Global weak solutions for the Vlasov-Poisson system with a point charge

DOI10.1002/mma.3316zbMath1335.35251OpenAlexW2108516986MaRDI QIDQ2795389

Jing Chen, Jinbo Wei, Xian-Wen Zhang

Publication date: 21 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3316

zbMATH Keywords

weak solutionglobal existencepoint chargeVlasov-Poisson systemattractive interaction

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Statistical mechanics of plasmas (82D10) Weak solutions to PDEs (35D30) Vlasov equations (35Q83)

Related Items (7)

On the 3-D Vlasov-Poisson system with point charges: global solutions with unbounded supports and propagation of velocity-spatial moments ⋮ Moment propagation of the plasma-charge model with a time-varying magnetic field ⋮ A Vlasov-Poisson plasma of infinite mass with a point charge ⋮ Time evolution of a plasma-charge system with infinite mass and velocities ⋮ Polynomial propagation of moments for a plasma-charge model with large data ⋮ Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge ⋮ Stability of a point charge for the Vlasov-Poisson system: the radial case

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