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Zbl 0849.35107
Grenier, Emmanuel
Oscillations in quasineutral plasmas.
(English)
[J] Commun. Partial Differ. Equations 21, No.3-4, 363-394 (1996). ISSN 0360-5302; ISSN 1532-4133/e

Summary: The purpose of this article is to describe the limit, as the vacuum electric permittivity goes to zero, of a plasma physics system, deduced from the Vlasov-Poisson system for special initial data (distribution functions which are analytic in the space variable, with compact support in velocity), a limit also called ``quasineutral regime'' of the plasma, and the related oscillations of the electric field, with high frequency in time.
MSC 2000:
*35Q35 Other equations arising in fluid mechanics
76X05 Plasmic flows

Keywords: quasineutral regime of the plasma; plasma physics; Vlasov-Poisson system

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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