Time evolution of a Vlasov-Poisson plasma with different species and infinite mass in ${\mathbb{R}}^3$

Abstract

We study existence and uniqueness of the solution to the Vlasov-Poisson system describing a plasma constituted by different species evolving in ${\mathbb{R}}^3$, whose particles interact via the Coulomb potential. The species can have both positive or negative charge. It is assumed that initially the particles are distributed according to a spatial density with a power-law decay in space, allowing for unbounded mass, and an exponential decay in velocities given by a Maxwell-Boltzmann law, extending a result obtained by the same authors, which was restricted to finite total mass.

References in corpus (1)

• On the magnetic shield for a Vlasov-Poisson plasma