Global Classical Solutions for the Vlasov--Nordström--Fokker--Planck System

DOI10.1137/20M1368811zbMath1478.35206MaRDI QIDQ5162764

Tong Yang, Shuangqian Liu, Renjun Duan

Publication date: 5 November 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

global existencelarge time behaviorsKlein-GordonVlasov-Nordström-Fokker-Planck

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Vlasov equations (35Q83) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84) Classical solutions to PDEs (35A09)

Cites Work

• Global solutions to the relativistic Vlasov-Poisson-Fokker-Planck system
• The Vlasov-Poisson-Boltzmann system without angular cutoff
• Global smooth dynamics of a fully ionized plasma with long-range collisions
• The relativistic Vlasov-Maxwell-Boltzmann system for short range interaction
• On a relativistic Fokker-Planck equation in kinetic theory
• Spatially homogeneous solutions of the Vlasov-Nordström-Fokker-Planck system
• Multipole radiation in a collisionless gas coupled to electromagnetism or scalar gravitation
• Global classical solutions to the 3D Nordström-Vlasov system
• The Vlasov-Maxwell-Boltzmann system near Maxwellians
• Global weak solutions to the Nordström-Vlasov system
• Propagation of regularity and long time behavior of \(3D\) Massive relativistic transport equation I: Vlasov-Nordström system
• Vorticity and Incompressible Flow
• Global Classical Solutions for the Vlasov–Maxwell–Fokker–Planck System
• The relativistic Vlasov–Maxwell–Fokker–Planck system in the whole space
• The stability of the Minkowski space for the Einstein-Vlasov system
• The Einstein-Vlasov system/kinetic theory

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