79 citations · 141 across the 22 of their papers we have counts for
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math.AP2020
A hyperbolic-elliptic-parabolic PDE model describing chemotactic E. coli colonies
Danielle Hilhorst, Pierre Roux
We study a modified version of an initial-boundary value problem describing the formation of colony patterns of bacteria \textit{Escherichia Coli}. The original system of three par…
math.AP2020
Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system
Léo Girardin, Danielle Hilhorst
The paper is concerned with a singular limit for the bistable traveling wave problem in a very large class of two-species fully nonlinear parabolic systems with competitive reactio…
math.AP2020★ 5 cited
Mathematical treatment of PDE model describing chemotactic E. coli colonies
Rafał Celiński, Danielle Hilhorst, Grzegorz Karch +2
We consider an initial-boundary value problem describing the formation of colony patterns of bacteria Escherichia coli. This model consists of reaction-diffusion equations coupled…