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Quasineutral limit of an Euler-Poisson system arising from plasma physics. (English) Zbl 0978.82086
Summary: We study the quasineutral limit of an Euler-Poisson system arising from plasma physics i.e. the limit when the Debye length tends to 0 of a nonlinear hyperbolic system coupled with a nonlinear elliptic equation. The proof uses pseudodifferential energy estimates techniques, in order to jutify classical limits in small time, for strong solutions.

82D10 Statistical mechanical studies of plasmas
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
35Q35 PDEs in connection with fluid mechanics
Full Text: DOI
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