Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition

Boundary value problems

Jishan Fan¹  Gen Nakamura²  Yong Zhou³  Liangbing Jin³ 

[1] Department of Applied Mathematics, Nanjing Forestry University, Nanjing, P.R. China;Department of Mathematics, Hokkaido University, Sapporo, Japan;Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China

关键词: Boussinesq system;    inviscid limit;    slip boundary condition;   

DOI  :  10.1186/1687-2770-2012-20

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article studies the partial vanishing viscosity limit of the 2D Boussinesq system in a bounded domain with a slip boundary condition. The result is proved globally in time by a logarithmic Sobolev inequality. 2010 MSC: 35Q30; 76D03; 76D05; 76D07.

【 授权许可】

CC BY