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.

中文翻译：

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二维随机对流 Brinkman-Forchheimer 方程的中等偏差原理

摘要

这项工作关注的是二维随机对流 Brinkman-Forchheimer (SCBF) 方程的一些渐近行为，该方程描述了不可压缩粘性流体通过刚性、均质、各向同性、多孔介质的运动。我们使用由 Budhiraja 和 Dupuis 开发的变分方法（基于弱收敛方法）为 SCBF 方程建立中心极限定理和适度偏差原理。