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.

引用

页码：1359 / 1374

页数：16

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