Spectrum structure and behavior of the Vlasov-Maxwell-Boltzmann system without angular cutoff

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)2611-2689
Journal / PublicationJournal of Differential Equations
Issue number3
Online published27 Oct 2015
Publication statusPublished - 5 Feb 2016


The spectrum structure and behavior of the Vlasov-Maxwell-Boltzmann (VMB) system with physical angular non-cutoff intermolecular collisions are studied in this paper. The analysis shows the effect of the Lorentz force induced by the electro-magnetic field leads to some different spectrum structure from the non-cutoff Boltzmann equation. The spectrum structure in high frequency, quite different from the VMB system with angular cutoff assumption, also illustrates the hyperbolic structure of the Maxwell equation. Furthermore, the large time behavior and optimal convergence rates to the equilibrium of the non-cutoff VMB system are established on the spectrum analysis.

Research Area(s)

  • Vlasov-Maxwell-Boltzmann system, Without angular cutoff, Spectrum structure, Optimal convergence rates, POWER INTERMOLECULAR POTENTIALS, WHOLE SPACE, COLLISION OPERATOR, GLOBAL EXISTENCE, EQUATION