Spectrum analysis for the Vlasov-Poisson-Boltzmann system

DOI10.1007/s00205-021-01652-5zbMath1472.35386arXiv1402.3633OpenAlexW3165531660MaRDI QIDQ2036628

Tong Yang, Hai-liang Li, Ming-ying Zhong

Publication date: 30 June 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3633

zbMATH Keywords

Vlasov-Poisson-Boltzmann systemspectrum structure

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Interacting particle systems in time-dependent statistical mechanics (82C22) Spectral theory and eigenvalue problems for partial differential equations (35P99) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83) Boltzmann equations (35Q20)

Related Items (10)

Diffusion limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system ⋮ Diffusion limit of the Vlasov-Poisson-Boltzmann system ⋮ The diffusive limit of the bipolar Vlasov-Poisson-Boltzmann equations ⋮ Landau damping for the linearized Vlasov Poisson equation in a weakly collisional regime ⋮ The Vlasov-Poisson-Boltzmann system for a disparate mass binary mixture ⋮ Green's function and pointwise behaviors of the one-dimensional modified Vlasov-Poisson-Boltzmann system ⋮ Stability of planar rarefaction wave to the 3D bipolar Vlasov–Poisson–Boltzmann system ⋮ Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system ⋮ Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System ⋮ Green's function and pointwise space-time behaviors of the Vlasov-Poisson-Boltzmann system

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