26432 articles – 20224 references  [version française]
Detailed view Invited conference talk
Stochastic Analysis and Stochastic Partial Differential Equations, Banff International Research Station (BIRS), Banff : Canada (2012)
On the Stochastic Cahn-Hilliard/Allen-Cahn equation
Annie Millet1

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.
1:  SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)