Large velocities in a collisionless plasma

DOI10.1016/j.jde.2011.09.020zbMath1233.35193OpenAlexW2063283178MaRDI QIDQ656191

Christophe Pallard

Publication date: 16 January 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.020

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Vlasov equations (35Q83)

Related Items (17)

Global existence to the Vlasov-Poisson system and propagation of moments without assumption of finite kinetic energy ⋮ Asymptotic Growth of Support and Uniform Decay of Moments for the Vlasov--Poisson System ⋮ The Vlasov-Poisson system with low steady spatial asymptotics ⋮ Asymptotic growth bounds for the Vlasov-Poisson system with radiation damping ⋮ On the 3-D Vlasov-Poisson system with point charges: global solutions with unbounded supports and propagation of velocity-spatial moments ⋮ Growth estimates and uniform decay for the Vlasov-Poisson system ⋮ Local wellposedness of the relativistic Vlasov–Poisson equation in Besov space ⋮ Moment propagation of the Vlasov-Poisson system with a radiation term ⋮ Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density ⋮ Estimate of largest velocities for Vlasov–Poisson plasma with radiation damping ⋮ On global solutions to the Vlasov-Poisson system with radiation damping ⋮ Time evolution of a plasma-charge system with infinite mass and velocities ⋮ Classical solutions for the Vlasov–Poisson system with damping term ⋮ Asymptotic growth bounds for the Vlasov-Poisson system with a point charge ⋮ The two dimensional Vlasov-Poisson system with steady spatial asymptotics ⋮ Quasineutral limit for Vlasov-Poisson via Wasserstein stability estimates in higher dimension ⋮ On global classical solutions of the Vlasov-Poisson system with radiation damping

Cites Work

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• Global-in-time solutions to the three-dimensional Vlasov--Poisson system
• Bounds on the growth of the velocity support for the solutions of the Vlasov-Poisson equation in a torus
• A note on the growth of velocities in a collisionless plasma
• Asymptotic growth bounds for the Vlasov-Poisson system
• 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
• Growth Estimates for the Solutions of the Vlasov-Poisson System in the Plasma Physics Case

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