MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS

Daomin Cao, Jie Wan

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3 引用 (Scopus)

摘要

In this paper, we study the existence and qualitative properties of multiscale steady vortex patches for Euler equations in a 2D bounded domain. By considering certain maximization problems for the vorticity, we obtain the existence of double vortex patches which are trapped in a neighborhood of two points. Limiting localizations of these two points are determined by the Robin function and the boundary of the domain, rather than critical points of the Kirchhoff-Routh function H2, which is quite different from all the known results. Moreover, the strengths of two components of vorticity are of different order. Multiscale vortex patches concentrating near k points are also constructed for any integer k ≥ 2.

源语言英语
页(从-至)1488-1514
页数27
期刊SIAM Journal on Mathematical Analysis
54
2
DOI
出版状态已出版 - 2022

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