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math.AP2020
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…
math.AP2020
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…
math.NA2020
A Shape calculus approach for time harmonic solid-fluid interaction problem in stochastic domains
Debopriya Mukherjee, Thanh Tran
The present paper deals with the interior solid-fluid interaction problem in harmonic regime with randomly perturbed boundaries. Analysis of the shape derivative and shape Hessian…