Title of article
The Dirichlet boundary problem for a nonlocal Cahn–Hilliard equation
Author/Authors
Peter W. Bates، نويسنده , , 1، نويسنده , , Jianlong Han، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
24
From page
289
To page
312
Abstract
We study the existence, uniqueness and continuous dependence on initial data of the solution for
a nonlocal Cahn–Hilliard equation with Dirichlet boundary condition on a bounded domain. Under
a nondegeneracy assumption the solutions are classical but when this is relaxed, the equation is
satisfied in a weak sense. Also we prove that there exists a global attractor in some metric space.
2005 Elsevier Inc. All rights reserved.
Keywords
phase transition , Long range interaction , Absorbing set , well-posedness , Nonlocal parabolic partialdifferential equation , global attractor
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
934137
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