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arXiv · 2107.06479

Global well-posedness for the 2D micropolar Rayleigh-B\'{e}nard convection problem

Sheng Wang
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Abstract

In this article, we study the Cauchy problem to the micropolar Rayleigh-B\'{e}nard convection problem without velocity dissipation in two dimension. We first prove the local well-posedness of a smooth solution, and then establish a blow up criterion in terms of the gradient of scalar temperature field. At last, we obtain the global well-posedness to the system.

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Sheng Wang. 2021-07-14. Global well-posedness for the 2D micropolar Rayleigh-B\'{e}nard convection problem. https://doi.org/10.1007/s10114-021-1040-z

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