Stability of the Vlasov-Poisson-Boltzmann system in R3

Mei Zhang

doi:10.1016/j.jde.2009.06.020

Stability of the Vlasov-Poisson-Boltzmann system in R³

Mei Zhang

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

10 Citations (Scopus)

Abstract

We construct global-in-time classical solutions to the Cauchy problem for the 2-species Vlasov-Poisson-Boltzmann system near Maxwellian in the whole space R³. Moreover, the convergence rate in time to the global Maxwellian, and the uniform-in-time stability of solutions are also obtained through energy method. © 2009 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	2027-2073
Journal	Journal of Differential Equations
Volume	247
Issue number	7
DOIs	https://doi.org/10.1016/j.jde.2009.06.020
Publication status	Published - 1 Oct 2009

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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abstract = "We construct global-in-time classical solutions to the Cauchy problem for the 2-species Vlasov-Poisson-Boltzmann system near Maxwellian in the whole space R3. Moreover, the convergence rate in time to the global Maxwellian, and the uniform-in-time stability of solutions are also obtained through energy method. {\textcopyright} 2009 Elsevier Inc. All rights reserved.",

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N2 - We construct global-in-time classical solutions to the Cauchy problem for the 2-species Vlasov-Poisson-Boltzmann system near Maxwellian in the whole space R3. Moreover, the convergence rate in time to the global Maxwellian, and the uniform-in-time stability of solutions are also obtained through energy method. © 2009 Elsevier Inc. All rights reserved.

AB - We construct global-in-time classical solutions to the Cauchy problem for the 2-species Vlasov-Poisson-Boltzmann system near Maxwellian in the whole space R3. Moreover, the convergence rate in time to the global Maxwellian, and the uniform-in-time stability of solutions are also obtained through energy method. © 2009 Elsevier Inc. All rights reserved.

UR - https://www.scopus.com/pages/publications/68249092198

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U2 - 10.1016/j.jde.2009.06.020

DO - 10.1016/j.jde.2009.06.020

M3 - RGC 21 - Publication in refereed journal

SN - 0022-0396

VL - 247

SP - 2027

EP - 2073

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 7

ER -