Global well-posedness for the 2D Boussinesq equations with zero viscosity
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文摘
We prove the global well-posedness of the two-dimensional Boussinesq equations with zero viscosity and positive diffusivity in bounded domains for rough initial data [u0∈L2ntainer hidden">u0L2, View the MathML sourcentainer hidden">nt="normal">curlu0L and View the MathML sourcentainer hidden">θ0Bq,p22/p with p∈(1,∞)ntainer hidden">p(1,), q∈(2,∞)ntainer hidden">q(2,)]. Our method is based on the maximal regularity for heat equation.

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