On the Linearized Balescu-Lenard Equation

Details On the Linearized Balescu-Lenard Equation On the Linearized Balescu-Lenard Equation

2006-03-21

arxiv.org/abs/math/0603490v2

Communications in Partial Differential Equations, 32: 1551-1586, 2007

Mathematics

Analysis of PDEs

31 pages

Scientific paper

10.1080/03605300601088609

The Balescu-Lenard equation from plasma physics is widely considered to include a highly accurate correction to Landau's fundamental collision operator. Yet so far it has seen very little mathematical study. We perform an extensive linearized analysis of this equation, which includes determining the asymptotic behavior of the new components of the linearized operator and establishing time decay rates for the linearized equation.

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