Abstract
The motion of collisional plasmas can be governed either by the Euler-Maxwell system with damping at the fluid level or by the Vlasov-Maxwell-Boltzmann system at the kinetic level. In the note, we present some recent results in [8] and [7] for the study of the non-trivial large-time behavior of solutions to the Cauchy problem on the related models in perturbation framework.
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Duan, R. Large-time behavior for fluid and kinetic plasmas with collisions. Bull Braz Math Soc, New Series 47, 307–321 (2016). https://doi.org/10.1007/s00574-016-0140-3
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DOI: https://doi.org/10.1007/s00574-016-0140-3
Keywords
- collisional plasmas
- damped Euler-Maxwell system
- Vlasov-Poisson-Boltzmann system
- time-asymptotic stability