Time periodic solutions for the 2D Euler equation near Taylor-Couette flow

被引：0
|
作者：
Castro, Angel [1 ]
Lear, Daniel [2 ]
机构：
[1] Inst Ciencias Matemat, Madrid, Spain
[2] Univ Cantabria, Santander, Spain
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 63卷 / 09期
关键词：
76E07; 76B03; 35Q31; 35Q35; VORTEX PATCHES; STABILITY; STATIONARY; FLUID; PAIRS;
D O I：
10.1007/s00526-024-02827-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the incompressible 2D Euler equation in an annular domain with non-penetration boundary condition. In this setting, we prove the existence of a family of non-trivially smooth time-periodic solutions at an arbitrarily small distance from the stationary Taylor-Couette flow in H-s, with s < 3/2, at the vorticity level.
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页数：89
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