Farshbaf-Shaker, Hassan (2011) Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility. Preprintreihe der Fakultät Mathematik 24/201, Working Paper.
We study a diffusion model of phase field type, consisting of a system of two partial
differential equations of second order for the particle densities and the viscosity
variable, coupled by a nonlocal drift term. We prove the existence of variational solutions
in standard Hilbert spaces for the evolution system by a careful development
of uniform estimates and applying finally a comparison principle.
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|Item Type:||Monograph (Working Paper)|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||Nonlocal phase separation models, viscous phase separation models, Cahn- Hilliard equation, integrodifferential equations, initial value problems, nonlinear evolution equations.|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||07 Sep 2011 06:10|
|Last Modified:||13 Mar 2014 17:56|