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Abstract
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On a bounded 2D domain with smooth boundary, we prove the global existence of a unique smooth solution to the inviscid heat conductive Boussinesq Equations with nonlinear diffusion, along with homogeneous Dirichlet boundary for temperature and slip boundary for velocity. Such a solution is also shown as vanishing viscosity limit for the corresponding viscous and heat conductive Boussinesq equation with the same boundary condition for temperature, and Navier boundary condition for the velocity. This talk is based on the joint work with Huapeng Li, Hongjun Yuan, and Weizhe Zhang.
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