On classical solutions of the two-species Vlasov–Poisson system in R3 with infinite charge

DOI10.1063/5.0015340zbMath1456.76160OpenAlexW3095058337MaRDI QIDQ5141114

Hang Xiong, Xian-Wen Zhang

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0015340

zbMATH Keywords

uniquenesslocal existenceradial symmetrycontinuation criterium

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83)

Cites Work

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• Global existence to the Vlasov-Poisson system and propagation of moments without assumption of finite kinetic energy
• Global existence for the Vlasov-Poisson system with steady spatial asymptotic behavior
• The two dimensional Vlasov-Poisson system with steady spatial asymptotics
• Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data
• 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
• Global symmetric solutions of the initial value problem of stellar dynamics
• On classical solutions in the large in time of two-dimensional Vlasov's equation
• Global existence of classical solutions to the Vlasov-Poisson system in a three-dimensional, cosmological setting
• Time evolution of a Vlasov-Poisson plasma with different species and infinite mass in \(\mathbb{R}^3\)
• The Vlasov-Poisson system with infinite kinetic energy and initial data in \(L^p(\mathbb R^6)\)
• The Vlasov-Poisson system with low steady spatial asymptotics
• Global Existence and Increased Spatial Decay for the Radial Vlasov‐Poisson System with Steady Spatial Asymptotics
• 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
• On the classical solutions of the initial value problem for the unmodified non‐linear vlasov equation II special cases
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• ON THE TWO-DIMENSIONAL VLASOV-HELMHOLTZ EQUATION WITH INFINITE MASS
• The Vlasov Poisson System with Steady Spatial Asymptotics
• Steady spatial asymptotics for the Vlasov-Poisson system
• Time decy, propagarion of low moments and dispersive
• Time Evolution of a Vlasov-Poisson Plasma with Infinite Charge in ℝ³
• Global Existence for the Vlasov-Poisson System with Steady Spatial Asymptotics
• Local existence for the one‐dimensional Vlasov–Poisson system with infinite mass
• The Vlasov–Poisson equation in ℝ3 with infinite charge and velocities
• Explicit solutions of the one‐dimensional Vlasov–Poisson system with infinite mass
• The Vlasov-Poisson system with infinite mass and energy.
• The Vlasov equation with infinite mass

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