Optimal large-time decay of the relativistic Landau-Maxwell system

Shuangqian Liu; Huijiang Zhao

doi:10.1016/j.jde.2013.10.004

Optimal large-time decay of the relativistic Landau-Maxwell system

Shuangqian Liu^*
, Huijiang Zhao

^*Corresponding author for this work

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

17 Citations (Scopus)

Abstract

The Cauchy problem of the relativistic Landau-Maxwell system in R³ is investigated. For perturbative initial data with suitable regularity and integrability, we obtain the optimal large-time decay rates of the relativistic Landau-Maxwell system. For the proof, a new interactive instant energy functional is introduced to capture the macroscopic dissipation and the very weak electromagnetic dissipation of the linearized system. The iterative method is applied to handle the time-decay rates of the full instant energy functional because of the regularity-loss property of the electromagnetic field. © 2013 Elsevier Inc.

Original language	English
Pages (from-to)	832-857
Journal	Journal of Differential Equations
Volume	256
Issue number	2
Online published	23 Oct 2013
DOIs	https://doi.org/10.1016/j.jde.2013.10.004
Publication status	Published - 15 Jan 2014
Externally published	Yes

Bibliographical note

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].

Research Keywords

Optimal time-decay rates
Regularity-loss
Relativistic Landau-Maxwell system

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title = "Optimal large-time decay of the relativistic Landau-Maxwell system",

abstract = "The Cauchy problem of the relativistic Landau-Maxwell system in R3 is investigated. For perturbative initial data with suitable regularity and integrability, we obtain the optimal large-time decay rates of the relativistic Landau-Maxwell system. For the proof, a new interactive instant energy functional is introduced to capture the macroscopic dissipation and the very weak electromagnetic dissipation of the linearized system. The iterative method is applied to handle the time-decay rates of the full instant energy functional because of the regularity-loss property of the electromagnetic field. {\textcopyright} 2013 Elsevier Inc.",

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AU - Liu, Shuangqian

AU - Zhao, Huijiang

N1 - 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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N2 - The Cauchy problem of the relativistic Landau-Maxwell system in R3 is investigated. For perturbative initial data with suitable regularity and integrability, we obtain the optimal large-time decay rates of the relativistic Landau-Maxwell system. For the proof, a new interactive instant energy functional is introduced to capture the macroscopic dissipation and the very weak electromagnetic dissipation of the linearized system. The iterative method is applied to handle the time-decay rates of the full instant energy functional because of the regularity-loss property of the electromagnetic field. © 2013 Elsevier Inc.

AB - The Cauchy problem of the relativistic Landau-Maxwell system in R3 is investigated. For perturbative initial data with suitable regularity and integrability, we obtain the optimal large-time decay rates of the relativistic Landau-Maxwell system. For the proof, a new interactive instant energy functional is introduced to capture the macroscopic dissipation and the very weak electromagnetic dissipation of the linearized system. The iterative method is applied to handle the time-decay rates of the full instant energy functional because of the regularity-loss property of the electromagnetic field. © 2013 Elsevier Inc.

KW - Optimal time-decay rates

KW - Regularity-loss

KW - Relativistic Landau-Maxwell system

UR - https://www.scopus.com/pages/publications/84886931832

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U2 - 10.1016/j.jde.2013.10.004

DO - 10.1016/j.jde.2013.10.004

M3 - RGC 21 - Publication in refereed journal

SN - 0022-0396

VL - 256

SP - 832

EP - 857

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

Optimal large-time decay of the relativistic Landau-Maxwell system

Abstract

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Research Keywords

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Corrigendum to “Optimal large-time decay of the relativistic Landau–Maxwell system” [J. Differential Equations 256 (2) (2014) 832–857]

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