Arbitrarily large solutions of the Vlasov--Poisson system

Ben-Artzi, Jonathan ORCID: https://orcid.org/0000-0001-6184-9313, Calogero, Simone and Pankavich, Stephen 2018. Arbitrarily large solutions of the Vlasov--Poisson system. SIAM Journal on Mathematical Analysis 50 (4) , pp. 4311-4326. 10.1137/17M1142715

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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.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Society for Industrial and Applied Mathematics
ISSN:	0036-1410
Date of First Compliant Deposit:	7 August 2018
Date of Acceptance:	23 May 2018
Last Modified:	21 May 2023 15:09
URI:	https://orca.cardiff.ac.uk/id/eprint/113998

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