Vanishing viscosity limit for incompressible Navier-Stokes equations with Navier boundary conditions for small slip length

被引：3

作者：

Wang, Ya-Guang ^{[1
,2
]}

Yin, Jierong ^{[3
]}

Zhu, Shiyong ^{[3
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Math Sci, MOE LSC, Shanghai 200240, Peoples R China

[2] Shanghai Jiao Tong Univ, SHL MAC, Shanghai 200240, Peoples R China

[3] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 10期

基金：

中国国家自然科学基金;

关键词：

INVISCID LIMIT; ANALYTIC SOLUTIONS; WELL-POSEDNESS; HALF-SPACE; EXISTENCE; LAYERS; EULER; UNIQUENESS; STABILITY;

D O I：

10.1063/1.5004975

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we will analyze the vanishing viscosity limit of the incompressible Navier-Stokes equations with the Navier slip boundary conditions in a bounded domain of R-2. When the slip length is smaller than or equal to the order of viscosity, by using an energy method and developing Kato's approach given in the work of Kato [Math. Sci. Res. Inst. Publ. 2, 85-98 (1984)], we obtain several conditions to guarantee that the solution of the Navier-Stokes equations with the Navier slip boundary conditions goes to the solution of the associated problem of the Euler equations in the energy space L-2 uniformly in time, as the viscosity goes to zero. Published by AIP Publishing.

引用

页数：18

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