Well-posedness of the surface wave problem for two dimensional micropolar fluids
type: Item
instance of: scholarly article
title: Well-posedness of the surface wave problem for two dimensional micropolar fluids
zbMATH Open document ID: 1500.35224
author: Yanyan Li
published in: Journal of Differential Equations
publication date: 2022-10-21T00:00:00Z
review text: A flow of viscous, incompressible, micropolar fluid in a two-dimensional domain of finite depth, in presence of gravity is considered. The surface wave problem leads to a free boundary problem, technically much more complicated that that for the Navier-Stokes equations. The global well-posedness of that problem is shown in case of horizontally periodic domain. Use of higher order energy functionals, and a Korn type inequality is essential in proofs.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7604817
zbMATH Keywords: flow of micropolar fluid
zbMATH Keywords: surface wave
zbMATH Keywords: two-dimensional moving boundary problem
zbMATH Keywords: global well-posedness
MaRDI profile type: Publication
full work available at URL: j.jde.2022.09.004
OpenAlex ID: W4295788380
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DOI: 10.1016/J.JDE.2022.09.004
description: scientific article; zbMATH DE number 7604817