, Volume 231, Issue 3, pp 391-434

The Landau Equation in a Periodic Box

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Abstract:

 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.

Received: 4 February 2002 / Accepted: 10 July 2002 Published online: 29 October 2002