OPTIMAL CONVERGENCE RATE OF THE LANDAU EQUATION WITH FRICTIONAL FORCE

OPTIMAL CONVERGENCE RATE OF THE LANDAU EQUATION WITH FRICTIONAL FORCE

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.

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Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2012-09, Vol.32 (5), p.1781-1804
Hauptverfasser: Shuangqian, Liu, Hongxia, Liu
Format: Artikel
Sprache:eng
Schlagworte:
35B35
35Q99
Cauchy problem
Cauchy问题
Convergence
Direct power generation
Estimates
Fourier analysis
frictional force
Landau
Landau equation
Mathematical analysis
optimal convergence rate
Optimization
Steady state
作者
傅立叶分析
摩擦力
方程
最优收敛速度
稳定状态
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Beschreibung
Zusammenfassung: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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(12)60140-4