TY - JOUR
T1 - Regularity of solutions of a phase field model
AU - Amler, Thomas
AU - Botkin, Nikolai D.
AU - Hoffmann, Karl Heinz
AU - Ruf, K. A.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/562554
UR - http://www.intlpress.com/site/pub/pages/journals/items/dpde/content/vols/0010/0004/a003/
UR - http://www.scopus.com/inward/record.url?scp=84891531964&partnerID=8YFLogxK
U2 - 10.4310/DPDE.2013.v10.n4.a3
DO - 10.4310/DPDE.2013.v10.n4.a3
M3 - Article
SN - 1548-159X
VL - 10
SP - 353
EP - 365
JO - Dynamics of Partial Differential Equations
JF - Dynamics of Partial Differential Equations
IS - 4
ER -