Global well‐posedness of 2D nonlinear Boussinesq equations with mixed partial viscosity and thermal diffusivity |
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Authors: | Chao Chen Jitao Liu |
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Affiliation: | 1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, Fujian, China;2. College of Applied Sciences, Beijing University of Technology, Beijing, China |
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Abstract: | In this paper, we discuss with the global well‐posedness of 2D anisotropic nonlinear Boussinesq equations with any two positive viscosities and one positive thermal diffusivity. More precisely, for three kinds of viscous combinations, we obtain the global well‐posedness without any assumption on the solution. For other three difficult cases, under the minimal regularity assumption, we also derive the unique global solution. To the authors' knowledge, our result is new even for the simplified model, that is, F(θ) = θe2. Copyright © 2017 John Wiley & Sons, Ltd. |
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Keywords: | nonlinear Boussinesq equations global well‐posedness partial viscosity partial thermal diffusivity |
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