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A Verification Theorem for an Optimal Control Problem Governed by the Convective Brinkman--Forchheimer Equations
Sagar Gautam, Manil T. Mohan
This article establishes a verification theorem for an optimal control problem governed by the two- and three-dimensional convective Brinkman--Forchheimer equations on the -dime…
Optimal control of convective Brinkman-Forchheimer equations: Dynamic programming equation and Viscosity solutions
Sagar Gautam, Manil T. Mohan
It has been pointed out in the work [F. Gozzi et.al., \emph{Arch. Ration. Mech. Anal.} {163}(4) (2002), 295--327] that the existence and uniqueness of viscosity solutions to the fi…
Hamilton-Jacobi-Bellman equation and Viscosity solutions for an optimal control problem for stochastic convective Brinkman-Forchheimer equations
Sagar Gautam, Manil T. Mohan
In this work, we consider the following two- and three-dimensional stochastic convective Brinkman-Forchheimer (SCBF) equations in torus : \begin{align*}…
Kolmogorov equations for 2D stochastic convective Brinkman-Forchheimer equations: Analysis and Applications
Sagar Gautam, Manil T. Mohan
In this work, we consider the following 2D stochastic convective Brinkman-Forchheimer (SCBF) equations in a bounded smooth domain : \begin{align*} \mathrm{d}\boldsymbo…
Feedback stabilization of Convective Brinkman-Forchheimer Extended Darcy equations
Sagar Gautam, Kush Kinra, Manil T. Mohan
In this article, the following controlled convective Brinkman-Forchheimer extended Darcy (CBFeD) system is considered in a -dimensional torus: \begin{align*} \frac{\partial\bold…