On the Stochastic Cahn-Hilliard/Allen-Cahn equation

Annie Millet (1)

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

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.

Domaines: Probabilités [math.PR]

Annie Millet. On the Stochastic Cahn-Hilliard/Allen-Cahn equation. Stochastic Analysis and Stochastic Partial Differential Equations, Banff International Research Station (BIRS), Apr 2012, Banff, Canada. http://www.birs.ca/events/2012/5-day-workshops/12w5023/videos/watch/201204051631-Millet.mp4. ⟨hal-00691735⟩