Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7221936 | Nonlinear Analysis: Real World Applications | 2018 | 23 Pages |
Abstract
In this paper, we study the Cauchy problem for the MHD-Boussinesq system with the temperature-dependent viscosity. We first establish the local well-posedness for this system in Rd(d=2,3) by fully using the advantage of weighted function generated by heat kernel and Fourier localization technique. As a byproduct, we present a Beale-Kato-Majda type blow-up criterion. Then, under the assumptions on the viscosity coefficient is sufficiently close to some positive constant in Lâ norm, we can also get a global solution for this system in R2.
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Authors
Xiaoping Zhai, Zhi-Min Chen,