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math.AP2020
Delayed Blow-Up for Chemotaxis Models with Local Sensing
Martin Burger, Philippe Laurençot, Ariane Trescases
The aim of this paper is to analyze a model for chemotaxis based on a local sensing mechanism instead of the gradient sensing mechanism used in the celebrated minimal Keller-Segel…
math.AP2018
Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations
Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno +1
The goal of these lecture notes is to present in a unified way various models for the dynamics of aligning self-propelled rigid bodies at different scales and the links between the…
math.AP2015
On triangular reaction cross-diffusion systems with possible self-diffusion
Ariane Trescases
We present new results of existence of global solutions for a class of reaction cross-diffusion systems of two equations presenting a cross-diffusion term in the first equation, an…