Large Time Behavior of the Vlasov-Poisson-Boltzmann System | Zendy

Li Li | Zendy; Shuilin Jin | Zendy; Li Yang | Zendy

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Large Time Behavior of the Vlasov-Poisson-Boltzmann System

Author(s) -

Li Li,

Shuilin Jin,

Li Yang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/632903

Subject(s) - algorithm , stability (learning theory) , computer science , machine learning

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 Ot−∞, 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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