Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method

Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method

equations of gas dynamics with the entropy preserved. Equations are formulated so that the problem is reduced into the 2 by 2 system of conservation laws with a forcing term in momentum equation. The method of compensated compactness is then applied to prove the existence of weak solution in the van...

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Bibliographic Details
Main Author: Kazufumi Ito
Format: Article
Language:English
Published: Texas State University 1996-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Compensated compactness
Conservation laws
Entropy.
Online Access:http://ejde.math.txstate.edu/Volumes/1996/04/abstr.html
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spelling doaj-b6c9676faa82475c9dc19722c43734ab2020-11-24T23:55:03ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911996-06-01199604117Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity MethodKazufumi Itoequations of gas dynamics with the entropy preserved. Equations are formulated so that the problem is reduced into the 2 by 2 system of conservation laws with a forcing term in momentum equation. The method of compensated compactness is then applied to prove the existence of weak solution in the vanishing viscosity method. http://ejde.math.txstate.edu/Volumes/1996/04/abstr.htmlCompensated compactnessConservation lawsEntropy.
collection DOAJ
language English
format Article
sources DOAJ
author Kazufumi Ito
spellingShingle Kazufumi Ito
Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method
Electronic Journal of Differential Equations
Compensated compactness
Conservation laws
Entropy.
author_facet Kazufumi Ito
author_sort Kazufumi Ito
title Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method
title_short Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method
title_full Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method
title_fullStr Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method
title_full_unstemmed Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method
title_sort weak solutions to the one-dimensional non-isentropic gas dynamics by the vanishing viscosity method
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 1996-06-01
description equations of gas dynamics with the entropy preserved. Equations are formulated so that the problem is reduced into the 2 by 2 system of conservation laws with a forcing term in momentum equation. The method of compensated compactness is then applied to prove the existence of weak solution in the vanishing viscosity method.
topic Compensated compactness
Conservation laws
Entropy.
url http://ejde.math.txstate.edu/Volumes/1996/04/abstr.html
work_keys_str_mv AT kazufumiito weaksolutionstotheonedimensionalnonisentropicgasdynamicsbythevanishingviscositymethod
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