A variational approach to boundary value problems for a class of nonlinear systems of mixed type
type: Item
instance of: scholarly article
title: A variational approach to boundary value problems for a class of nonlinear systems of mixed type
zbMATH Open document ID: 0830.76076
DOI: 10.4171/ZAA/640
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1996-01-28T00:00:00Z
review text: Summary: Transonic small disturbance theory in two dimensions leads to a nonlinear first-order system of mixed type. For such systems corresponding variational problems are formulated. These minimum problems are studied on closed sets of admissible functions satisfying certain boundedness constraints and entropy conditions. Existence theorems can be proved though the functionals need not be convex and the given sets are not compact. Furthermore, some properties of minimizers are derived.
Mathematics Subject Classification ID: 76M30
Mathematics Subject Classification ID: 76H05
zbMATH DE Number: 800347
zbMATH Keywords: transonic small disturbance theory
zbMATH Keywords: existence
zbMATH Keywords: generalized solutions
zbMATH Keywords: weak lower semi-continuity
zbMATH Keywords: minimum problems
zbMATH Keywords: boundedness constraints
zbMATH Keywords: entropy conditions
author: Hans-Peter Gittel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 800347