19 citations · 91 across the 104 of their papers we have counts for
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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…
On the convective Brinkman-Forchheimer equations
Sagar Gautam, Manil T. Mohan
The convective Brinkman--Forchheimer equations or the Navier--Stokes equations with damping in bounded or periodic domains , are considered in…
Well-posedness of three-dimensional Damped Cahn-Hilliard-Navier-Stokes Equations
Manika Bag, Sheetal Dharmatti, Manil T Mohan
This paper presents a mathematical analysis of the evolution of a mixture of two incompressible, isothermal fluids flowing through a porous medium in a three dimensional bounded do…
Random dynamics of solutions for three-dimensional stochastic globally modified Navier-Stokes equations on unbounded Poincaré domains
Kush Kinra, Manil T. Mohan
In this article, we consider a novel version of three-dimensional (3D) globally modified Navier-Stokes (GMNS) system introduced by [Caraballo et. al., Adv. Nonlinear Stud. (2006),…
Central limit theorem and moderate deviation principle for the stochastic generalized Burgers-Huxley equation with multiplicative noise
Vivek Kumar, Ankit Kumar, Manil T. Mohan
In this work, we investigate the Central Limit Theorem (CLT) and Moderate Deviation Principle (MDP) for the stochastic generalized Burgers-Huxley (SGBH) equation with multiplicativ…
Existence and asymptotic autonomous robustness of random attractors for three-dimensional stochastic globally modified Navier-Stokes equations on unbounded domains
Bui Kim My, Ho Thi Hang, Kush Kinra +2
In this article, we discuss the existence and asymptotically autonomous robustness (AAR) (almost surely) of random attractors for 3D stochastic globally modified Navier-Stokes equa…
Blow-up of stochastic semilinear parabolic equations driven by Lévy noise
Manil T. Mohan, S. Pradeep, S. Sankar +1
The blow-up phenomena of stochastic semilinear parabolic equations with additive as well as linear multiplicative Lévy noises are investigated in this work. By suitably modifying t…
Existence and uniqueness of weak solutions for the generalized stochastic Navier-Stokes-Voigt equations
Ankit Kumar, Hermenegildo Borges de Oliveira, Manil T. Mohan
In this work, we consider the incompressible generalized Navier-Stokes-Voigt equations in a bounded domain , , driven by a multiplicative G…
Non-Conforming Structure Preserving Finite Element Method for Doubly Diffusive Flows on Bounded Lipschitz Domains
Jai Tushar, Arbaz Khan, Manil T. Mohan
We study a stationary model of doubly diffusive flows with temperature-dependent viscosity on bounded Lipschitz domains in two and three dimensions. A new well-posedness and regula…
Approximate controllability and Irreducibility of the transition semigroup associated with Convective Brinkman-Forchheimer extended Darcy Equations
Sagar Gautam, Manil T. Mohan
In this article, the following controlled convective Brinkman-Forchheimer extended Darcy (CBFeD) system is considered in a -dimensional torus : \begin{align*} \fra…
Local exact controllability to the trajectories of the convective Brinkman-Forchheimer equations
Pardeep Kumar, Manil T. Mohan
In this article, we discuss the local exact controllability to trajectories of the following convective Brinkman-Forchheimer (CBF) equations (or damped Navier-Stokes equations) def…
Boundary control of generalized Korteweg-de Vries-Burgers-Huxley equation: Well-Posedness, Stabilization and Numerical Studies
Manil T. Mohan, Shri Lal Raghudev Ram Singh
A boundary control problem for the following generalized Korteweg-de Vries-Burgers-Huxley equation: where $ν,…