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

Irene Gamba; Maria Gualdani; Christof Sparber

doi:10.3934/krm.2009.2.181

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

Irene Gamba, Maria Gualdani, Christof Sparber

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	181-189
Number of pages	9
Journal	Kinetic and Related Models
Volume	2
Issue number	1
DOIs	https://doi.org/10.3934/krm.2009.2.181
State	Published - Feb 3 2009
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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title = "A note on the time decay of solutions for the linearized Wigner-Poisson system",

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.",

author = "Irene Gamba and Maria Gualdani and Christof Sparber",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2009",

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doi = "10.3934/krm.2009.2.181",

language = "English (US)",

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AU - Gamba, Irene

AU - Gualdani, Maria

AU - Sparber, Christof

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 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. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2009/2/3

Y1 - 2009/2/3

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/597355

UR - http://aimsciences.org//article/doi/10.3934/krm.2009.2.181

U2 - 10.3934/krm.2009.2.181

DO - 10.3934/krm.2009.2.181

M3 - Article

SN - 1937-5093

VL - 2

SP - 181

EP - 189

JO - Kinetic and Related Models

JF - Kinetic and Related Models

IS - 1

ER -

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

Abstract

Bibliographical note

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