4 papers
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…
Central limit theorem and moderate deviation principle for the stochastic generalized Burgers-Huxley equation with multiplicative noise
Vivek Kumar, Ankit Kumar, Manil T. Mohan
In this work, we investigate the Central Limit Theorem (CLT) and Moderate Deviation Principle (MDP) for the stochastic generalized Burgers-Huxley (SGBH) equation with multiplicativ…
Existence and uniqueness of weak solutions for the generalized stochastic Navier-Stokes-Voigt equations
Ankit Kumar, Hermenegildo Borges de Oliveira, Manil T. Mohan
In this work, we consider the incompressible generalized Navier-Stokes-Voigt equations in a bounded domain , , driven by a multiplicative G…
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}|^…