随机影响下二维一阶Cahn-Hilliard-Oldroyd模型的大偏差

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2025-04-08 DOI:10.1007/s40306-025-00567-7

Salvador Awo Kougang, Calvin Tadmon, Gabriel Deugoué

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引用次数: 0

摘要

本文建立了随机影响下1阶二维Cahn-Hilliard-Oldroyd随机模型的大偏差原理。分析中使用的模型由一阶的随机Oldroyd模型和阶参数的Cahn-Hilliard方程组成。使用的方法是弱收敛方法，其主要思想是连续和有界泛函的拉普拉斯变换的变分表示公式。

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Large Deviation for a 2D Cahn-Hilliard-Oldroyd Model of Order One Under Random Influences

This paper establishes a large deviation principle for a stochastic 2D Cahn-Hilliard-Oldroyd model of order one under random influences. The model used in the analysis consists of the stochastic Oldroyd model of order one, coupled with a Cahn-Hilliard equation for the order parameter. The approach used is the weak convergence method with the main idea laid on a variational representation formula for the Laplace transform of continuous and bounded functionals.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.