等熵Chaplygin气体的平面波解

Abstract

Abstract:

In this paper, we consider the plane wave solutions to the Euler equations for isentropic Chaplygin gases. Some interesting properties enjoyed by plane wave solutions are explored. In particular, the reduced system for the plane wave solutions of Chaplygin gases can be solved successively. Based on this, we are able to obtain the global existence of smooth plane wave solutions for isentropic Chaplygin gases. Some results on the blow up phenomena are also discussed.

Key words: Euler equations, Chaplygin gases, Plane wave solution, Global existence, Blow up phenomena

CLC Number:

O175.2

Huang Shoujun, Wang Rui. Plane Wave Solutions to the Euler Equations for Chaplygin Gases[J].Acta mathematica scientia,Series A, 2016, 36(4): 681-689.

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References

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Plane Wave Solutions to the Euler Equations for Chaplygin Gases

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