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Instability of one global transonic shock wave for the steady supersonic Euler flow past a sharp cone. (English) Zbl 1206.35173
The authors study the uniform supersonic flow of compressible polytropic gas described by full steady Euler system. The flow comes from infinity and hits the circular cone along the axis. The angle of the cone is less than the critical value. The aim of the paper is to prove that the global transonic conic shock is unstable with respect to perturbations of the conic body.

##### MSC:
 35L67 Shocks and singularities for hyperbolic equations 76L05 Shock waves and blast waves in fluid mechanics 35L65 Hyperbolic conservation laws 76N15 Gas dynamics (general theory) 35Q31 Euler equations 35B35 Stability in context of PDEs
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