Global solutions to the Vlasov-Poisson-Landau System
Renjun Duan, Tong Yang, Huijiang Zhao
TL;DR
This paper proves the global existence of classical solutions to the Vlasov-Poisson-Landau system with Coulomb potential, offering a new approach inspired by recent advances in related kinetic equations.
Contribution
It establishes the first global existence results for the Vlasov-Poisson-Landau system with Coulomb potential using a novel method.
Findings
Global classical solutions are proven to exist.
The approach differs from recent work on similar systems.
The results extend understanding of Coulomb interactions in kinetic equations.
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].
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Taxonomy
TopicsGas Dynamics and Kinetic Theory · Cold Atom Physics and Bose-Einstein Condensates · Optical properties and cooling technologies in crystalline materials