Ankit Kumar

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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 $O \subset R^{d}$ , $d \geq 2$ , driven by a multiplicative G…