Global solutions and relaxation limits of Euler-Poisson equations

Authors
Citation
Dh. Wang, Global solutions and relaxation limits of Euler-Poisson equations, Z ANG MATH, 52(4), 2001, pp. 620-630
Citations number
19
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
0044-2275 → ACNP
Volume
52
Issue
4
Year of publication
2001
Pages
620 - 630
Database
ISI
SICI code
0044-2275(200107)52:4<620:GSARLO>2.0.ZU;2-5
Abstract
The relaxation properties of the Euler-Poisson flow with spherical symmetry are studied. For smooth and small initial data, the existence of global sm ooth solutions is proved. This indicates that the frictional dissipation fr om the relaxation term can prevent the formation of singularities in small smooth solutions of the Euler-Poisson flow with spherical symmetry. The zer o relaxation limit of the general large weak entropy solutions is establish ed. The scaled solutions are shown to converge to the solution of a general ized drift-diffusion equation as the relaxation tends to zero. Equivalent f orms of the system are used in the proofs.