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Global regularity of solutions of 2D Boussinesq equations with fractional diffusion
Authors:Xiaojing Xu
Institution:School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People’s Republic of China
Abstract:The goal of this work is to study the Boussinesq equations for an incompressible fluid in R2, with diffusion modeled by fractional Laplacian. The existence, the uniqueness and the regularity of solution has been proved.
Keywords:76B03  76D03  76D05
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