Propagation de l'analyticité locale pour les solutions de l'équation d'Euler. (Propagation of local analyticity for the solutions of the Euler equation)
type: Item
instance of: scholarly article
title: Propagation de l'analyticité locale pour les solutions de l'équation d'Euler. (Propagation of local analyticity for the solutions of the Euler equation)
zbMATH Open document ID: 0606.76027
DOI: 10.1007/BF00280434
author: Guy Métivier
author: S. Alinhac
published in: Archive for Rational Mechanics and Analysis
publication date: 1986-01-01T00:00:00Z
review text: Suppose the initial data and the body forces are analytic for a stream tube of an incompressibl Euler flow. The authors prove that the solution to the Euler equations is analytic on this stream tube. A special family of semi-norms is introduced in order to study the local regularity.
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35S99
zbMATH DE Number: 3980726
zbMATH Keywords: initial data
zbMATH Keywords: body forces
zbMATH Keywords: stream tube
zbMATH Keywords: incompressibl Euler flow
zbMATH Keywords: Euler equations
zbMATH Keywords: semi-norms
zbMATH Keywords: local regularity
reviewed by: Gerald Warnecke
MaRDI profile type: Publication
cites work: Propagation de l'analyticité des solutions de systèmes hyperboliques non-linéaires
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cites work: Groups of diffeomorphisms and the motion of an incompressible fluid
cites work: On classical solutions of the two-dimensional non-stationary Euler equation
description: scientific article; zbMATH DE number 3980726