$\mathbb{L}^p$-solutions of deterministic and stochastic convective Brinkman-Forchheimer equations

no code implementations • 2 Feb 2021 • Manil T. Mohan

In the first part of this work, we establish the existence and uniqueness of a local mild solution to the deterministic convective Brinkman-Forchheimer (CBF) equations defined on the whole space, by using properties of the heat semigroup and fixed point arguments based on an iterative technique.

Probability

Large deviation principle for occupation measures of the two dimensional stochastic convective Brinkman-Forchheimer equations

no code implementations • 14 Dec 2020 • Ankit Kumar, Manil T. Mohan

The present work is concerned about the two-dimensional stochastic convective Brinkman-Forchheimer (2D SCBF) equations perturbed by a white noise (non degenerate) in smooth bounded domains in $\R^{2}$.

Probability