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

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Farshbaf-Shaker, Hassan
Date of publication of this fulltext: 07 Sep 2011 06:10


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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