19 citations · 91 across the 104 of their papers we have counts for
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Approximate controllability of non-autonomous second order impulsive functional evolution equations in Banach spaces
Sumit Arora, Soniya Singh, Manil T. Mohan +1
This article investigates the approximate controllability of second order non-autonomous functional evolution equations involving non-instantaneous impulses and nonlocal conditions…
-Random attractors for 2D stochastic convective Brinkman-Forchheimer equations in unbounded domains
Kush Kinra, Manil T. Mohan
The asymptotic behavior of solutions of two dimensional stochastic convective Brinkman-Forchheimer (2D SCBF) equations in unbounded domains is discussed in this work (for example,…
Martingale solution, invariant measure and ergodicity for stochastic convective Brinkman-Forchheimer equations on general domains in
Kush Kinra, Fernanda Cipriano, Manil T. Mohan
The convective Brinkman-Forchheimer equations (CBFEs) \[ \frac{\partial \boldsymbol{X}}{\partial t} - μΔ\boldsymbol{X} + (\boldsymbol{X}\cdot\nabla)\boldsymbol{X} + α\boldsymbol{X}…
Long term behavior of 2D and 3D non-autonomous random convective Brinkman-Forchheimer equations driven by colored noise
Kush Kinra, Manil T. Mohan
The long time behavior of Wong-Zakai approximations of 2D as well as 3D non-autonomous stochastic convective Brinkman-Forchheimer (CBF) equations with non-linear diffusion terms on…
Well-posedness of an inverse problem for two and three dimensional convective Brinkman-Forchheimer equations with the final overdetermination
Pardeep Kumar, Manil T. Mohan
In this article, we study an inverse problem for the following convective Brinkman-Forchheimer (CBF) equations: \begin{align*} \boldsymbol{u}_t-μΔ\boldsymbol{u}+(\boldsymbol{u}\cdo…
Large deviation principle for occupation measures of stochastic generalized Burgers-Huxley equation
Ankit Kumar, Manil T. Mohan
The present work deals with the global solvability as well as asymptotic analysis of stochastic generalized Burgers-Huxley (SGBH) equation perturbed by space-time white noise in a…
Approximate controllability of non-instantaneous impulsive fractional evolution equations of order with state-dependent delay in Banach spaces
S. Arora, Manil T. Mohan, J. Dabas
The current article examines the approximate controllability problem for non-instantaneous impulsive fractional evolution equations of order with state-dependent delay in s…
Approximate controllability of fractional order non-instantaneous impulsive functional evolution equations with state-dependent delay in Banach spaces
S. Arora, M. T. Mohan, J. Dabas
The present paper deals with the control problems governed by fractional non-instantaneous impulsive functional evolution equations with state-dependent delay involving Caputo frac…
Global well-posedness and small time asymptotics of stochastic Ladyzhenskaya-Smagorinsky equations with damping on unbounded domains
Ankit Kumar, Manil T. Mohan
The Ladyzhenskaya-Smagorinsky equations model turbulence phenomena, and are given by $$\frac{\partial \boldsymbol{u}}{\partial t}-μ\mathrm{div}\left(\left(1+|\nabla\boldsymbol{u}|^…
Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole domain
Kush Kinra, Manil T. Mohan
In this work, we analyze the long time behavior of 2D as well as 3D convective Brinkman-Forchheimer (CBF) equations and its stochastic counter part with non-autonomous deterministi…
A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids
Pardeep Kumar, Kush Kinra, Manil T. Mohan
In this paper, we consider an inverse problem for three dimensional viscoelastic fluid flow equations, which arises from the motion of Kelvin-Voigt fluids in bounded domains (a hyp…
Convergence of random attractors towards deterministic singleton attractor for 2D and 3D convective Brinkman-Forchheimer equations
Kush Kinra, Manil T. Mohan
This work deals with the asymptotic behavior of the two as well as three dimensional convective Brinkman-Forchheimer (CBF) equations in periodic domains: $$\frac{\partial\boldsymbo…
-solutions of deterministic and stochastic convective Brinkman-Forchheimer equations
Manil T. Mohan
In the first part of this work, we establish the existence and uniqueness of a local mild solution to the deterministic convective Brinkman-Forchheimer (CBF) equations defined on t…
Optimal control problems governed by two dimensional convective Brinkman-Forchheimer equations
Manil T. Mohan
The convective Brinkman-Forchheimer (CBF) equations describe the motion of incompressible viscous fluid through a rigid, homogeneous, isotropic, porous medium. In this work, we con…
Large deviation principle for occupation measures of two dimensional stochastic convective Brinkman-Forchheimer equations
Ankit Kumar, Manil T. Mohan
The present work is concerned about two-dimensional stochastic convective Brinkman-Forchheimer (2D SCBF) equations perturbed by a white noise (non degenerate) in smooth bounded dom…
Conforming, nonconforming and DG methods for the stationary generalized Burgers- Huxley equation
Arbaz Khan, Manil T Mohan, Ricardo Ruiz-Baier
In this work we address the analysis of the stationary generalized Burgers-Huxley equation (a nonlinear elliptic problem with anomalous advection) and propose conforming, nonconfor…