32 citations · 36 across the 4 of their papers we have counts for
Showing 2008Show all
2 papers · 1 filter
math.AP2008★ 3 cited
Blow up of solutions to generalized Keller--Segel model
Piotr Biler, Grzegorz Karch
The existence and nonexistence of global in time solutions is studied for a class of equations generalizing the chemotaxis model of Keller and Segel. These equations involve Lévy d…
math.AP2008★ 1 cited
On the parabolic-elliptic limit of the doubly parabolic Keller--Segel system modelling chemotaxis
Piotr Biler, Lorenzo Brandolese
We establish new convergence results, in strong topologies, for solutions of the parabolic-parabolic Keller--Segel system in the plane, to the corresponding solutions of the parabo…