Work

Partial suitable solutions for the micropolar equations and regularity properties

Year: 2025

Type: article

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 ω → . 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 hölderian gain for both variables u → and ω → .

Source: Annales mathématiques Blaise Pascal

DOI: 10.5802/ambp.428

Authors: Diego Chamorro, David Llerena

Institutions: Centre National de la Recherche Scientifique, Université Clermont Auvergne, Laboratoire de Mathématiques Blaise Pascal, Laboratoire de Mathématiques et Modélisation d'Évry

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4319453289

FWCI:

Cites: 31

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Related to: 10