The Landau Equation in a Periodic Box
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- Guo, Y. Commun. Math. Phys. (2002) 231: 391. doi:10.1007/s00220-002-0729-9
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The Landau equation, which was proposed by Landau in 1936, is a fundamental equation to describe collisions among charged particles interacting with their Coulombic force. In this article, global in time classical solutions near Maxwellians are constructed for the Landau equation in a periodic box. Our result also covers a class of generalized Landau equations, which describes grazing collisions in a dilute gas.