STEADY ASYMMETRIC VORTEX PAIRS FOR EULER EQUATIONS

被引：20

作者：

Hassainia, Zineb ^{[1
]}

Hmidi, Taoufik ^{[2
]}

机构：

[1] NYU, POB 129188, Abu Dhabi, U Arab Emirates

[2] Univ Rennes 1, IRMAR, Campus Beaulieu, F-35042 Rennes, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2021年 / 41卷 / 04期

关键词：

Euler equations; vortex dynamics; steady vortex pairs; desingularization; implicit function theorem; CONNECTED V-STATES; 2; DIMENSIONS; BIFURCATION; EXISTENCE; REGULARITY; PATCHES;

D O I：

10.3934/dcds.2020348

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of co-rotating and counter-rotating unequal-sized pairs of simply connected patches for Euler equations. In particular, we prove the existence of curves of steadily co-rotating and counter-rotating asymmetric vortex pairs passing through a point vortex pairs with unequal circulations. We also provide a careful study of the asymptotic behavior for the angular velocity and the translating speed close to the point vortex pairs.

引用

页码：1939 / 1969

页数：31

共 37 条

[11] A GENERAL-THEORY FOR 2-DIMENSIONAL VORTEX INTERACTIONS [J].