Removing discretely self-similar singularities for the 3D Navier-Stokes equations

被引：12
|
作者：
Chae, Dongho [1 ]
Wolf, Joerg [2 ]
机构：
[1] Chung Ang Univ, Dept Math, Seoul 156756, South Korea
[2] Humboldt Univ, Dept Math, Berlin, Germany
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 42卷 / 09期
关键词：
Discretely self-similar singularities; Navier-Stokes equations; 76B03; 35Q31; EULER EQUATIONS; PRESSURE;
D O I：
10.1080/03605302.2017.1358275
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the scenario of discretely self-similar blowup for Navier-Stokes equations. We prove that at the possible blow-up time such solutions have only one point singularity. In case of the scaling parameter near 1, we remove the singularity.
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页码：1359 / 1374
页数：16
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