Two-dimensional Euler equations in an exterior domain.
type: Item
instance of: scholarly article
title: Two-dimensional Euler equations in an exterior domain.
zbMATH Open document ID: 1044.35043
DOI: 10.1016/S0362-546X(02)00263-8
author: He Cheng
author: Hsiao Ling
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-04-27T00:00:00Z
review text: The paper deals with the existence, uniqueness and regularity of global weak solutions to the two-dimensional Euler equations in an exterior domain \(\Omega\). Using the solutions of Navier-Stokes equations with modified Dirichlet boundary conditions as it was done by P. L. Lions in the case of bounded domains, the existence of global weak solutions when initial velocity is from \(L^2(\Omega)\) and initial vorticity is from \(L^r(\Omega),\) \(1<r\leq \infty,\) is proved. The local interior dependence on initial data, uniqueness and regularity of a weak solution are shown as well.
Mathematics Subject Classification ID: 35Q05
Mathematics Subject Classification ID: 76B03
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 35D10
zbMATH DE Number: 1900934
zbMATH Keywords: Euler equations
zbMATH Keywords: exterior domains
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
reviewed by: G. Jaiani
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1900934