2 papers
math.AP2019
Vanishing cross-diffusion limit in a Keller-Segel system with additional cross-diffusion
Ansgar Jüngel, Oliver Leingang, Shu Wang
Keller-Segel systems in two and three space dimensions with an additional cross-diffusion term in the equation for the chemical concentration are analyzed. The cross-diffusion term…
math.AP2017
Blow-up of solutions to semi-discrete parabolic-elliptic Keller-Segel models
Ansgar Jüngel, Oliver Leingang
The existence of weak solutions and upper bounds for the blow-up time for time-discrete parabolic-elliptic Keller-Segel models for chemotaxis in the two-dimensional whole space are…