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arXiv · 2206.00328

A crypto-regularity result for the micropolar fluids equations

Diego Chamorro·David Llerena
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Abstract

In the analysis of PDEs, regularity of often measured in terms of Sobolev, H{\"o}lder, Besov or Lipschitz spaces, etc. However, sometimes a gain of regularity can also be expressed just in terms of Lebesgue spaces, by passing from a singular setting to a less singular one. In this article we will obtain a gain of integrability for weak solutions of the micropolar fluid equations using as general framework Morrey spaces, which is a very useful language to study regularity in PDEs. An interesting point is that the two variables of the micropolar fluid equations can be studied separately.

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Diego Chamorro, David Llerena. 2022-06-01. A crypto-regularity result for the micropolar fluids equations. https://arxiv.org/abs/2206.00328

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