A note on the time decay of solutions for the linearized Wigner-Poisson system
Online Publication Date2009-02-03
Print Publication Date2009
Permanent link to this recordhttp://hdl.handle.net/10754/597355
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AbstractWe 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.
CitationGamba I, Gualdani M, Sparber C (2009) A note on the time decay of solutions for the linearized Wigner-Poisson system. KRM 2: 181–189. Available: http://dx.doi.org/10.3934/krm.2009.2.181.
SponsorsThe first author partially supported by NSF grants DMS-0757450 and DMS-0807712, the sec-ond author is supported by the NSF grant DMS-0807636, and the third author has been supportedby the KAUST Investigator Award of P. Markowich. Support from the Institute for ComputationalEngineering and Sciences at the University of Texas at Austin is also gratefully acknowledged.
JournalKinetic and Related Models