around Infinite Plane Wedge

D. L. Tkachev (), A. M. Blokhin () and Y. Y. Pashinin
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D. L. Tkachev: Sobolev Institute of Mathematics
A. M. Blokhin: Sobolev Institute of Mathematics
Y. Y. Pashinin: Novosibirsk State University

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 1037-1044 from Springer

Abstract: We consider the flow of an inviscid nonheat-conducting gas at the thermodynamical equilibrium around a plane infinite wedge and study the stationary solution to this problem associated with the so-called strong shock wave, when the flow behind the shock is subsonic. We find a solution to the linearized problem and prove that its trace on the shock wave is a superposition of direct and reflected waves. Moreover, and that is most important, we prove the asymptotic Lyapunov’s stability of the strong shock wave provided that the uniform Lopatinsky condition is fulfilled, the initial data are compactly supported, and some solvability conditions are satisfied.

Keywords: Shock Wave; Small Perturbation; Sound Speed; Riemann Problem; Solvability Condition (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_110

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DOI: 10.1007/978-3-540-75712-2_110

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