Inviscid limit for the viscous 2D Boussinesq system with temperature-dependent diffusivity
Abstract
We establish global-posedness in time for the viscous Boussinesq equations in two dimensions of space with temperature-dependent diffusivity in the framework of a smooth vortex patch. We also provide the inviscid limit for velocity, temperature, and associated flow toward the system studied very recently in Paicu-Zhu as soon as the viscosity goes to zero, and quantify the rate of convergence.
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