1 citations · 1 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
On the study of semilinear non-local elliptic systems
Debangana Mukherjee, Debopriya Mukherjee
The purpose of this paper is to study the existence of solutions for semilinear elliptic system driven by fractional Laplacian and establish some new existence results which are ob…
The one-dimensional stochastic Keller--Segel model with time-homogeneous spatial Wiener processes
Erika Hausenblas, Debopriya Mukherjee, Thanh Tran
Chemotaxis is a fundamental mechanism of cells and organisms, which is responsible for attracting microbes to food, embryonic cells into developing tissues, or immune cells to infe…
Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
D. Mukherjee, P. T. Nam, P. T. Nguyen
We consider the focusing nonlinear Schrödinger equation with the critical inverse square potential. We give the first proof of the uniqueness of the ground state solution. Conseque…