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.
| Original language | English |
|---|---|
| Pages (from-to) | 2611-2689 |
| Journal | Journal of Differential Equations |
| Volume | 260 |
| Issue number | 3 |
| Online published | 27 Oct 2015 |
| DOIs | |
| Publication status | Published - 5 Feb 2016 |
Research Keywords
- Vlasov-Maxwell-Boltzmann system
- Without angular cutoff
- Spectrum structure
- Optimal convergence rates
- POWER INTERMOLECULAR POTENTIALS
- WHOLE SPACE
- COLLISION OPERATOR
- GLOBAL EXISTENCE
- EQUATION
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