Convergence of the Vlasov.Poisson.Boltzmann System to the Incompressible Euler Equations

Authors
Hsiao, Ling Li, Fu Cai Wang, Shu
Citation
Hsiao, Ling et al., Convergence of the Vlasov.Poisson.Boltzmann System to the Incompressible Euler Equations, Acta mathematica Sinica. English series (Print) , 23(4), 2007, pp. 761-768
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
4
Year of publication
2007
Pages
761 - 768
Database
ACNP
SICI code
Abstract
In this paper we establish the convergence of the Vlasov.Poisson.Boltzmann system to the incompressible Euler equations in the so.called quasi.neutral regime. The convergence is rigorously proved for time intervals on which the smooth solution of the Euler equations of the incompressible fluid exists. The proof relies on the relative.entropy method.