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

Handle URI:
http://hdl.handle.net/10754/597355
Title:
A note on the time decay of solutions for the linearized Wigner-Poisson system
Authors:
Gamba, Irene; Gualdani, Maria; Sparber, Christof
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.
Citation:
Gamba 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.
Publisher:
American Institute of Mathematical Sciences (AIMS)
Journal:
Kinetic and Related Models
Issue Date:
Jan-2009
DOI:
10.3934/krm.2009.2.181
Type:
Article
ISSN:
1937-5093
Sponsors:
The 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.
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Full metadata record

DC FieldValue Language
dc.contributor.authorGamba, Ireneen
dc.contributor.authorGualdani, Mariaen
dc.contributor.authorSparber, Christofen
dc.date.accessioned2016-02-25T12:31:25Zen
dc.date.available2016-02-25T12:31:25Zen
dc.date.issued2009-01en
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.en
dc.identifier.issn1937-5093en
dc.identifier.doi10.3934/krm.2009.2.181en
dc.identifier.urihttp://hdl.handle.net/10754/597355en
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.en
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.en
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en
dc.titleA note on the time decay of solutions for the linearized Wigner-Poisson systemen
dc.typeArticleen
dc.identifier.journalKinetic and Related Modelsen
dc.contributor.institutionDepartment of Mathematics, The University of Texas at Austin, 1 University Station C1200, Texas 78712, United Statesen
dc.contributor.institutionDepartment of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdomen
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