19 citations · 91 across the 104 of their papers we have counts for
16 papers · 1 filter
Well-posedness and the Łojasiewicz-Simon inequality in the asymptotic analysis of a nonlinear heat equation with constraints of finite codimension
Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan +1
We establish the global well-posedness of the valued strong solution to a nonlinear heat equation with constraints on a \textit{Poincaré domain} $\bO\subset \R^d$ whose boun…
Finite element analysis of a nonlinear heat Equation with damping and pumping effects
Rishabh Shukla, Wasim Akram, Manil T. Mohan
We study the following nonlinear heat equation with damping and pumping effects (a reaction-diffusion equation) posed on a bounded simply connected convex domain $Ω\subset \mathbb{…
Large deviation principle for a stochastic nonlinear damped Schrodinger equation
Sandip Roy, Debopriya Mukherjee, Manil Thankamani Mohan
The present paper focuses on the stochastic nonlinear Schrodinger equation with polynomial nonlinearity, and a zero-order (no derivatives involved) linear damping. Here, the random…
A viscosity solution approach to the large deviation principle for stochastic convective Brinkman-Forchheimer equations
Sagar Gautam, Manil T. Mohan
This article develops the viscosity solution approach to the large deviation principle for the following two- and three-dimensional stochastic convective Brinkman-Forchheimer equat…
Well-posedness of stationary 2D and 3D convective Brinkman-Forchheimer extended Darcy Hemivariational inequalities
Manil T. Mohan
This study addresses the well-posedness of a hemivariational inequality derived from the convective Brinkman-Forchheimer extended Darcy (CBFeD) model in both two and three dimensio…
Optimal Control of a Hemivariational Inequality of Stationary Convective Brinkman-Forchheimer Extended Darcy equations with Numerical Approximation
Wasim Akram, Manil T. Mohan
This paper studies an optimal control problem for a stationary convective Brinkman-Forchheimer extended Darcy (CBFeD) hemivariational inequality in two and three dimensions, subjec…
Well-posedness of a boundary hemivariational inequality for stationary and non-stationary 2D and 3D convective Brinkman-Forchheimer equations
Jyoti Jindal, Sagar Gautam, Manil T. Mohan
This paper investigates boundary hemivariational inequality problems associated with both stationary and non-stationary two and three-dimensional convective Brinkman-Forchheimer eq…
Mixed Finite Element Method for a Hemivariational Inequality of Stationary convective Brinkman-Forchheimer Extended Darcy equations
Wasim Akram, Manil T. Mohan
This paper presents the formulation and analysis of a mixed finite element method for a hemivariational inequality arising from the stationary convective Brinkman-Forchheimer exten…
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…
Global well-posedness and Asymptotic analysis of a nonlinear heat equation with constraints of finite codimension
Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan
We prove the global existence and the uniqueness of the valued () strong solutions of a nonlinear heat equation with constraints over bounded doma…
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…
Inverse problem for wave equation of memory type with acoustic boundary conditions: Global solvability
Zhanna D. Totieva, Kush Kinra, Manil T. Mohan
In this article, we study the one-dimensional inverse problem of determining the memory kernel by the integral overdetermination condition for the direct problem of finding the vel…
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 feedback…
Error estimates for viscous Burgers' equation using deep learning method
Wasim Akram, Sagar Gautam, Deepanshu Verma +1
The article focuses on error estimates as well as stability analysis of deep learning methods for stationary and non-stationary viscous Burgers equation in two and three dimensions…
Stabilizability of 2D and 3D Navier-Stokes equations with memory around a non-constant steady state
Wasim Akram, Manika Bag, Manil T. Mohan
In this article, we investigate the stabilizability of the two- and three-dimensional Navier-Stokes equations with memory effects around a non-constant steady state using a localiz…