Journal article
Smooth global solutions for the two-dimensional Euler Poisson system
Forum mathematicum, Vol.26(3), pp.645-701
05/01/2014
DOI: 10.1515/forum-2011-0153
Abstract
The Euler–Poisson system is a fundamental two-fluid model to describe the dynamics
of the plasma consisting of compressible electrons and a uniform ion background. By
using the dispersive Klein–Gordon effect, Guo (1998) first constructed a global
smooth irrotational solution in the three-dimensional case. It has been conjectured that
same results should hold in the two-dimensional case. The main difficulty in 2D comes from
the slow dispersion of the linear flow and certain nonlocal resonant obstructions in the nonlinearity. In this paper we develop a new method to overcome these difficulties and
construct smooth global solutions for the 2D Euler–Poisson system.
Details
- Title: Subtitle
- Smooth global solutions for the two-dimensional Euler Poisson system
- Creators
- Juhi Jang - University of California, RiversideDong Li - University of IowaXiaoyi Zhang - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Forum mathematicum, Vol.26(3), pp.645-701
- Publisher
- De Gruyter
- DOI
- 10.1515/forum-2011-0153
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- Number of pages
- 57
- Grant note
- Alfred P. Sloan fellowship DMS-0908007 / NSF 0908032 / NSF start-up funding / University of Iowa
- Language
- English
- Date published
- 05/01/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9984240874202771
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