1 citations · 1 across the 12 of their papers we have counts for
13 papers
Divergence-Free Approximation in Sobolev and Lebesgue Spaces on General Unbounded Domains with Applications to Energy Equality in Fluid Dynamics
Akram Khan, Sagar Gautam, Manil T. Mohan
We construct divergence-free, vector-valued approximation functions on the whole space , , as well as on general unbounded domains of uniform $\mathrm{C}^{1,…
Kolmogorov equations for stochastic convective Brinkman-Forchheimer equations forced by Lévy Noise and its application to infinite horizon problems
Sagar Gautam, Manil T. Mohan
This article examines the Kolmogorov equation corresponding to the following stochastic two- and three-dimensional incompressible () convective Brinkma…
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…
A domain hemivariational inequality for 2D and 3D convective Brinkman-Forchheimer extended Darcy equations
Jyoti Jindal, Sagar Gautam, Manil T. Mohan
This paper investigates domain hemivariational inequality problems arising from the non-stationary two- and three-dimensional convective Brinkman-Forchheimer extended Darcy (CBFeD)…
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 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…
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*}…
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…
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…
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…
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…