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Archive for September, 2017

One of the beautiful results in kinetic theory is to construct the global classical solution to the 3D Vlasov-Poisson system. The result is now classical; see, for instance, chapter 4 of Glassey‘s book. However,¬†I feel the result is a bit non-trivial to convey to students and beginners. Would you agree? Anyway, this post is to try to present this classical result, aiming to be as¬†pedagogical as possible, with the original the good, the bad, and the ugly proof of J. Schaeffer ’91.

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