an:01294601
Zbl 0929.35112
Guo, Yan
Smooth irrotational flows in the large to the Euler-Poisson system in \(\mathbb{R}^{3+1}\)
EN
Commun. Math. Phys. 195, No. 2, 249-265 (1998).
00050016
1998
j
35Q35 76X05 35A05
plasma; irrotational flows; Euler-Poisson system; existence of a unique global solution
The paper deals with a simple two-fluid model describing the dynamics of a plasma by means of the Euler-Poisson system, where the compressible electron field interacts with its own electric field against a constant charged ion background. The existence of a unique global solution of the Euler-Poisson system is proved. Global smooth irrotational flows are constructed with small velocity of the electron fluid.
Georg V.Jaiani (Tbilisi)