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The Global Stability of 2-D Subsonic Circulatory Flows for the Steady Isothermal Gas

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  • Dacheng Cui

Abstract

This paper is a complement of our work in (Cui $\&$ Li, 2011) where we have established the global subsonic circulatory solution for the polytropic gas. In this paper, we are concerned with the global stability of the 2-D subsonic circulatory flow around a perturbed circular body for the isothermal gas. The flow is assumed to be isothermal, isentropic, irrotational and described by a steady Euler equations, which can be reduced into a second order quasilinear elliptic equation in a exterior domain with suitable physical conditions. The unique existence and the state of the flow at infinity are obtained under nature physical assumption.

Suggested Citation

  • Dacheng Cui, 2017. "The Global Stability of 2-D Subsonic Circulatory Flows for the Steady Isothermal Gas," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(6), pages 148-155, December.
    • Handle: RePEc:ibn:jmrjnl:v:9:y:2017:i:6:p:148
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    More about this item

    Keywords

    Euler equations; isothermal gas; subsonic circulatory flow; weighted H{o}lder estimates.;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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