Existence and uniqueness for one-phase Stefan problems of non-classical heat equations with temperature boundary condition at a fixed face

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dc.contributor.authorBriozzo, Adriana C.
dc.contributor.authorTarzia, Domingo A.
dc.date.accessioned2021-07-15T16:00:02Z
dc.date.available2021-07-15T16:00:02Z
dc.date.issued2006-02-09
dc.description.abstractWe prove the existence and uniqueness, local in time, of a solution for a one-phase Stefan problem of a non-classical heat equation for a semi-infinite material with temperature boundary condition at the fixed face. We use the Friedman-Rubinstein integral representation method and the Banach contraction theorem in order to solve an equivalent system of two Volterra integral equations.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBriozzo, A. C., & Tarzia, D. A. (2006). Existence and uniqueness for one-phase Stefan problems of non-classical heat equations with temperature boundary condition at a fixed face. <i>Electronic Journal of Differential Equations, 2006</i>(21), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13894
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
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.subjectStefan problem
dc.subjectNon-classical heat equation
dc.subjectFree boundary problem
dc.subjectSimilarity solution
dc.subjectNonlinear heat sources
dc.subjectVolterra integral equations
dc.titleExistence and uniqueness for one-phase Stefan problems of non-classical heat equations with temperature boundary condition at a fixed face
dc.typeArticle

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