Optimal convergence rate of the Landau equation with frictional force

Liu Shuangqian; Liu Hongxia

doi:10.1016/S0252-9602(12)60140-4

Optimal convergence rate of the Landau equation with frictional force

Liu Shuangqian, Liu Hongxia

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

5 Citations (Scopus)

Abstract

The Cauchy problem of the Landau equation with frictional force is investigated. Based on Fourier analysis and nonlinear energy estimates, the optimal convergence rate to the steady state is obtained under some conditions on initial data. © 2012 Wuhan Institute of Physics and Mathematics.

Original language	English
Pages (from-to)	1781-1804
Journal	Acta Mathematica Scientia
Volume	32
Issue number	5
DOIs	https://doi.org/10.1016/S0252-9602(12)60140-4
Publication status	Published - Sept 2012
Externally published	Yes

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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].

Research Keywords

Fourier analysis
Frictional force
Landau equation
Optimal convergence rate

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title = "Optimal convergence rate of the Landau equation with frictional force",

abstract = "The Cauchy problem of the Landau equation with frictional force is investigated. Based on Fourier analysis and nonlinear energy estimates, the optimal convergence rate to the steady state is obtained under some conditions on initial data. {\textcopyright} 2012 Wuhan Institute of Physics and Mathematics.",

keywords = "Fourier analysis, Frictional force, Landau equation, Optimal convergence rate",

author = "Liu Shuangqian and Liu Hongxia",

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T1 - Optimal convergence rate of the Landau equation with frictional force

AU - Shuangqian, Liu

AU - Hongxia, Liu

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].

PY - 2012/9

Y1 - 2012/9

N2 - The Cauchy problem of the Landau equation with frictional force is investigated. Based on Fourier analysis and nonlinear energy estimates, the optimal convergence rate to the steady state is obtained under some conditions on initial data. © 2012 Wuhan Institute of Physics and Mathematics.

AB - The Cauchy problem of the Landau equation with frictional force is investigated. Based on Fourier analysis and nonlinear energy estimates, the optimal convergence rate to the steady state is obtained under some conditions on initial data. © 2012 Wuhan Institute of Physics and Mathematics.

KW - Fourier analysis

KW - Frictional force

KW - Landau equation

KW - Optimal convergence rate

UR - http://www.scopus.com/inward/record.url?scp=84865495152&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84865495152&origin=recordpage

U2 - 10.1016/S0252-9602(12)60140-4

DO - 10.1016/S0252-9602(12)60140-4

M3 - RGC 21 - Publication in refereed journal

SN - 0252-9602

VL - 32

SP - 1781

EP - 1804

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 5

ER -

Optimal convergence rate of the Landau equation with frictional force

Abstract

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Research Keywords

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