70 citations · 150 across the 39 of their papers we have counts for
12 papers · 1 filter
Weak solutions for coupled reaction-diffusion systems with pattern formation by a stochastic fixed point theorem
Erika Hausenblas, Michael A. Högele, Tesfalem A. Tegegn
Chemical and biochemical reactions can exhibit surprisingly different behaviours, ranging from multiple steady-state solutions to oscillatory solutions and chaotic behaviours. Thes…
Reduced dynamics for models of pattern formation
Erika Hausenblas, Tsiry Avisoa Randrianasolo
The goal of this work is to analyze the long-term behavior of reaction-diffusion systems arising in two-species chemical models and to identify finite sets of modes that determine…
On the existence and uniqueness of solution to a stochastic Chemotaxis-Navier-Stokes model
Erika Hausenblas, Boris Jidjou Moghomye, Paul André Razafimandimby
In this article, we study a mathematical system which models the dynamic of the collective behaviour of oxygen-driven swimming bacteria in an aquatic fluid flowing in a two dimensi…
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…
The stochastic Gierer-Meinhardt system
Erika Hausenblas, Akash Ashirbad Panda
The Gierer-Meinhardt system occurs in morphogenesis, where the development of an organism from a single cell is modelled. One of the steps in the development, is the formation of s…