Classical solutions for a generalized Euler equation in two dimensions
type: Item
instance of: scholarly article
title: Classical solutions for a generalized Euler equation in two dimensions
zbMATH Open document ID: 0893.35107
author: Marcel Oliver
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-08-20T00:00:00Z
review text: The purpose of this paper is to give a new proof of global existence of smooth solutions for the initial value problem of two-dimensional Euler equations. First, local classical solutions are constructed as the limit of a Galerkin approximating sequence. Second, one proves a global a priori estimate in \(H^m\) which implies that the classical solutions are global. The key ingredient is a new \(L^p\) estimate on the nonlinear term.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35A35
zbMATH DE Number: 1115427
zbMATH Keywords: Euler equation
zbMATH Keywords: existence
zbMATH Keywords: global solution
zbMATH Keywords: Galerkin method
reviewed by: Valeriu Al. Sava
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5647
OpenAlex ID: W1985550436
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DOI: 10.1006/JMAA.1997.5647
description: scientific article; zbMATH DE number 1115427