Concentrations in the one-dimensional Vlasov-Poisson equations: Additional regularizations

DOI10.1016/S0167-2789(98)00029-3zbMath0943.76093WikidataQ128037099 ScholiaQ128037099MaRDI QIDQ1808405

George Majda, Lori Carmack

Publication date: 6 December 1999

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

zbMATH Keywords

finite difference methodregularizationweak solutionsFokker-Planck equationscollisionless plasma of electronsnon-smooth electron sheet initial dataone-component Vlasov-Poisson equations

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (1)

Noise Prevents Collapse of Vlasov-Poisson Point Charges

Cites Work

• A vortex method for flows with slight density variations
• Desingularization of periodic vortex sheet roll-up
• Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case
• Concentrations in the one-dimensional Vlasov-Poisson equations. II: Screening and the necessity for measure-valued solutions in the two component case
• Particle Methods for the One-Dimensional Vlasov–Poisson Equations
• Convergence of a Difference Scheme for the Vlasov--Poisson--Fokker--Planck System in One Dimension

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