Initial-boundary value problem for 2D micropolar equations without angular viscosity

2017/05/15 by Jitao Liu, Shu Wang, Liu, Jitao +1 · 2 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1705.05151

openalex publication_date 2017/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper concerns the initial-boundary value problem to 2D micropolar equations without angular viscosity in a smooth bounded domain. It is shown that such a system admits a unique and global weak solution. The main idea of this paper is to fully exploit the structure of this system and establish high order estimates via introducing an auxiliary field which is at the energy level of one order lower than micro-rotation.

Cited by

• Vanishing Angular Viscosity Limit For Micropolar Fluid Model In ℝ₊²: Boundary Layer And Optimal Convergence Rate
• Unique weak solutions of the d-dimensional micropolar equation with fractional dissipation

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