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arxiv: 1210.2468 · v2 · pith:WMG3TVLYnew · submitted 2012-10-09 · 🧮 math.AP · math-ph· math.MP

Regularity criteria and uniform estimates for the Boussinesq system with the temperature-dependent viscosity and thermal diffusivity

classification 🧮 math.AP math-phmath.MP
keywords viscosityboussinesqcriteriadiffusivityestimatesregularitysomesystem
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In this paper we establish some regularity criteria for the 3D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity. We also obtain some uniform estimates for the corresponding 2D case when the fluid viscosity coefficient is a positive constant.

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