Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition
1 Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China
2 Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, P.R. China
3 Department of Mathematics, Hokkaido University Sapporo 060-0810, Japan
Boundary Value Problems 2012, 2012:20 doi:10.1186/1687-2770-2012-20Published: 15 February 2012
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.