Show simple item record

dc.contributor.authorAmler, Thomas
dc.contributor.authorBotkin, Nikolai D.
dc.contributor.authorHoffmann, Karl Heinz
dc.contributor.authorRuf, K. A.
dc.date.accessioned2015-08-03T10:42:29Z
dc.date.available2015-08-03T10:42:29Z
dc.date.issued2013
dc.identifier.issn1548159X
dc.identifier.doi10.4310/DPDE.2013.v10.n4.a3
dc.identifier.urihttp://hdl.handle.net/10754/562554
dc.description.abstractPhase field models are widely-used for modelling phase transition processes such as solidification, freezing or CO2 sequestration. In this paper, a phase field model proposed by G. Caginalp is considered. The existence and uniqueness of solutions are proved in the case of nonsmooth initial data. Continuity of solutions with respect to time is established. In particular, it is shown that the governing initial boundary value problem can be considered as a dynamical system. © 2013 International Press.
dc.publisherInternational Press
dc.subjectPartial differential equations
dc.subjectPhase field model
dc.subjectRegularity of solutions
dc.titleRegularity of solutions of a phase field model
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.identifier.journalDynamics of Partial Differential Equations
dc.contributor.institutionDepartment of Mathematics, Technische Universität München, 85748 Garching bei München, Germany
kaust.personAmler, Thomas


This item appears in the following Collection(s)

Show simple item record