具有分数噪声的随机Cahn-Hilliard/Allen-Cahn方程的大偏差原理

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2023-09-13 DOI:10.1080/07362994.2023.2254371

Amali Paul Rose Gregory, Murugan Suvinthra, Krishnan Balachandran

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引用次数: 0

摘要

在这项工作中，我们考虑具有分数噪声的随机Cahn-Hilliard/Allen-Cahn方程，该方程在时间上是分数的，在空间上是白的。得到了解的存在性、唯一性和Hölder正则性。同时，利用弱收敛方法，证明了具有小扰动的上述方程的解律满足Hölder范数中的大偏差原理。

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Large deviation principle for the stochastic Cahn-Hilliard/Allen-Cahn equation with fractional noise

In this work, we consider the stochastic Cahn-Hilliard/Allen-Cahn equation with fractional noise, which is fractional in time and white in space. We obtain the existence, uniqueness, and Hölder regularity of the solution. Also, using a weak convergence approach, we prove that the law of solution associated with the above equation with a small perturbation satisfies the large deviation principle in the Hölder norm.

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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.