Kinetic Description of Multiscale Phenomena
The Annual Kinetic FRG Meeting
May 23-26, 2011
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The Vlasov-Poisson-Landau system in a periodic box
Prof. Yan Guo
Brown University
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Abstract: The classical Vlasov-Poisson-Landau system describes dynamics of a collisional plasma interacting with its own electrostatic field as well as its grazing collisions. Such grazing collisions are modeled by the famous Landau (Fokker-Planck) collision kernel, proposed by Landau in 1936. We construct global unique solutions to such a system for initial data which have small weighted H2 norms, but can have large Hk(k 3) norms with high velocity moments. |
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