10 papers
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…
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…