On \(L^ 1\)-vorticity for 2-D incompressible flow
type: Item
instance of: scholarly article
title: On \(L^ 1\)-vorticity for 2-D incompressible flow
zbMATH Open document ID: 0807.35115
DOI: 10.1007/BF02599322
author: Italo Vecchi
author: Sijue Wu
published in: Manuscripta Mathematica
publication date: 1994-01-31T00:00:00Z
full work available at URL: https://eudml.org/doc/155817
review text: The authors investigate the existence of a classical weak solution for the 2-D incompressible inviscid Euler equation, with given compactly supported initial vorticity. The main objective is to prove that a weak limit of an approximate solution sequence is a classical weak solution, which satisfies certain integral and function-space conditions. In this note, the authors, after formulating the problems in the form of theorems, are successful in proving the existence of these solutions, with the given vorticity constraints. They also show that the weak convergence is preserved by the flow. The authors do not offer any practical fluid flow applications as a direct result of their proof.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 492740
zbMATH Keywords: incompressible Euler flow
zbMATH Keywords: compactly supported vorticity
reviewed by: Shlomo Carmi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 492740