Classical solvability of the relativistic Vlasov-Maxwell system with bounded spatial density

Autor:	Sospedra-Alfonso, Reinel, Illner, Reinhard
Rok vydání:	2012
Předmět:	Mathematical Physics Mathematics - Analysis of PDEs 35Q60 35Q83
Zdroj:	Math. Meth. Appl. Sci., 33:751-757 (2010)
Druh dokumentu:	Working Paper
DOI:	10.1002/mma.1191
Popis:	In (Arch. Rational. Mech. Anal 1986, 92:59-90), Glassey and Strauss showed that if the growth in the momentum of the particles is controlled, then the relativistic Vlasov-Maxwell system has a classical solution globally in time. Later they proved that such control is achieved if the kinetic energy density of the particles remains bounded for all time (Math. Meth. Appl. Sci. 1987, 9:46-52). Here, we show that the latter assumption can be weakened to the boundedness of the spatial density. Comment: AMS-LaTeX, 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1209.0141 Zobrazit plný text záznamu View this record from Arxiv