Global well-posedness for the 2D micropolar Rayleigh-B\'{e}nard convection problem
Analysis of PDEs
2021-07-15 v1
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.
Keywords
Cite
@article{arxiv.2107.06479,
title = {Global well-posedness for the 2D micropolar Rayleigh-B\'{e}nard convection problem},
author = {Sheng Wang},
journal= {arXiv preprint arXiv:2107.06479},
year = {2021}
}
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