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

Autor:	Shu Wang, Fu Cai Li, Ling Hsiao
Rok vydání:	2006
Předmět:	Applied Mathematics General Mathematics Semi-implicit Euler method Mathematical analysis Poisson–Boltzmann equation Backward Euler method Euler equations Physics::Fluid Dynamics Euler method symbols.namesake Pressure-correction method Convergence (routing) Compressibility symbols Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 23:761-768
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-005-0774-3
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3eca10b9847562a02dfcf57a0bdcffc8 https://doi.org/10.1007/s10114-005-0774-3 Zobrazit plný text záznamu Full text from SpringerLink