Regularity criteria of 3D generalized magneto-micropolar fluid system in terms of the pressure

TL;DR

This paper establishes regularity criteria for the 3D generalized magneto-micropolar fluid system based on pressure conditions within Lorentz spaces, extending recent mathematical research in fluid dynamics.

Contribution

It introduces new regularity criteria involving pressure in Lorentz spaces for the 3D magneto-micropolar fluid system, building on recent theoretical developments.

Findings

Derived new pressure-based regularity criteria in Lorentz spaces

Extended mathematical understanding of magneto-micropolar fluid regularity

Built upon recent advances in fluid dynamics theory

Abstract

This work focuses on regularity criteria of 3D generalized magneto-micropolar fluid system in terms of the pressure in Lorentz spaces inspired by the recent works in \cite{FS22} and \cite{LN22}.