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Shuangjie Peng--Uniqueness of planar vortex patch in incompressible steady flow (1)
发布人:管理员LIU  发布时间:2017-07-16   浏览次数:485


Abstract: In this talk, we investigate  a steady planar flow of an ideal fluid in a bounded domain  and focus on the   vortex patch problem with prescribed vorticity strength. There are two methods to deal with the existence for this problem: the vorticity method and the stream function method. A long standing open problem is whether these two entirely different methods result in the same solution. We will give a positive answer to this problem by studying the local uniqueness of the solutions. Another result obtained in this paper is that if the domain is convex, then the vortex patch problem  has a unique solution.


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