Optimale lokale Existenzsätze für die Gleichungen von Navier-Stokes
type: Item
instance of: scholarly article
title: Optimale lokale Existenzsätze für die Gleichungen von Navier-Stokes
zbMATH Open document ID: 0552.35059
DOI: 10.1007/BF01458474
author: Hermann Sohr
published in: Mathematische Annalen
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/163884
review text: The paper is devoted to the local existence and the uniqueness of the solution of the Dirichlet-Cauchy problem for the non-stationary Navier- Stokes equations. Under some assumptions on the Cauchy data \(u_ 0\) and on the external forces f it is proved in an \(L^ q\) \((0,T;L^ q)\) theory, that a unique solution exists on an interval \((0,T^*)\), where \(T^*=T^*(u_ 0,f)\) and this solution has some special properties.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 3879421
zbMATH Keywords: local existence
zbMATH Keywords: uniqueness
zbMATH Keywords: Dirichlet-Cauchy problem
zbMATH Keywords: Navier-Stokes equations
reviewed by: Titus Petrila
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3879421