Optimal convergence rates of Landau equation with external forcing in the whole space
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
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Detail(s)
Original language | English |
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Pages (from-to) | 1035-1062 |
Journal / Publication | Acta Mathematica Scientia |
Volume | 29 |
Issue number | 4 |
Publication status | Published - Jul 2009 |
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Abstract
In this paper, we combine the method of constructing the compensating function introduced by Kawashima and the standard energy method for the study on the Landau equation with external forcing. Both the global existence of solutions near the time asymptotic states which are local Maxwellians and the optimal convergence rates are obtained. The method used here has its own advantage for this kind of studies because it does not involve the spectrum analysis of the corresponding linearized operator. © 2009 Wuhan Institute of Physics and Mathematics.
Research Area(s)
- 35B40, 35Q99, compensating function, energy method, Landau equation, optimal convergence rates
Citation Format(s)
Optimal convergence rates of Landau equation with external forcing in the whole space. / Tong, Yang; Hongjun, Yu.
In: Acta Mathematica Scientia, Vol. 29, No. 4, 07.2009, p. 1035-1062.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review