On the Linearized Balescu-Lenard Equation

Abstract

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.

31 pages

Cited by in corpus (3)

• Lenard-Balescu correction to mean-field theory
• The two-particle correlation function for systems with long-range interactions
• Well-posedness of the Lenard-Balescu equation with smooth interactions