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On the existence and stability of 2-D perturbed steady subsonic circulatory flows

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Abstract

In this paper, under the generalized conservation condition of mass flux in a unbounded domain, we are concerned with the global existence and stability of a perturbed subsonic circulatory flow for the twodimensional steady Euler equation, which is assumed to be isentropic and irrotational. Such a problem can be reduced into a second order quasi-linear elliptic equation on the stream function in an exterior domain with a Dirichlet boundary value condition on the circular body and a stability condition at infinity. The key ingredient is establishing delicate weighted Hölder estimates to obtain the infinite behaviors of the flow under physical assumption.

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Authors and Affiliations

  1. School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210046, China

    DaCheng Cui

  2. Department of Mathematics & IMS, Nanjing University, Nanjing, 210093, China

    Jun Li

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  1. DaCheng Cui
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  2. Jun Li
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Correspondence to DaCheng Cui.

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Cui, D., Li, J. On the existence and stability of 2-D perturbed steady subsonic circulatory flows. Sci. China Math. 54, 1421–1436 (2011). https://doi.org/10.1007/s11425-011-4226-5

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  • DOI: https://doi.org/10.1007/s11425-011-4226-5

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