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Arbitrarily Large Solutions of the Vlasov-Poisson System

Journal article
Authors J. Ben-Artzi
Simone Calogero
S. Pankavich
Published in SIAM Journal on Mathematical Analysis
Volume 50
Issue 4
Pages 4311-4326
ISSN 0036-1410
Publication year 2018
Published at Department of Mathematical Sciences
Pages 4311-4326
Language en
Links dx.doi.org/10.1137/17m1142715
Keywords Vlasov poisson; near blowup; kinetic theory; plasma
Subject categories Applied mathematics

Abstract

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.

Page Manager: Webmaster|Last update: 9/11/2012
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