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

dc.contributor.authorIto, Kazufumi
dc.date.accessioned2018-08-24T20:22:11Z
dc.date.available2018-08-24T20:22:11Z
dc.date.issued1996-06-18
dc.description.abstractIn this paper we consider the non-isentropic equations of gas dynamics with the entropy preserved. Equations are formulated so that the problem is reduced into the 2 × 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationIto, K. (1996). Weak solutions to the one-dimensional non-isentropic gas dynamics by the vanishing viscosity method. <i>Electronic Journal of Differential Equations, 1996</i>(04), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7611
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1996, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectCompensated compactness
dc.subjectConservation laws
dc.subjectEntropy
dc.titleWeak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Methoden_US
dc.typeArticle

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