On space‐time estimates for the Vlasov‐Poisson system

On space‐time estimates for the Vlasov‐Poisson system

The motion of a collisionless plasma is described by the Vlasov‐Poisson system. A space‐time identity for one‐dimensional plasmas with two species of charge is here generalized to higher dimensions with spherical symmetry. Some estimates on large time behavior are obtained.

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Veröffentlicht in:Mathematical methods in the applied sciences 2020-05, Vol.43 (7), p.4075-4085, Article mma.6174
1. Verfasser: Schaeffer, Jack
Format: Artikel
Sprache:eng
Schlagworte:
Collisionless plasmas
kinetic theory
partial differential equations
Vlasov equation
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Beschreibung
Zusammenfassung:The motion of a collisionless plasma is described by the Vlasov‐Poisson system. A space‐time identity for one‐dimensional plasmas with two species of charge is here generalized to higher dimensions with spherical symmetry. Some estimates on large time behavior are obtained.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6174