| Abstract: | In this talk, I will introduce some recent results of stationary, concentrated vortices of 2D Boussinesq system. We mainly consider the existence and asymptotic behavior of 2D steady Boussinesq equations for the inviscid, incompressible fluid in a bounded domain. The problem is reduced to a nonlinear free boundary problem. We construct a family of classical solutions with concentrated non-degenerating vorticities and temperatures for the 2D steady Boussinesq system. Some qualitative behaviors are also established. This talk is based on joint works with Daomin Cao, Jie Wan and Weilin Yu. |
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