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Conservative and Entropy Decaying Numerical Scheme for the Isotropic Fokker–Planck–Landau Equation

✍ Scribed by C. Buet; S. Cordier

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
266 KB
Volume
145
Category
Article
ISSN
0021-9991

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✦ Synopsis

Homogeneous Fokker-Planck-Landau equation denoted by FPLE is studied for Coulombian and isotropic distribution function, i.e. when the distribution function depends only on time and on the modulus of the velocity. We derive a new conservative and entropy decaying semi-discretized FPLE for which we prove the existence of global in time, positive. For the time-discretized equation, we give upper bound for the time step which guarantes positivity and entropy decay of the numerical solution.

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