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math.AP2016
A degenerate chemotaxis system with flux limitation: Finite-time blow-up
Nicola Bellomo, Michael Winkler
This paper is concerned with radially symmetric solutions of the parabolic-elliptic version of the Keller-Segel system with flux limitation, as given by \begin{equation} \left\{ \b…
math.AP2016
A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
Nicola Bellomo, Michael Winkler
This paper aims at providing a first step toward a qualitative theory for a new class of chemotaxis models derived from the celebrated Keller-Segel system, with the main novelty be…