Numerical analysis of the isotropic Fokker-Planck-Landau equation
نویسندگان
چکیده
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 semi-discretized 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 insurses the physically relevant long time behavior of the solution.
منابع مشابه
Conservative and entropy numerical scheme for the isotropic Fokker-Planck-Landau equation
Homogeneous Fokker-Planck-Landau equation is investigated for coulombian 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 new conservative and entropy decaying semi-discretized Landau equation for which we prove the existence of global in time positive solutions. For the time-discretized equati...
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