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arXiv · 1605.03857

From the viscous Cahn-Hilliard equation to a regularized forward-backward parabolic equation

Pierluigi Colli·Luca Scarpa
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Abstract

A rigorous proof is given for the convergence of the solutions of a viscous Cahn-Hilliard system to the solution of the regularized version of the forward-backward parabolic equation, as the coefficient of the diffusive term goes to 0. Non-homogenous Neumann boundary condition are handled for the chemical potential and the subdifferential of a possible non-smooth double-well functional is considered in the equation. An error estimate for the difference of solutions is also proved in a suitable norm and with a specified rate of convergence.

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Pierluigi Colli, Luca Scarpa. 2016-05-12. From the viscous Cahn-Hilliard equation to a regularized forward-backward parabolic equation. https://doi.org/10.3233/asy-161380

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