Global existence of small amplitude solutions to the Vlasov–Poisson system with radiation damping

DOI10.1142/S0129167X15500986zbMath1333.35288MaRDI QIDQ2788766

Jing Chen, Xian-Wen Zhang

Publication date: 22 February 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

global existenceclassical solutionVlasov-Poisson systemradiation dampinginitial datum

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83)

Related Items (8)

A non-relativistic model of plasma physics containing a radiation reaction term ⋮ Moment propagation of the Vlasov-Poisson system with a radiation term ⋮ Optimal decay estimates for the Vlasov-Poisson system with radiation damping ⋮ On global solutions to the Vlasov-Poisson system with radiation damping ⋮ Classical solutions for the Vlasov–Poisson system with damping term ⋮ On global classical solutions of the Vlasov-Poisson system with radiation damping ⋮ A post-Newtonian expansion including radiation damping for a collisionless plasma ⋮ Global Solutions of the Vlasov--Poisson System with a Radiation Damping Term for General Initial Data

Cites Work

• Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data
• On classical solutions in the large in time of two-dimensional Vlasov's equation
• Radiative Friction for Charges Interacting with the Radiation Field: Classical Many-Particle Systems
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