On a nonlocal Cahn--Hilliard equation with a reaction term
- Melchionna, Stefano
- Rocca, Elisabetta
2010 Mathematics Subject Classification
- 34B10 35K57 35D35
- nonlocal Cahn-Hilliard, reaction terms, global-in-time existence, uniqurness, regularity, separation properties
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 an uniformly lipschitz in u reaction term g(x, t, u).
- Adv. Math. Sci. Appl., 24 (2014) pp. 461--497.