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.

引用

页码：8538 / 8567

页数：30

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