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- W3100145434 abstract "In this paper, we study the vortex patch problem in an ideal fluid in a planar bounded domain. By solving a certain minimization problem and studying the limiting behavior of the minimizer, we prove that for any harmonic function q corresponding to a nontrivial irrotational flow, there exists a family of steady vortex patches approaching the set of extreme points of q on the boundary of the domain. Furthermore, we show that each finite collection of strict extreme points of q corresponds to a family of steady multiple vortex patches approaching it." @default.
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- W3100145434 date "2019-06-17" @default.
- W3100145434 modified "2023-09-29" @default.
- W3100145434 title "Steady vortex patches near a nontrivial irrotational flow" @default.
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- W3100145434 doi "https://doi.org/10.1007/s11425-018-9495-1" @default.
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