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Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility

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.

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Abstract

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 ...

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Item Type:Monograph (Working Paper)
Date:2011
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
80A22MSC
35B50MSC
45K05MSC
35K20MSC
35K45MSC
35K55MSC
35K65MSC
47J35MSC
Keywords:Nonlocal phase separation models, viscous phase separation models, Cahn- Hilliard equation, integrodifferential equations, initial value problems, nonlinear evolution equations.
Subjects:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:07 Sep 2011 06:10
Last Modified:13 Mar 2014 17:56
Item ID:22014
Owner Only: item control page

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