Local existence of the shock front solution to the axi-symmetrical piston problem in compressible flow
type: Item
instance of: scholarly article
title: Local existence of the shock front solution to the axi-symmetrical piston problem in compressible flow
zbMATH Open document ID: 1065.35192
author: Zejun Wang
publication date: 2005-01-25T00:00:00Z
review text: Axi-symmetrical solutions of the two-dimensional Euler equations of a polytropic gas are considered in an expanding domain \(r\geq b(t)\) under the assumption that \(b(0)=0\), \(b' (0)=b_0 >0,\) \(b^{(k)}(0)=0\), \(2\leq k\leq K\), where \(K\) is a given large integer. The initial data are \(u=0\), \(\rho =\) \(\rho_a =\) \(\text{const}>0\). Local time existence of a shock-front solution is proved.
reviewed by: V. V. Shelukhin
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 35L60
zbMATH DE Number: 2130967
zbMATH Keywords: Euler system
zbMATH Keywords: two-dimensional Euler equations
zbMATH Keywords: polytropic gas
MaRDI profile type: Publication
full work available at URL: s10114-004-0379-2
OpenAlex ID: W2049795718
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DOI: 10.1007/S10114-004-0379-2
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published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 2130967