Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations

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 existence uniqueness of a pathwise strong solution to SCBF is known, unique approximating system not immediate from solvability equations, prove it using Faedo-Galerkin technique monotonicity arguments. Moreover, as an application approximation, obtain support distribution solutions equations.