Spectrum Structure and Behaviors of the Vlasov--Maxwell--Boltzmann Systems

DOI10.1137/140996215zbMath1331.76107arXiv1410.3356OpenAlexW1555514889MaRDI QIDQ5744672

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

Publication date: 19 February 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3356

zbMATH Keywords

Lorentz forceoptimal convergence ratesVlasov-Maxwell-Boltzmann systemspectrum structure

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05)

Related Items (9)

From the Vlasov-Poisson-Boltzmann System to the Vlasov-Poisson-Landau System with Coulomb Potential ⋮ The same class of stationary solutions to some multidimensional kinetic systems with extensive background density ⋮ Global Solution for the Spatially Inhomogeneous Non-cutoff Kac Equation ⋮ Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system ⋮ Spectrum structure and decay rate estimates on the Landau equation with Coulomb potential ⋮ Green's function and pointwise behavior of the one-dimensional Vlasov-Maxwell-Boltzmann system ⋮ Spectrum structure and behavior of the Vlasov-Maxwell-Boltzmann system without angular cutoff ⋮ Global solutions to the Vlasov-Poisson-Boltzmann system with weak angular singularity ⋮ Stability of rarefaction wave for a macroscopic model derived from the Vlasov-Maxwell-Boltzmann system

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