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Nonexistence of a globally stable supersonic conic shock wave for the steady supersonic isothermal Euler flow

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Abstract

In this paper, for the full Euler system of the isothermal gas, we show that a globally stable supersonic conic shock wave solution does not exist when a uniform supersonic incoming flow hits an infinitely long and curved sharp conic body.

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Correspondence to Gang Xu.

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Project supported by the National Natural Science Foundation of China (Nos. 11025105, 10931007, 11101190), the Doctorial Program Foundation of Ministry of Education of China (No. 20090091110005) and the Natural Science Fundamental Research Project of Jiangsu Colleges (No. 10KLB110002).

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Li, Y., Xu, G. Nonexistence of a globally stable supersonic conic shock wave for the steady supersonic isothermal Euler flow. Chin. Ann. Math. Ser. B 34, 557–574 (2013). https://doi.org/10.1007/s11401-013-0780-1

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  • DOI: https://doi.org/10.1007/s11401-013-0780-1

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