On the existence of stationary patches

被引：24

作者：

Gomez-Serrano, Javier ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, 610 Fine Hall,Washington Rd, Princeton, NJ 08544 USA

来源：

ADVANCES IN MATHEMATICS | 2019年 / 343卷

基金：

美国国家科学基金会;

关键词：

Incompressible; Surface quasi-geostrophic; Bifurcation theory; Stationary; Patch; QUASI-GEOSTROPHIC EQUATIONS; GLOBAL WEAK SOLUTIONS; CONNECTED V-STATES; SHARP FRONTS; SQG; REGULARITY; SINGULARITIES; EQUILIBRIUM;

D O I：

10.1016/j.aim.2018.11.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show the existence of the first nontrivial family of analytic stationary patch solutions of the SQG and gSQG equations. This answers an open problem in F. de la Hoz et al. (2016) [13]. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：110 / 140

页数：31

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