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Large Deviation for a 2D Cahn-Hilliard-Oldroyd Model of Order One Under Random Influences
Salvador Awo Kougang
,
Calvin Tadmon
,
Gabriel Deugoué
Abstract
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.