3 citations · 5 across the 15 of their papers we have counts for
16 papers
The stochastic Keller--Segel system in critical spaces
Jae-Hwan Choi, Ankit Kumar, Andrea Pitrone +2
We study stochastic, parabolic-parabolic Keller--Segel equations on the -dimensional torus in scaling critical Besov spaces, for . Using stochastic maximal regularity…
Well-posedness and uniform large deviation principle for stochastic Burgers-Huxley equation perturbed by a multiplicative noise
Ankit Kumar, Vivek Kumar, Manil T. Mohan
In this work, we focus on the global solvability and uniform large deviations for the solutions of stochastic generalized Burgers-Huxley (SGBH) equation perturbed by a small multip…
Small time asymptotics for a class of stochastic partial differential equations with fully monotone coefficients forced by multiplicative Gaussian noise
Ankit Kumar, Manil T. Mohan
The main goal of this article is to study the effect of small, highly nonlinear, unbounded drifts (small time large deviation principle (LDP) based on exponential equivalence argum…
Large deviation principle for a class of stochastic partial differential equations with fully local monotone coefficients perturbed by Lévy noise
Ankit Kumar, Manil T. Mohan
The asymptotic analysis of a class of stochastic partial differential equations (SPDEs) with fully locally monotone coefficients covering a large variety of physical systems, a wid…
Well-posedness of a class of stochastic partial differential equations with fully monotone coefficients perturbed by Lévy noise
Ankit Kumar, Manil T. Mohan
In this article, we consider the following class of stochastic partial differential equations (SPDE): \begin{equation*} \left\{\begin{aligned}\mathrm{d} \mathbf{X}(t)&=\mathrm{A}(t…
An Accurate Pentadiagonal Matrix Solution for the Time-Dependent Schrödinger Equation
Ankit Kumar
One of the unitary forms of the quantum mechanical time evolution operator is given by Cayley's approximation. A numerical implementation of the same involves the replacement of se…