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Numerical Analysis of the Isotropic Fokker–Planck–Landau Equation
Buet, Christophe ; Cordier, Stéphane
HAL, hal-00076919 / Harvested from HAL
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.
Publié le : 2002-07-05
Classification:  numerical schemes,  kinetic models,  Fokker–Planck–Landau equation,  system of ordinary differential equations,  Cauchy problem,  plasma physics,  numerical schemes.,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00076919,
     author = {Buet, Christophe and Cordier, St\'ephane},
     title = {Numerical Analysis of the Isotropic Fokker--Planck--Landau Equation},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00076919}
}
Buet, Christophe; Cordier, Stéphane. Numerical Analysis of the Isotropic Fokker–Planck–Landau Equation. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00076919/