19 citations · 91 across the 104 of their papers we have counts for
16 papers · 1 filter
Optimal Control of 2D Navier--Stokes Equations with Constraints of Finite Codimension
Manil T. Mohan
We study an optimal control problem for the two-dimensional Navier-Stokes equations projected onto the tangent space of the -unit sphere manifold $\mathcal{M} := \{\bol…
Global Well-Posedness of the Kuramoto--Sivashinsky Equation in One and Two Dimensions under a Codimension-One Constraint
Harsh Tiwari, Manil T. Mohan
We study the Kuramoto--Sivashinsky (KS) equation in one, two, and three spatial dimensions subject to a codimension-one constraint. The constraint preserves the \(L^2\)-norm of the…
Global existence and uniqueness of solutions in a chemotaxis system with density-suppressed motility, a logistic source, and indirect signal production under a strong Allee effect
Om Tripathi, Sourav Kumar Sasmal, Manil T. Mohan
We consider the following chemotaxis-growth system, featuring density-suppressed motility and a -logistic growth term that incorporates a strong Allee effect: \begin{equation*}…
Global Well-posedness and Asymptotic Analysis of a Damped Nonlinear Wave Equation with a Codimension-One Constraint
Harsh Tiwari, Manil T. Mohan
We prove the global existence and uniqueness of strong solutions to a constrained version of the damped nonlinear wave equation $$ \vartheta_{tt}+γ\vartheta_t-Δ\vartheta+|\vartheta…
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 Quasi-Variational--Hemivariational Inequality for the Convective Brinkman--Forchheimer Extended Darcy Equations with Bingham Fluids
Jyoti Jindal, Manil T. Mohan
This paper is devoted to the analysis of a quasi-variational--hemivariational inequality associated with the convective Brinkman--Forchheimer extended Darcy (CBFeD) equations for B…
Averaging principle for a slow-fast stochastic nonlinear fractional Schrödinger equation
Manil T. Mohan, Debopriya Mukherjee, Sandip Roy
We establish an averaging principle for a structural multiscale stochastic nonlinear fractional Schrödinger system on the one-dimensional torus driven by a multiplicative Wiener no…
Existence and uniqueness results of a stochastic nonlinear heat equation with a constraint of codimension one
Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan
In this work, we investigate the well-posedness of a stochastic heat equation with an arbitrary (but polynomial) nonlinearity in any dimension perturbed by a multiplicati…
Non-uniqueness for the stochastic incompressible Euler equations with a passive tracer
Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan
In this work we investigate the phenomenon of pathwise non-uniqueness for the stochastic incompressible Euler equations with a passive tracer on the whole Euclidean space. The stoc…
Rate of convergence of a nonlinear heat equation with a constraint of codimension one
Ashish Bawalia, Manil T. Mohan
We consider a nonlinear constrained heat flow evolving on the manifold over bounded smooth domains. It is known that the solution corre…
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)…
Long-time behaviour of a nonlocal stochastic fractional reaction--diffusion equation arising in tumour dynamics
Nikos I. Kavallaris, Subramani Sankar, Manil T. Mohan +2
We introduce a stochastic nonlocal reaction--diffusion model arising in tumour dynamics. Spatial dispersal is described by the fractional Laplacian, accounting for anomalous diffus…
Existence and uniqueness of time-periodic solutions of the 2D and 3D convective Brinkman-Forchheimer extended Darcy equations
Manil T. Mohan
In this work, we investigate the existence and uniqueness of solutions to the following 2D and 3D convective Brinkman-Forchheimer extended Darcy equations defined on a bounded smoo…
Optimal existence of weak solutions for the power-law Navier-Stokes-Voigt equations
Ankit Kumar, Hermenegildo Borges de Oliveira, Manil T. Mohan
We study the power-law Navier--Stokes--Voigt system in a bounded domain, subject to appropriate initial conditions and no-slip boundary conditions. The analysis is governed by the…