On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary

The system of quasilinear equations for symmetric flows of a viscous heat-conducting gas with a free external boundary is considered. For global in time weak solutions having nonstrictly positive density, the linear in time two-sided bounds for the gas volume growth are established.

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Bibliographic Details
Main Author: Alexander Zlotnik
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/16071
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author Alexander Zlotnik
author_facet Alexander Zlotnik
author_sort Alexander Zlotnik
collection DOAJ
description The system of quasilinear equations for symmetric flows of a viscous heat-conducting gas with a free external boundary is considered. For global in time weak solutions having nonstrictly positive density, the linear in time two-sided bounds for the gas volume growth are established.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2006-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-ac746f7b5bf14efab7156d856c21b6fe2025-02-03T01:10:45ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/1607116071On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundaryAlexander Zlotnik0Department of Mathematical Modelling, Moscow Power Engineering Institute, Krasnokazarmennaya 14, Moscow 111250, RussiaThe system of quasilinear equations for symmetric flows of a viscous heat-conducting gas with a free external boundary is considered. For global in time weak solutions having nonstrictly positive density, the linear in time two-sided bounds for the gas volume growth are established.http://dx.doi.org/10.1155/AAA/2006/16071
spellingShingle Alexander Zlotnik
On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary
Abstract and Applied Analysis
title On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary
title_full On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary
title_fullStr On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary
title_full_unstemmed On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary
title_short On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary
title_sort on the rate of the volume growth for symmetric viscous heat conducting gas flows with a free boundary
url http://dx.doi.org/10.1155/AAA/2006/16071
work_keys_str_mv AT alexanderzlotnik ontherateofthevolumegrowthforsymmetricviscousheatconductinggasflowswithafreeboundary