Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 665-725 |
| Journal / Publication | Indiana University Mathematics Journal |
| Volume | 65 |
| Issue number | 2 |
| Publication status | Published - 2016 |
Link(s)
Abstract
In this paper, we consider the initial value problem for the bipolar Vlasov-Poisson-Boltzmann (bVPB) system and its related modified Vlasov-Poisson-Boltzmann (mVPB) system. We give the spectrum analysis on the linearized bVPB and mVPB systems around an equilibrium state, and show the optimal convergence rate of solutions to the equilibrium. By this, we show that the electric field decays exponentially, that the distribution function tends to the absolute Maxwellian at the optimal convergence rate (1 + t)(-3/4) for the bVPB system, and that both the electric field and the distribution function converge to the equilibrium state at the optimal rate (1+t)(-3/4) for the mVPB system.
Research Area(s)
- Bipolar Vlasov-Poisson-Boltzmann system, modified Vlasov-Poisson-Boltzmann, spectrum analysis, optimal time decay rates, EXTERNAL FORCE, CONVERGENCE RATE, SYSTEM, VACUUM
Citation Format(s)
Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations. / Li, Hai-Liang; Yang, Tong; ZHONG, Mingying.
In: Indiana University Mathematics Journal, Vol. 65, No. 2, 2016, p. 665-725.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
