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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.Date of publication of this fulltext: 07 Sep 2011 06:10
Monograph
DOI to cite this document: 10.5283/epub.22014
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 principle.
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Details
| Item type | Monograph (Working Paper) | ||||||||||||||||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Volume: | 24/201 | ||||||||||||||||||
| Date | 2011 | ||||||||||||||||||
| Institutions | Mathematics > Prof. Dr. Harald Garcke | ||||||||||||||||||
| Classification |
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| 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 | ||||||||||||||||||
| Status | Unknown | ||||||||||||||||||
| Refereed | No, this version has not been refereed yet (as with preprints) | ||||||||||||||||||
| Created at the University of Regensburg | Yes | ||||||||||||||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-220140 | ||||||||||||||||||
| Item ID | 22014 |
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