A well-posedness theorem for non-homogeneous inviscid fluids via a perturbation theorem
type: Item
instance of: scholarly article
title: A well-posedness theorem for non-homogeneous inviscid fluids via a perturbation theorem
zbMATH Open document ID: 0682.35012
DOI: 10.1016/0022-0396(89)90066-1
published in: Journal of Differential Equations
publication date: 1989-01-01T00:00:00Z
review text: The author considers the nonlinear hyperbolic system of Euler equations for incompressible, inviscid, non-homogeneous flows. He proves the continuous dependence of solutions, that lie in appropriate Sobolev spaces, on the initial data and external forces. The proof uses Kato's perturbation theory for nonlinear hyperbolic evolution equations. The case of bounded domains is included in the results.
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 76B99
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 4117013
zbMATH Keywords: Euler equations
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: Kato's perturbation theory
author: H. Beirão da Veiga
reviewed by: Gerald Warnecke
MaRDI profile type: Publication
full work available at URL: 0022-0396(89)90066-1
OpenAlex ID: W1989509654
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description: scientific article; zbMATH DE number 4117013