Sharp asymptotics for the solutions of the three-dimensional massless Vlasov-Maxwell system with small data
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Publication:2223549
DOI10.1007/s00023-020-00978-2zbMath1456.35191arXiv1812.09716OpenAlexW3109884573MaRDI QIDQ2223549
Publication date: 29 January 2021
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.09716
Asymptotic behavior of solutions to PDEs (35B40) Special relativity (83A05) Statistical mechanics of plasmas (82D10) Electromagnetic theory (general) (78A25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Maxwell equations (35Q61)
Related Items (6)
Stability of vacuum for the Boltzmann equation with moderately soft potentials ⋮ Sharp decay estimates for the Vlasov-Poisson and Vlasov-Yukawa systems with small data ⋮ Sharp asymptotic behavior of solutions of the \(3d\) Vlasov-Maxwell system with small data ⋮ Stable cosmologies with collisionless charged matter ⋮ The stability of the Minkowski space for the Einstein-Vlasov system ⋮ Asymptotic stability of Minkowski space-time with non-compactly supported massless Vlasov matter
Cites Work
- Absence of shocks in an initially dilute collisionless plasma
- Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data
- Small data solutions of the Vlasov-Poisson system and the vector field method
- Sharp asymptotic behavior of solutions of the \(3d\) Vlasov-Maxwell system with small data
- Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge
- A vector field method for relativistic transport equations with applications
- Asymptotic properties of linear field equations in minkowski space
- A small data theorem for collisionless plasma that includes high velocity particles
- Asymptotic Properties of the Solutions to the Vlasov–Maxwell System in the Exterior of a Light Cone
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