19 citations · 91 across the 104 of their papers we have counts for
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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…
Analysis and Numerical Study of Boundary control of generalized Burgers-Huxley equation
Shri Lal Raghudev Ram Singh, Manil T. Mohan
In this work, a boundary control problem for the following generalized Burgers-Huxley (GBH) equation: where , $…
Global existence and non-existence of weak solutions for non-local stochastic semilinear reaction-diffusion equations driven by a fractional noise
S. Sankar, Manil T. Mohan, S. Karthikeyan
In the present paper, we study the existence and blow-up behavior to the following stochastic non-local reaction-diffusion equation: \begin{equation*} \left\{ \begin{aligned} du(t,…
Finite element approximation for a delayed generalized Burgers-Huxley equation with weakly singular kernels: Part I Well-posedness, Regularity and Conforming approximation
Sumit Mahajan, Arbaz Khan, Manil T. Mohan
The analysis of a delayed generalized Burgers-Huxley equation (a non-linear advection-diffusion-reaction problem) with weakly singular kernels is carried out in this work. Moreover…
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…
Approximations of 2D and 3D Stochastic Convective Brinkman-Forchheimer Extended Darcy Equations
Manil T. Mohan
In this article, we consider two- and three- dimensional stochastic convective Brinkman-Forchheimer extended Darcy (CBFeD) equations \begin{equation*} \frac{\partial \boldsymbol{u}…
Wong-Zakai approximation for a class of SPDEs with fully local monotone coefficients and its application
Ankit Kumar, Kush Kinra, Manil T. Mohan
In this article, we establish the \textsl{Wong-Zakai approximation} result for a class of stochastic partial differential equations (SPDEs) with fully local monotone coefficients p…
Uniform large deviation principle for the solutions of two-dimensional stochastic Navier-Stokes equations in vorticity form
Ankit Kumar, Manil T. Mohan
The main objective of this paper is to demonstrate the uniform large deviation principle (UDLP) for the solutions of two-dimensional stochastic Navier-Stokes equations (SNSE) in th…
Backward uniqueness of 2D and 3D convective Brinkman-Forchheimer equations and its applications
Kush Kinra, Manil T. Mohan
In this work, we consider the two- and three-dimensional convective Brinkman-Forchheimer (CBF) equations (or damped Navier--Stokes equations) on a torus $d\in\{2,3\…
Theory of weak asymptotic autonomy of pullback stochastic weak attractors and its applications to 2D stochastic Euler equations driven by multiplicative noise
Kush Kinra, Manil T. Mohan
The two dimensional stochastic Euler equations (EE) perturbed by a linear multiplicative noise of Itô type on the bounded domain have been considered in this work. Ou…
Well-posedness and uniform large deviation principle for stochastic Burgers-Huxley equation perturbed by a multiplicative noise
Ankit Kumar, Vivek Kumar, Manil T. Mohan
In this work, we focus on the global solvability and uniform large deviations for the solutions of stochastic generalized Burgers-Huxley (SGBH) equation perturbed by a small multip…
An inverse source problem for convective Brinkman-Forchheimer equations with the final overdetermination
Pardeep Kumar, Manil T. Mohan
In this paper, we examine an inverse problem for the following convective Brinkman-Forchheimer (CBF) equations or damped Navier-Stokes equations: \begin{align*} \boldsymbol{v}_t-μΔ…
2D and 3D convective Brinkman-Forchheimer equations perturbed by a subdifferential and applications to control problems
Sagar Gautam, Kush Kinra, Manil T. Mohan
The following convective Brinkman-Forchheimer (CBF) equations (or damped Navier-Stokes equations) with potential \begin{equation*} \frac{\partial \boldsymbol{y}}{\partial t}-μΔ\bol…
Asymptotically autonomous robustness in Probability of non-autonomous random attractors for stochastic convective Brinkman-Forchheimer equations on
Kush Kinra, Manil T. Mohan, Renhai Wang
This article is concerned with the \emph{asymptotically autonomous robustness} (almost surely and in probability) of non-autonomous random attractors for two stochastic versions of…