Global solutions of the two-dimensional relativistic Vlasov-Poisson system

DOI10.1080/00411458708204297zbMath0633.76129OpenAlexW1968676067MaRDI QIDQ3771925

Mohammad A. Rammaha

Publication date: 1987

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458708204297

zbMATH Keywords

Cauchy problemexistence conditions of smooth in time solutionsrelativistic, two-dimensional Vlasov-Poisson system

Mathematics Subject Classification ID

Special relativity (83A05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Motion of charged particles (78A35) Initial value problems for PDEs with pseudodifferential operators (35S10)

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Dispersion estimates for the two-dimensional Vlasov-Yukawa system with small data ⋮ Local wellposedness of the relativistic Vlasov–Poisson equation in Besov space ⋮ Asymptotic growth and decay of two-dimensional symmetric plasmas ⋮ Control of velocities generated in a two—dimensional collisionless plasma with symmetry

Cites Work

• Global symmetric solutions of the initial value problem of stellar dynamics
• The spherically symmetric Vlasov-Poisson system
• Weak solutions of the initial value problem for the unmodified non‐linear vlasov equation
• An existence and uniqueness theorem for the Vlasov-Maxwell system
• Global-in-time solutions of the two-dimensional vlasov-poisson systems
• On the classical solutions of the initial value problem for the unmodified non‐linear Vlasov equation I general theory