Partial suitable solutions for the micropolar equations and regularity properties

Diego Chamorro; David Llerena

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arXiv · 2302.02675

Partial suitable solutions for the micropolar equations and regularity properties

Diego Chamorro·David Llerena

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Abstract

The incompressible Micropolar system is given by two coupled equations: the first equation gives the evolution of the velocity field u while the second equation gives the evolution of the microrotation field $\omega$. In this article we will consider regularity problems for weak solutions of this system. For this we will introduce the new notion of partial suitable solutions, which imposes a specific behavior for the velocity field u only, and under some classical hypotheses over the pressure, we will obtain a h{\"o}lderian gain for both variables u and $\omega$.

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Diego Chamorro, David Llerena. 2023-02-06. Partial suitable solutions for the micropolar equations and regularity properties. https://arxiv.org/abs/2302.02675

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