Smoothing Effects for the Classical Solutions to the Landau-Fermi-Dirac Equation

The smoothness of the solutions to the full Landau equation for Fermi-Dirac particles is investigated. It is shown that the classical solutions near equilibrium to the Landau-Fermi-Dirac equation have a regularizing effects in all variables （time, space and velocity）, that is, they become immediatel...

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Veröffentlicht in:	Chinese annals of mathematics. Serie B 2012-11, Vol.33 (6), p.857-876
1. Verfasser:	Liu, Shuangqian
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Landau Mathematics Mathematics and Statistics 平滑度朗道狄拉克方程狄拉克粒子经典解费米近平衡态
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Beschreibung
Zusammenfassung:	The smoothness of the solutions to the full Landau equation for Fermi-Dirac particles is investigated. It is shown that the classical solutions near equilibrium to the Landau-Fermi-Dirac equation have a regularizing effects in all variables （time, space and velocity）, that is, they become immediately smooth with respect to all variables.
ISSN:	0252-9599 1860-6261
DOI:	10.1007/s11401-012-0747-7