Open Access
2013 Large Time Behavior of the Vlasov-Poisson-Boltzmann System
Li Li, Shuilin Jin, Li Yang
Abstr. Appl. Anal. 2013(SI29): 1-9 (2013). DOI: 10.1155/2013/632903


The motion of dilute charged particles can be modeled by Vlasov-Poisson-Boltzmann system. We study the large time stability of the VPB system. To be precise, we prove that when time goes to infinity, the solution of VPB system tends to global Maxwellian state in a rate O t , by using a method developed for Boltzmann equation without force in the work of Desvillettes and Villani (2005). The improvement of the present paper is the removal of condition on parameter λ as in the work of Li (2008).


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Li Li. Shuilin Jin. Li Yang. "Large Time Behavior of the Vlasov-Poisson-Boltzmann System." Abstr. Appl. Anal. 2013 (SI29) 1 - 9, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095189
MathSciNet: MR3090274
Digital Object Identifier: 10.1155/2013/632903

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI29 • 2013
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