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