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

URN to cite this document:
urn:nbn:de:bvb:355-epub-220140
Farshbaf-Shaker, Hassan
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Date of publication of this fulltext: 07 Sep 2011 06:10


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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