FORWARD SELF-SIMILAR SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN THE HALF SPACE

被引：21

作者：

Korobkov, Mikhail ^{[1
,2
]}

Tsai, Tai-Peng ^{[3
,4
]}

机构：

[1] Sobolev Inst Math, 4 Acad Koptyug Ave, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, 2 Pirogova Str, Novosibirsk 630090, Russia

[3] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[4] Natl Taiwan Univ, Ctr Adv Study Theoret Sci, Taipei, Taiwan

来源：

ANALYSIS & PDE | 2016年 / 9卷 / 08期

基金：

加拿大自然科学与工程研究理事会; 俄罗斯基础研究基金会;

关键词：

Forward self-similar solutions; Navier-Stokes equations; half space; EXISTENCE; PLANE; TIME;

D O I：

10.2140/apde.2016.9.1811

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the incompressible Navier-Stokes equations in the 3D half space, we show the existence of forward self-similar solutions for arbitrarily large self-similar initial data.

引用

页码：1811 / 1827

页数：17

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