We prove existence, uniqueness, regularity and separation properties for a nonlocal Cahn-Hilliard equation with a reaction term. We deal here with the case of logarithmic potential and degenerate mobility as well as a uniformly Lipschitz continuous in u reaction term g(x, t, u).
On a nonlocal Cahn-Hilliard equation with a reaction term / S. Melchionna, E. Rocca. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - 24:2(2014), pp. 461-497.
On a nonlocal Cahn-Hilliard equation with a reaction term
E. Rocca
2014
Abstract
We prove existence, uniqueness, regularity and separation properties for a nonlocal Cahn-Hilliard equation with a reaction term. We deal here with the case of logarithmic potential and degenerate mobility as well as a uniformly Lipschitz continuous in u reaction term g(x, t, u).
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