A note on the time decay of solutions for the linearized Wigner-Poisson system
Irene M. Gamba - Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, Texas 78712, United States (email)
Abstract: We consider the one-dimensional Wigner-Poisson system of plasma physics, linearized around a (spatially homogeneous) Lorentzian distribution and prove that the solution of the corresponding linearized problem decays to zero in time. We also give an explicit algebraic decay rate.
Keywords: Wigner transform, Poisson coupling, Landau damping, plasma
Received: November 2008; Revised: November 2008; Published: January 2009.
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