Global existence of solutions to system of polytropic gas dynamics with friction
type: Item
instance of: scholarly article
title: Global existence of solutions to system of polytropic gas dynamics with friction
zbMATH Open document ID: 1382.35079
published in: Nonlinear Analysis. Real World Applications
publication date: 2017-11-17T00:00:00Z
review text: The author considers the global existence problem for weak solutions to the Cauchy problem for a 1D system of polytropic gas dynamics in a divergent nozzle with friction. Initial data are \(L^\infty\)-bounded. The nozzle is axisymmetrical and described by the cross-section area \(a(x)\) at a point \(x\). The author applies the maximum principle to obtain a uniformly bounded \(L^\infty\) estimation and the compensated compactness to prove the convergence of approximations and thus the global existence of entropy solutions.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 35F55
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35B50
zbMATH DE Number: 6808263
zbMATH Keywords: nozzle flow
zbMATH Keywords: global weak solution
zbMATH Keywords: flux approximation
zbMATH Keywords: compensated compactness
author: Yun-Guang Lu
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2017.07.010
OpenAlex ID: W2744705477
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DOI: 10.1016/J.NONRWA.2017.07.010
description: scientific article; zbMATH DE number 6808263