Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity

TL;DR

This paper establishes the existence and uniqueness of global strong solutions for the 2D magneto-micropolar equations with zero angular viscosity in a bounded domain, under natural boundary conditions and initial data assumptions.

Contribution

It proves the global well-posedness of the 2D magneto-micropolar system with zero angular viscosity without requiring compatibility conditions.

Findings

Existence of unique global strong solutions

Solutions hold under natural boundary conditions

No compatibility condition needed for initial data

Abstract

In this paper, we are concerned with the initial-boundary value problem to the 2D magneto-micropolar system with zero angular viscosity in a smooth bounded domain. We prove that there exists a unique global strong solution of such a system by imposing natural boundary conditions and regularity assumptions on the initial data, without any compatibility condition.