Arbitrarily Large Solutions of the Vlasov-Poisson System
Journal article, 2018

We study smooth, global-in-time solutions of the Vlasov-Poisson system in the plasma physical case that possess arbitrarily large charge densities and electric fields. In particular, we construct two classes of solutions with this property. The first class consists of spherically symmetric solutions that initially possess arbitrarily small density and field values but attain arbitrarily large values of these quantities at some later time. Additionally, we construct a second class of spherically symmetric solutions that possess any desired mass and attain arbitrarily large density and field values at any later prescribed time.

plasma

Vlasov poisson

near blowup

kinetic theory

Author

Jonathan Ben-Artzi

Cardiff University

Simone Calogero

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Stephen Pankavich

Colorado School of Mines

SIAM Journal on Mathematical Analysis

0036-1410 (ISSN) 1095-7154 (eISSN)

Vol. 50 4 4311-4326

Subject Categories

Computational Mathematics

Other Physics Topics

Mathematical Analysis

DOI

10.1137/17M1142715

More information

Latest update

3/19/2019