On the Stochastic Cahn-Hilliard/Allen-Cahn equation
Résumé
We prove existence and uniqueness of the solution to a Cahn-Hilliard/ Allen-Cahn equation in dimension 1 to 3 subject to a multiplicative stochastic perturbation driven by space time white noise. This models absorption/desorption mechanisms in surface interface or on cluster interface morphology. Some regularity properties of the solution will also be described. This a joint work with D. Antonopoulou and G. Karali.