Regularity of solutions of a phase field model

Handle URI:
http://hdl.handle.net/10754/562554
Title:
Regularity of solutions of a phase field model
Authors:
Amler, Thomas; Botkin, Nikolai D.; Hoffmann, Karl Heinz; Ruf, K. A.
Abstract:
Phase 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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Physical Sciences and Engineering (PSE) Division
Publisher:
International Press
Journal:
Dynamics of Partial Differential Equations
Issue Date:
2013
DOI:
10.4310/DPDE.2013.v10.n4.a3
Type:
Article
ISSN:
1548159X
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAmler, Thomasen
dc.contributor.authorBotkin, Nikolai D.en
dc.contributor.authorHoffmann, Karl Heinzen
dc.contributor.authorRuf, K. A.en
dc.date.accessioned2015-08-03T10:42:29Zen
dc.date.available2015-08-03T10:42:29Zen
dc.date.issued2013en
dc.identifier.issn1548159Xen
dc.identifier.doi10.4310/DPDE.2013.v10.n4.a3en
dc.identifier.urihttp://hdl.handle.net/10754/562554en
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.en
dc.publisherInternational Pressen
dc.subjectPartial differential equationsen
dc.subjectPhase field modelen
dc.subjectRegularity of solutionsen
dc.titleRegularity of solutions of a phase field modelen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalDynamics of Partial Differential Equationsen
dc.contributor.institutionDepartment of Mathematics, Technische Universität München, 85748 Garching bei München, Germanyen
kaust.authorAmler, Thomasen
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