Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Arbitrarily large solutions of the Vlasov--Poisson system

Ben-Artzi, Jonathan, 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

PDF - Published Version
Download (316kB) | Preview


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: 24 Feb 2020 17:15

Citation Data

Cited 2 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item


Downloads per month over past year

View more statistics