A Riemann problem with small viscosity and dispersion

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dc.contributor.authorJoseph, Kayyunnapara Thomas
dc.date.accessioned2021-07-20T17:26:16Z
dc.date.available2021-07-20T17:26:16Z
dc.date.issued2006-09-26
dc.description.abstractIn this paper we prove existence of global solutions to a hyperbolic system in elastodynamics, with small viscosity and dispersion terms and derive estimates uniform in the viscosity-dispersion parameters. By passing to the limit, we prove the existence of solution the Riemann problem for the hyperbolic system with arbitrary Riemann data.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationJoseph, K. T. (2006). A Riemann problem with small viscosity and dispersion. <i>Electronic Journal of Differential Equations, 2006</i>(116), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13989
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectElastodynamics equation
dc.subjectViscosity
dc.subjectDispersion
dc.subjectRiemann problem
dc.titleA Riemann problem with small viscosity and dispersion
dc.typeArticle

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