We propose a PDE chemotaxis model, which can be viewed as a regularization of the Patlak-
Keller-Segel (PKS) system. Our modification is based on a fundamental physical property of …

We consider classical as well as weak solutions to the three dimensional Vlasov–Poisson
system. Without assuming finiteness of kinetic energy, we prove global existence of classical …

We consider a one-species plasma moving in an infinite cylinder, in which it is confined by
means of a magnetic field diverging on the walls of the cylinder. It is assumed that initially …

We study the time evolution of a Vlasov-Poisson plasma moving in an infinite cylinder, in
which it is confined by an unbounded external magnetic field. This field depends only on the …

A collisionless plasma is modeled by the Vlasov-Poisson system in three space dimensions.
A fixed background of positive charge, which is independent of time and space, is assumed …

We study the time evolution of a single species positive plasma, confined in a cylinder and
having infinite charge. We extend the result of a previous work by the same authors, for a …

We consider the Vlasov–Poisson equation in ℝ 3 with initial data which are not L 1 in space
and have unbounded support in the velocities. Assuming for the density a slight decay in …

We study existence and uniqueness of the solution to the Vlasov-Poisson system describing
a one-species plasma evolving in ℝ3, whose particles interact via the Coulomb potential. It …

In a recent paper Calogero and Alcántara [Kinet. Relat. Models, 4 (2011), pp. 401-426]
derived a Lorentz-invariant Fokker-Planck equation, which corresponds to the evolution of a …

We consider the one and one‐half dimensional multi‐species relativistic Vlasov–Maxwell
system with non‐decaying (in space) initial data. We prove its well‐posedness and …