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
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 Sciences 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