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math.PR2024
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…
math.PR2024
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…
math.PR2021
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}|^…