Global well posedness of the relativistic Vlasov-Yukawa system with small data

DOI10.1063/1.2820988zbMath1153.81369OpenAlexW2042969960MaRDI QIDQ3544559

Seung-Yeal Ha, Ho Lee

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2820988

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (7)

Dispersion estimates for the two-dimensional Vlasov-Yukawa system with small data ⋮ Traveling wave solutions of the \(n\)-dimensional coupled Yukawa equations ⋮ Global existence of classical solutions to the damped Vlasov–Klein–Gordon equations with small data ⋮ Small-time existence and two classes of solutions for the \(n\)-dimensional coupled Yukawa equations ⋮ Classical solutions to the Vlasov-Poisson system in an accelerating cosmological setting ⋮ Nonlinear instability of the one-dimensional Vlasov-Yukawa system ⋮ Global existence and nonrelativistic limit for the Vlasov-Maxwell-Chern-Simons system

Cites Work

• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Global weak solutions of the relativistic Vlasov-Klein-Gordon system
• Remarks on the stability of the frictionless Vlasov-Poisson-Fokker-Planck system
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• New Lyapunov Functionals of the Vlasov--Poisson System
• The Vlasov-Poisson-Boltzmann system near vacuum

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