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Well-posedness of a stochastic phase-field problem with multiplicative noises |
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| Authors: | Perla El Kettani |
| Affiliation: | Laboratoire de Mathématique, Analyse Numérique et EDP, University of Paris-Sud, Orsay Cedex, France |
| Abstract: | In this paper, we prove the existence and uniqueness of the solution of a stochastic phase-field problem with multiplicative noises. Phase-field models are typically used to describe melting and solidification processes. We consider here the case of multiplicative noises induced by a Q-Brownian motion. |
| Keywords: | multiplicative noises nonlinear parabolic equations phase transition problems stochastic monotonicity method stochastic partial differential equations stochastic phase-field problem |