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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 n…
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…
Optimal existence of weak solutions for the generalised Navier-Stokes-Voigt equations
Ankit Kumar, Hermenegildo Borges de Oliveira, Manil T. Mohan
In this study, we investigate the incompressible generalised Navier-Stokes-Voigt equations within a bounded domain , where . The governing momentu…
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…