Averaging principle for the stochastic convective Brinkman-Forchheimer equations

2020/08/15 by Manil T. Mohan, Mohan, Manil T.
Computer Science · Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Probability (math.PR) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2008.06646

openalex publication_date 2020/08/15 · openalex created_date 2020/08/21 · openalex updated_date 2026/07/28

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.

Citations

• Simultaneous approximation in Lebesgue and Sobolev norms via eigenspaces

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