Well-posedness of a stochastic phase-field problem with multiplicative noises

被引：0
|
作者：
El Kettani, Perla [1 ]
机构：
[1] Univ Paris Sud, Lab Math Anal Numer & EDP, F-91405 Orsay, France
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 15期
关键词：
multiplicative noises; nonlinear parabolic equations; phase transition problems; stochastic monotonicity method; stochastic partial differential equations; stochastic phase-field problem; EQUATIONS;
D O I：
10.1002/mma.6515
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：8538 / 8567
页数：30
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