Uniqueness of solutions of the Navier-Stokes system in \(L^d\): the case of Lipschitz domains
type: Item
instance of: scholarly article
title: Uniqueness of solutions of the Navier-Stokes system in \(L^d\): the case of Lipschitz domains
zbMATH Open document ID: 1050.35072
author: Sylvie Monniaux
published in: Annales Mathématiques Blaise Pascal
publication date: 2004-05-27T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/10479
review text: Supposing the existence of the solutions to the incompressible Navier-Stokes system in\break C([0,T];\(L^d(\Omega)^d\)) where \(\Omega\) is a bounded Lipshitz domain of \(\mathbb{R}^d\) and the boundary conditions are of Dirichlet-Cauchy type, the author proves also the uniqueness of these solutions. The demonstration is backed by the Shen theorem. Some appropriate estimates are given for the linear non autonomous Stokes problem.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D03
zbMATH DE Number: 2068412
zbMATH Keywords: Navier-Stokes system
zbMATH Keywords: \(L^d\) uniqueness
zbMATH Keywords: Lipschitz domain
zbMATH Keywords: non autonomous Stokes problem
MaRDI profile type: Publication
OpenAlex ID: W2327570102
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DOI: 10.5802/AMBP.169
description: scientific article; zbMATH DE number 2068412