Tohoku Mathematical Journal

A free boundary value problem of Euler system arising in supersonic flow past a curved cone

Shuxing Chen

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We study a free boundary value problem of the Euler system arising in the inviscid steady supersonic flow past a symmetric curved cone. The existence and stability of piesewise smooth weak entropy solutions was established, provided the cone is a small perturbation of its tangential cone with a vertex angle less than a given value determined by the parameters of the coming flow. Since the change of the entropy of the flow is also considered, the result in this paper gives a more precise description than previous ones on such problems.

Article information

Tohoku Math. J. (2), Volume 54, Number 1 (2002), 105-120.

First available in Project Euclid: 11 April 2005

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Zentralblatt MATH identifier

Primary: 35R35: Free boundary problems
Secondary: 35L40: First-order hyperbolic systems 35L60: Nonlinear first-order hyperbolic equations 35L67: Shocks and singularities [See also 58Kxx, 76L05] 35Q35: PDEs in connection with fluid mechanics 76J20: Supersonic flows


Chen, Shuxing. A free boundary value problem of Euler system arising in supersonic flow past a curved cone. Tohoku Math. J. (2) 54 (2002), no. 1, 105--120. doi:10.2748/tmj/1113247182.

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