Numerical Analysis of the Boltzmann Equation Including Fokker-Planck Terms

Multiplication Processes in High-Density H-11B Fusion Fuel

“…(i) at higher T i , by adopting more refined kinetic approaches to the problem (e.g., steady-state spectral conditions, via the so-called Boltzmann-Fokker-Planck equation [44]); (ii) in (partially) degenerate plasmas, a regime that is also of interest for bremsstrahlung reduction [17,45].…”

A class of linear kinetic equations in a Krein space setting

“…T h e B o l t z m a n n -F o k k e r -P l a n c k E q u a t i o n T h e B o l t z m a n n -F o k k e r -P l a n c k e q u a t i o n was f o r m u l a t e d b y Ligou to d e s c r i b e t h e t r a n s p o r t of c h a r g e d p a r t i c l e s in h o t plasmas. It was s u b s e q u e n t l y used in [21],…”

On a family of differential approximations of the radiative transfer equation

“…For highly forwardpeaked media, it is even more difficult to solve RTE since accurate numerical solutions require a high resolution of the direction variable. For this reason, various approximations of RTE have been proposed in the literature, e.g., the delta-Eddington approximation [13], the Fokker-Planck approximation [20,21], the Boltzmann-Fokker-Planck approximation [22,5], the generalized Fokker-Planck approximation [16], the Fokker-Planck-Eddington approximation and the generalized Fokker-Planck-Eddington approximation [10]. For RTE with high absorption and small geometries, the simplified spherical harmonics (S P N ) method ( [14]) is shown to produce good approximate solutions ( [9]).…”