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Article Dans Une Revue Journal of Computational Physics Année : 2002

Numerical Analysis of the Isotropic Fokker–Planck–Landau Equation

Résumé

The homogeneous Fokker–Planck–Landau equation is investigated for Coulombic potential and isotropic distribution function, i.e., when the distribution function de- pends 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 exis- tence 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 long- time behavior of the solution.
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Dates et versions

hal-00076919 , version 1 (30-05-2006)

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Christophe Buet, Stéphane Cordier. Numerical Analysis of the Isotropic Fokker–Planck–Landau Equation. Journal of Computational Physics, 2002, 173, pp.43-67. ⟨10.1006/jcph.2002.7043⟩. ⟨hal-00076919⟩
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