A remark on the non-uniqueness in \(L^{\infty}\) of the solutions to the two-dimensional Stokes problem in exterior domains
type: Item
instance of: scholarly article
title: A remark on the non-uniqueness in \(L^{\infty}\) of the solutions to the two-dimensional Stokes problem in exterior domains
zbMATH Open document ID: 1485.35326
author: P. Maremonti
published in: Journal of Evolution Equations
publication date: 2022-01-03T00:00:00Z
review text: The author deals with the two-dimensional Stokes initial boundary value problem in exterior domains, and the case of initial data \(u_{0}\in L^{\infty}\left( \Omega\right) ,\) divergence free in weak sense. \ The author also investigates the property \(\left\Vert u\left( t\right) \right\Vert _{\infty}\leq c\left\Vert u_{0}\right\Vert _{\infty}\) for all \(t>0\) and \(c\) independent of \(u\), and non-uniqueness of the solutions.
reviewed by: Fatma Hıra
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7451396
zbMATH Keywords: Stokes problem
zbMATH Keywords: well-posedness
zbMATH Keywords: maximum modulus theorem
MaRDI profile type: Publication
full work available at URL: s00028-020-00662-2
OpenAlex ID: W3114431230
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DOI: 10.1007/S00028-020-00662-2
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description: scientific article; zbMATH DE number 7451396