Global solutions to the Vlasov-Poisson-Landau System

Abstract

Based on the recent study on the Vlasov-Poisson-Boltzmann system with general angular cutoff potentials [3, 4], we establish in this paper the global existence of classical solutions to the Cauchy problem of the Vlasov-Poisson-Landau system that includes the Coulomb potential. This then provides a different approach on this topic from the recent work [8].

10 pages

References in corpus (1)

• The Vlasov-Poisson-Boltzmann System for Soft Potentials

Cited by in corpus (6)

• The Boltzmann equation, Besov spaces, and optimal time decay rates in the whole space
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• The Vlasov-Poisson-Landau System in ${\mathbb{R}}_x^3$
• Negative Sobolev Spaces and the Two-species Vlasov-Maxwell-Landau System in the Whole Space
• Global solution and time decay of the Vlasov-Poisson-Landau system in R3
• Global smooth dynamics of a fully ionized plasma with long-range collisions