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

Yongting Huang

doi:10.1016/j.jde.2015.10.015

Author(s)

Yongting Huang

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	2611-2689
Journal / Publication	Journal of Differential Equations
Volume	260
Issue number	3
Online published	27 Oct 2015
Publication status	Published - 5 Feb 2016

Link(s)

DOI	DOI https://doi.org/10.1016/j.jde.2015.10.015 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84949983774&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(7bba09c2-3d86-4f1e-a93e-10a32a80e636).html

Abstract

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

Citation Format(s)

[ RIS ] [ BibTeX ]

Spectrum structure and behavior of the Vlasov-Maxwell-Boltzmann system without angular cutoff. / Huang, Yongting.
In: Journal of Differential Equations, Vol. 260, No. 3, 05.02.2016, p. 2611-2689.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Huang, Y 2016, 'Spectrum structure and behavior of the Vlasov-Maxwell-Boltzmann system without angular cutoff', Journal of Differential Equations, vol. 260, no. 3, pp. 2611-2689. https://doi.org/10.1016/j.jde.2015.10.015

Huang, Y. (2016). Spectrum structure and behavior of the Vlasov-Maxwell-Boltzmann system without angular cutoff. Journal of Differential Equations, 260(3), 2611-2689. https://doi.org/10.1016/j.jde.2015.10.015

Huang Y. Spectrum structure and behavior of the Vlasov-Maxwell-Boltzmann system without angular cutoff. Journal of Differential Equations. 2016 Feb 5;260(3):2611-2689. Epub 2015 Oct 27. doi: 10.1016/j.jde.2015.10.015

Huang, Yongting. / Spectrum structure and behavior of the Vlasov-Maxwell-Boltzmann system without angular cutoff. In: Journal of Differential Equations. 2016 ; Vol. 260, No. 3. pp. 2611-2689.