1 citations · 1 across the 11 of their papers we have counts for
13 papers
Sphere Constraints and Harmonic Map Flow: Controllability and Reachability by Low-Mode Forcing
Debopriya Mukherjee, Kistosil Fahim, Erika Hausenblas
We study the controllability and reachability of sphere-constrained evolution equations under degenerate (low-mode) forcing, with the harmonic map heat flow as the principal applic…
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 no…
Large deviation principle for a stochastic nonlinear damped Schrodinger equation
Sandip Roy, Debopriya Mukherjee, Manil Thankamani Mohan
The present paper focuses on the stochastic nonlinear Schrodinger equation with polynomial nonlinearity, and a zero-order (no derivatives involved) linear damping. Here, the random…
Landau-Lifshitz-Gilbert equations: Controllability by Low Modes Forcing for deterministic version and Support Theorems for Stochastic version
Mrinmay Biswas, Erika Hausenblas, Debopriya Mukherjee
In this article, we study the controllability issues of the Landau-Lifshitz-Gilbert Equations (LLGEs), accompanied with non-zero exchange energy only, in an interval in one spatial…
Uniqueness of the stochastic Keller-Segel model in one dimension
Erika Hausenblas, Debopriya Mukherjee, Thanh Tran
In a recent paper (J. Differential Equations, 310: 506-554, 2022), the authors proved the existence of martingale solutions to a stochastic version of the classical Patlak-Keller-S…
Martingale Solution to a Stochastic Chemotaxis System with Porous Medium Diffusion
Erika Hausenblas, Debopriya Mukherjee, Ali Zakaria
In this paper, we study the classical Keller - Segel system on a two-dimensional domain perturbed by a pair of Wiener processes, where the leading diffusion term is replaced by a p…