Existence, uniqueness and asymptotic behavior for the Vlasov-Poisson system with radiation damping

DOI10.1007/s10114-016-6310-9zbMath1364.35367OpenAlexW2563468880MaRDI QIDQ2627878

Jing Chen, Ran Gao, Xian-Wen Zhang

Publication date: 1 June 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-6310-9

zbMATH Keywords

weak solutionuniquenessVlasov-Poisson systemradiation dampingvelocity averages

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)

Asymptotic growth bounds for the Vlasov-Poisson system with radiation damping ⋮ Moment propagation of the Vlasov-Poisson system with a radiation term ⋮ Estimate of largest velocities for Vlasov–Poisson plasma with radiation damping ⋮ Optimal decay estimates for the Vlasov-Poisson system with radiation damping ⋮ On global solutions to the Vlasov-Poisson system with radiation damping ⋮ 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

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