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Stochastic Analysis and Stochastic Partial Differential Equations, Banff International Research Station (BIRS), Banff : Canada (2012)
On the Stochastic Cahn-Hilliard/Allen-Cahn equation
Annie Millet 1
(05/04/2012)

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 :  Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne) (SAMM)
Université Paris I - Panthéon-Sorbonne
Mathématiques/Probabilités