Initial-boundary value problem for 2D micropolar equations without angular viscosity
Analysis of PDEs
2017-05-16 v1
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.
Cite
@article{arxiv.1705.05151,
title = {Initial-boundary value problem for 2D micropolar equations without angular viscosity},
author = {Jitao Liu and Shu Wang},
journal= {arXiv preprint arXiv:1705.05151},
year = {2017}
}
Comments
19 pages