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.
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页码：891 / 908
页数：18
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