Non-classical phase transitions at a sonic point

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dc.contributor.authorSable-Tougeron, Monique
dc.date.accessioned2020-09-15T18:55:50Z
dc.date.available2020-09-15T18:55:50Z
dc.date.issued2003-03-07
dc.description.abstractThe relevant mathematical features of phase transition for a general hyperbolic nonlinear system near a sonic discontinuity are clarified. A well-posed Riemann's problem is obtained, including non-classical undercompressive shocks, defined by a geometrical kinetic relation. A counterpart is the geometrical rejection of some compressive shocks. The result is consistent with the structure profiles of the elasticity model of Shearer-Yang and the combustion model of Majda.
dc.description.departmentMathematics
dc.formatText
dc.format.extent28 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSable-Tougeron, M. (2003). Non-classical phase transitions at a sonic point. <i>Electronic Journal of Differential Equations, 2003</i>(22), pp. 1-28.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12613
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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectHyperbolic
dc.subjectPhase transition
dc.subjectChapman-Jouguet regime
dc.subjectKinetic relation
dc.titleNon-classical phase transitions at a sonic pointen_US
dc.typeArticle

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