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Numerical Analysis of the Isotropic Fokker–Planck–Landau Equation

✍ Scribed by C. Buet; S. Cordier

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
210 KB
Volume
179
Category
Article
ISSN
0021-9991

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✦ Synopsis

The homogeneous Fokker-Planck-Landau equation is investigated for Coulombic potential and isotropic distribution function, i.e., when the distribution function depends only on time and on the modulus of the velocity. We derive a conservative and entropy decaying semidiscretized Landau equation for which we prove the existence of global in-time positive solutions. This scheme is not based on the so-called "Landau-Log" formulation of the operator and ensures the physically relevant longtime behavior of the solution.

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