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A note on the growth of velocities in a collisionless plasma
Authors:Christophe Pallard
Affiliation:Université Paris‐Sud 11, Laboratoire de Mathématiques, 91405 Orsay Cedex, France
Abstract:We consider the initial value problem for the classical Vlasov–Poisson system with smooth compactly supported initial data. In the electrostatic case, we show that the size of the velocity support of the distribution function grows at most like t2/7+bfε for any ε> 0 . Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:plasmas  Vlasov–  Poisson system  collisionless plasmas
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