Vanishing dissipation limit of the 2D Boussinesq equations in the upper half plane

报告题目:Vanishing dissipation limit of the 2D Boussinesq equations in the upper half plane

报告人:王裴昕 （西安电子科技大学）

时间: 7月1日（星期二），14:30-16:30

腾讯会议，会议号：235-197-769  

密码：8989

摘要：In this talk, we first investigate the vanishing dissipation limit of the 2D anisotropic Boussinesq equations in R^{2}_{+} with two types of boundary conditions. In order to compensate for the difference on both velocity and temperature at the boundary, we construct some boundary layer correctors. This helps us prove that the solution of the anisotropic Boussinesq equations converges to the solution of the corresponding non-dissipation Boussinesq equations in L^{2} norm.

Then we investigate the vanishing diffusivity limit for the Boussinesq equations in R^{2}_{+} with Dirichlet boundary conditions. By multi-scale analysis method, we show that the time dependence of temperature on the boundary directly leads to different boundary layer phenomena. And we establish the convergence results for the solutions of the Boussinesq equations in L^{\infty}_{t,x}.