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- Title
Stability of the Equilibrium to the Vlasov-Poisson-Boltzmann System with Non-constant Background Charge.
- Authors
Yang, Xiuhui; Li, Xiujuan
- Abstract
We study the global existence of classical solution to the Vlasov-Poisson-Boltzmann system with non-constant background charge. In this case the local Maxwellian is the unique stationary state. We show that this equilibrium is nonlinear stable provided that the initial perturbation is sufficient small. Our result solves an open problem stated by Duan and Yang (SIAM J. Math. Anal. 41(6):2353-2387, 2009) in one dimensional case.
- Subjects
VLASOV equation; POISSON algebras; BOLTZMANN'S constant; EQUILIBRIUM; RELATIVISTIC electrodynamics; PERTURBATION theory
- Publication
Acta Applicandae Mathematicae, 2018, Vol 158, Issue 1, p107
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-018-0176-z