Existence of solutions to a phase-field model with phase-dependent heat absorption

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dc.contributor.authorPlanas, Gabriela
dc.date.accessioned2021-08-03T19:32:03Z
dc.date.available2021-08-03T19:32:03Z
dc.date.issued2007-02-12
dc.description.abstractWe consider a phase-field model for a phase change process with phase-dependent heat absorption. This model describes the behaviour of films exposed to radiative heating, where the film can change reversibly between amorphous and crystalline states. Existence and uniqueness of solutions as well as stability are established. Moreover, a maximum principle is proved for the phase-field equation.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPlanas, G. (2007). Existence of solutions to a phase-field model with phase-dependent heat absorption. <i>Electronic Journal of Differential Equations, 2007</i>(28), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14178
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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectPhase transitions
dc.subjectParabolic system
dc.subjectPhase-field models
dc.titleExistence of solutions to a phase-field model with phase-dependent heat absorption
dc.typeArticle

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