Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations
Probability
2022-02-24 v1
Abstract
In this work, we demonstrate the Wong-Zakai approximation results for two and three dimensional stochastic convective Brinkman-Forchheimer (SCBF) equations forced by Hilbert space valued Wiener noise on bounded domains. Even though the existence and uniqueness of a pathwise strong solution to SCBF equations is known, the existence of a unique solution to the approximating system is not immediate from the solvability results of SCBF equations, and we prove it by using Faedo-Galerkin approximation technique and monotonicity arguments. Moreover, as an application of the Wong-Zakai approximation, we obtain the support of the distribution of solutions to SCBF equations.
Keywords
Cite
@article{arxiv.2202.11369,
title = {Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations},
author = {Kush Kinra and Manil T. Mohan},
journal= {arXiv preprint arXiv:2202.11369},
year = {2022}
}