不可压缩欧拉方程行涡旋对的唯一性和稳定性

IF 2.4 1区数学 Q1 MATHEMATICS

Annals of Pde Pub Date : 2024-12-20 DOI:10.1007/s40818-024-00191-y

Daomin Cao, Guolin Qin, Weicheng Zhan, Changjun Zou

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引用次数: 0

摘要

在本文中，我们建立了二维欧拉方程的集中对称行涡补丁对的唯一性和非线性稳定性。我们还证明了集中旋转多边形的唯一性。这些证明是通过结合局部 Pohozaev 特性、对解的渐近行为的详细描述以及通过移动平面方法获得的一些对称特性来实现的。

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Uniqueness and stability of traveling vortex pairs for the incompressible Euler equation

In this paper, we establish the uniqueness and nonlinear stability of concentrated symmetric traveling vortex patch-pairs for the 2D Euler equation. We also prove the uniqueness of concentrated rotating polygons as well. The proofs are achieved by a combination of the local Pohozaev identity, a detailed description of asymptotic behaviors of the solutions and some symmetry properties obtained by the method of moving planes.

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来源期刊

Annals of Pde Mathematics-Geometry and Topology

CiteScore

3.70

自引率

3.60%

发文量