The Vlasov-Poisson-Fokker-Planck system in the low regularity space

DOI10.1016/j.chaos.2022.112726OpenAlexW4300818525MaRDI QIDQ2680100

Yingzhe Fan, Lihua Tan

Publication date: 26 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112726

zbMATH Keywords

Cauchy problemglobal existenceVlasov-Poisson-Fokker-Planck systemexponential time decaysmall-amplitude initial data

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)

Cites Work

• Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system
• Global existence and long-time behavior of solutions to the Vlasov-Poisson-Fokker-Planck system
• Stability of the front under a Vlasov-Fokker-Planck dynamics
• Time-periodic solutions of the Vlasov-Poisson-Fokker-Planck system
• On the existence of global weak solutions for Vlasov-Poisson-Fokker- Planck systems
• Generic global classical solutions of the Vlasov-Fokker-Planck-Poisson system in three dimensions
• Dispersion relations for the linearized Fokker-Planck equation
• Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions
• Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system
• On the Vlasov-Poisson-Fokker-Planck equation near Maxwellian
• Cauchy problem on the Vlasov-Fokker-Planck equation coupled with the compressible Euler equations through the friction force
• THE VLASOV–POISSON–BOLTZMANN SYSTEM FOR SOFT POTENTIALS
• The Vlasov-Poisson-Landau system in a periodic box
• Long-time behaviour for solutions of the Vlasov-Poisson-Fokker-Planck equation
• The Vlasov‐Poisson‐Boltzmann system near Maxwellians
• The Boltzmann equation in the whole space
• On the initial value problem for the Vlasov‐Poisson‐Fokker‐Planck system with initial data in L^p spaces
• Global Mild Solutions of the Landau and <scp>Non‐Cutoff</scp> Boltzmann Equations
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