32 citations · 36 across the 4 of their papers we have counts for
4 papers
Blowup of solutions to a diffusive aggregation model
Piotr Biler, Grzegorz Karch, Philippe Laurençot
The nonexistence of global in time solutions is studied for a class of aggregation equations involving Lévy diffusion operators and general interaction kernels.
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…
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…
Global existence versus blow up for some models of interacting particles
Piotr Biler, Lorenzo Brandolese
We study the global existence and space-time asymptotics of solutions for a class of nonlocal parabolic semilinear equations. Our models include the Nernst-Planck and the Debye-Huk…