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arXiv:1702.08209 [math.AP]AbstractReferencesReviewsResources

Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects

Dongfen Bian, Jitao Liu

Published 2017-02-27Version 1

This paper is concerned with the initial-boundary value problem to 2D magnetohydrodynamics-Boussinesq system with the temperature-dependent viscosity, thermal diffusivity and electrical conductivity. First, we establish the global weak solutions under the minimal initial assumption. Then by imposing higher regularity assumption on the initial data, we obtain the global strong solution with uniqueness. Moreover, the exponential decay estimate of the solution is obtained.

Comments: 31 pages
Categories: math.AP
Subjects: 35Q30, 76D03
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