Concentrations in the one-dimensional Vlasov-Poisson equations. II: Screening and the necessity for measure-valued solutions in the two component case

DOI10.1016/0167-2789(94)90037-XzbMath0839.35104OpenAlexW2006789888MaRDI QIDQ1344756

Yuxi Zheng, George Majda, Andrew J. Majda

Publication date: 22 March 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90037-x

zbMATH Keywords

weak solutionmeasure-valued solutionslimiting behavior of computational regularizationssingular charge concentrationtwo-component Vlasov-Poisson equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items

Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case, Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density, Moment propagation of the plasma-charge model with a time-varying magnetic field, On the existence of global weak solutions to two-component vlasov-poisson and Vlasov-Fokker-Planck systems in one space dimension with L1-initial data, On the Attractive Plasma-Charge System in 2-d, Concentrations in the one-dimensional Vlasov-Poisson equations: Additional regularizations, Mean field limit for the one dimensional Vlasov-Poisson~equation

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