The Cauchy problem for the 3-D Vlasov-Poisson system with point charges

DOI10.1007/s00205-010-0388-5zbMath1321.76081arXiv1003.0643OpenAlexW3099855229MaRDI QIDQ715287

Evelyne Miot, Carlo Marchioro, Mario Pulvirenti

Publication date: 5 November 2012

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0643

zbMATH Keywords

uniquenessglobal existencerepulsive interaction

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Motion of charged particles (78A35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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Cites Work

• Global existence for the Vlasov-Poisson system in bounded domains
• On the plasma-charge model
• 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
• On classical solutions in the large in time of two-dimensional Vlasov's equation
• Global-in-time solutions to the three-dimensional Vlasov--Poisson system
• Singular solutions of the Vlasov-Maxwell system on a half line
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• On the asymptotic growth of the solutions of the vlasov-poisson system
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