Moderate deviation principle for the 2D stochastic convective Brinkman–Forchheimer equations. Issue 7 (3rd October 2021)

• Record Type: Journal Article
• Authors: Mohan, Manil T.
• Is Part Of: Stochastics. Volume 93:Issue 7(2021)
• Page Start: 1052
• Page End: 1106
• Publication Date: 2021-10-03
• Subjects: convective Brinkman– Forchheimer equations -- central limit theorem -- large deviation principle -- moderate deviation principle -- Skorokhod's representation theorem; 60H15 -- 60F05 -- 60F10 -- 76A10; Stochastic processes -- Periodicals; Probabilities -- Periodicals; 519.2
• DOI: 10.1080/17442508.2020.1844708
• Languages: English
• ISSNs: 1744-2508

Abstract

ABSTRACT: This work is concerned about some asymptotic behaviour of the two-dimensional stochastic convective Brinkman–Forchheimer (SCBF) equations, which describes the motion of incompressible viscous fluid through a rigid, homogeneous, isotropic, porous medium. We establish a central limit theorem and a moderate deviation principle for the SCBF equations using a variational method (based on weak convergence approach) developed by Budhiraja and Dupuis.