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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…
Boundary Stabilizability of Generalized Burgers-Huxley Equation with Memory
Manika Bag, Wasim Akram, Manil T. Mohan
In this paper, we study a generalized Burgers-Huxley equation with memory, subject to nonhomogeneous Dirichlet boundary conditions. We construct a linear, finite-dimensional Dirich…
Optimal Control of Stationary Doubly Diffusive Flows on Lipschitz Domains
Jai Tushar, Arbaz Khan, Manil T. Mohan
In this work, we study the control constrained distributed optimal control of a stationary doubly diffusive flow model. For the control problem, we use a well-posedness analysis ba…
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*}…
Feedback Stabilizability of a generalized Burgers-Huxley equation with kernel around a non-constant steady state
Wasim Akram, Manika Bag, Manil T. Mohan
In this article, we investigate a generalized Burgers-Huxley equation with a smooth kernel defined in a bounded domain , , focusing on feedbac…