Existence theorem in the variational problem for compressible inviscid fluids
type: Item
instance of: scholarly article
title: Existence theorem in the variational problem for compressible inviscid fluids
zbMATH Open document ID: 0658.76065
DOI: 10.1007/BF01258602
author: S. H. Smith
published in: Manuscripta Mathematica
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155328
review text: This paper starts from Young's concept of a generalized curve, which may be used if the existence of minima of hemibounded functionals with a non- convex integrand are considered in the context of functions whose curvature is uniformly bounded. The author then proceeds to modify this approach in an attempt to define a weak solution for the equations of an inviscid compressible fluid on the basis of a variational principle.
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 49S05
zbMATH DE Number: 4076853
zbMATH Keywords: concept of a generalized curve
zbMATH Keywords: existence of minima of hemibounded functionals
zbMATH Keywords: non-convex integrand
zbMATH Keywords: inviscid compressible fluid
zbMATH Keywords: variational principle
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
cites work: Q3817850
cites work: Shock waves in arbitrary fluids
cites work: Q5567300
description: scientific article; zbMATH DE number 4076853