Regularity of solutions of a phase field model
dc.contributor.author | Amler, Thomas | |
dc.contributor.author | Botkin, Nikolai D. | |
dc.contributor.author | Hoffmann, Karl Heinz | |
dc.contributor.author | Ruf, K. A. | |
dc.date.accessioned | 2015-08-03T10:42:29Z | |
dc.date.available | 2015-08-03T10:42:29Z | |
dc.date.issued | 2013 | |
dc.identifier.issn | 1548159X | |
dc.identifier.doi | 10.4310/DPDE.2013.v10.n4.a3 | |
dc.identifier.uri | http://hdl.handle.net/10754/562554 | |
dc.description.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. | |
dc.publisher | International Press of Boston | |
dc.subject | Partial differential equations | |
dc.subject | Phase field model | |
dc.subject | Regularity of solutions | |
dc.title | Regularity of solutions of a phase field model | |
dc.type | Article | |
dc.contributor.department | Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division | |
dc.contributor.department | Physical Science and Engineering (PSE) Division | |
dc.identifier.journal | Dynamics of Partial Differential Equations | |
dc.contributor.institution | Department of Mathematics, Technische Universität München, 85748 Garching bei München, Germany | |
kaust.person | Amler, Thomas |
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Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
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