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\centerline{\large \bf Instability of Periodic BGK Waves}

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\centerline{Walter Strauss}
\centerline{\it Brown University, USA}
\centerline{e-mail {\tt wstrauss@math.brown.edu}}

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Consider any spatially dependent BGK wave
of period P of the Vlasov-Poisson system.
A remarkable result of Zhiwu Lin asserts
that it is {\it always} unstable,
at least under perturbations of period 2P.
I will discuss this theorem and its proof.


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