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Oscillations in quasineutral plasmas. (English) Zbl 0849.35107
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:
35Q35 PDEs in connection with fluid mechanics
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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