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A note on the time decay of solutions for the linearized Wigner-Poisson system

dc.contributor.authorGamba, Irene
dc.contributor.authorGualdani, Maria
dc.contributor.authorSparber, Christof
dc.date.accessioned2016-02-25T12:31:25Z
dc.date.available2016-02-25T12:31:25Z
dc.date.issued2009-02-03
dc.identifier.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.
dc.identifier.issn1937-5093
dc.identifier.doi10.3934/krm.2009.2.181
dc.identifier.urihttp://hdl.handle.net/10754/597355
dc.description.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.
dc.description.sponsorshipThe 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.
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.titleA note on the time decay of solutions for the linearized Wigner-Poisson system
dc.typeArticle
dc.identifier.journalKinetic and Related Models
dc.contributor.institutionDepartment of Mathematics, The University of Texas at Austin, 1 University Station C1200, Texas 78712, United States
dc.contributor.institutionDepartment of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
dc.date.published-online2009-02-03
dc.date.published-print2009


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