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Existence of global solutions to the Caginalp phase-field system with dynamic boundary conditions and singular potentials

✍ Scribed by Laurence Cherfils; Stefania Gatti; Alain Miranville


Book ID
108178137
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
157 KB
Volume
343
Category
Article
ISSN
0022-247X

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## Abstract We consider a solution of the Cahn–Hilliard equation or an associated Caginalp problem with dynamic boundary condition in the case of a general potential and prove that under some conditions on the potential it converges, as __t__ β†’ ∞, to a stationary solution. The main tool will be the