STABLE SELF-SIMILAR BLOW-UP FOR A FAMILY OF NONLOCAL TRANSPORT EQUATIONS

被引：13

作者：

Elgindi, Tarek M. ^{[1
]}

Ghoul, Tej-Eddine ^{[2
]}

Masmoudi, Nader ^{[2
]}

机构：

[1] Univ Calif San Diego, La Jolla, CA 92093 USA

[2] New York Univ Abu Dhabi, Abu Dhabi, U Arab Emirates

来源：

ANALYSIS & PDE | 2021年 / 14卷 / 03期

关键词：

singularity; Euler equation; 1-dimensional models; STABILITY; PROFILE; MODEL;

D O I：

10.2140/apde.2021.14.891

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a family of nonlocal problems that model the effects of transport and vortex stretching in the incompressible Euler equations. Using modulation techniques, we establish stable self-similar blow-up near a family of known self-similar blow-up solutions.

引用

页码：891 / 908

页数：18

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