Averaging principle for the stochastic convective Brinkman-Forchheimer equations
Probability
2020-08-18 v1
Abstract
The convective Brinkman-Forchheimer equations describe the motion of incompressible fluid flows in a saturated porous medium. This work examines the multiscale stochastic convective Brinkman-Forchheimer (SCBF) equations perturbed by multiplicative Gaussian noise in two and three dimensional bounded domains. We establish a strong averaging principle for the stochastic 2D SCBF equations, which contains a fast time scale component governed by a stochastic reaction-diffusion equation with damping driven by multiplicative Gaussian noise. We exploit the Khasminkii's time discretization approach in the proofs.
Keywords
Cite
@article{arxiv.2008.06646,
title = {Averaging principle for the stochastic convective Brinkman-Forchheimer equations},
author = {Manil T. Mohan},
journal= {arXiv preprint arXiv:2008.06646},
year = {2020}
}