Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
Original language | English |
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Pages (from-to) | 569-605 |
Journal / Publication | Communications in Mathematical Physics |
Volume | 268 |
Issue number | 3 |
Publication status | Published - Dec 2006 |
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Abstract
The time evolution of the distribution function for the charged particles in a dilute gas is governed by the Vlasov-Poisson-Boltzmann system when the force is self-induced and its potential function satisfies the Poisson equation. In this paper, we give a satisfactory global existence theory of classical solutions to this system when the initial data is a small perturbation of a global Maxwellian. Moreover, the convergence rate in time to the global Maxwellian is also obtained through the energy method. The proof is based on the theory of compressible Navier-Stokes equations with forcing and the decomposition of the solutions to the Boltzmann equation with respect to the local Maxwellian introduced in [23] and elaborated in [31]. © Springer-Verlag 2006.
Citation Format(s)
Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system. / Yang, Tong; Zhao, Huijiang.
In: Communications in Mathematical Physics, Vol. 268, No. 3, 12.2006, p. 569-605.
In: Communications in Mathematical Physics, Vol. 268, No. 3, 12.2006, p. 569-605.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review