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Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2023

A crypto-regularity result for the micropolar fluids equations

Résumé

In the analysis of PDEs, regularity of often measured in terms of Sobolev, Hölder, 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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Dates et versions

hal-03683623 , version 1 (31-05-2022)

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Diego Chamorro, David Llerena. A crypto-regularity result for the micropolar fluids equations. Journal of Mathematical Analysis and Applications, 2023, 520 (2). ⟨hal-03683623⟩
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