摘要:

We consider in this article a magnetized plasma composed of two species of particles of disparate masses. Starting with the kinetic equations for both species, a formal hydrodynamic model is derived, which consists of two coupled systems: the light particles obey diffusion equations, while the heavy ones satisfy standard Euler equations. We justify this formal limit in the context of plasmas: the collision operators are of Fokker-Planck type and the rigourous analysis is carried out for hard potentials.

ISSN:0041-1450    

DOI:10.1080/00411459808205811

出版商:Taylor & Francis Group    

年代:1998

数据来源: Taylor

摘要:

The one—speed neutron transport equation with strong forward and backward scattering (characterized by α and β) has been solved analytically for an infinite slab with a finite order Snmethod. It is shown that the solution changes smoothly as c(α + β) passes unity. For a fixed criticality factor,c, a finite thickness is obtained both for α + β = 1/cand = 1. When the number of directions goes to infinity, the critical slab thickness vanishes at c(α + β) = 1. The total flux is then asymptotically given by a cosine function going to zero at the boundary. This is in contrast to the integral equation, which gives a different flux distribution. The results are supported by numerical calculations using the S4, S16and S96approximations.

ISSN:0041-1450    

DOI:10.1080/00411459808205812

出版商:Taylor & Francis Group    

年代:1998

数据来源: Taylor

摘要:

We study the abstract version of an one-dimensional particle transport problem in a slab with general boundary conditions described by a linear positive operator A.

ISSN:0041-1450    

DOI:10.1080/00411459808205813

出版商:Taylor & Francis Group    

年代:1998

数据来源: Taylor

ISSN:0041-1450    

DOI:10.1080/00411459808205814

出版商:Taylor & Francis Group    

年代:1998

数据来源: Taylor

摘要:

By J.R. Mika and J. Banasiak, World Scientific, Singapore, 1995.

ISSN:0041-1450    

DOI:10.1080/00411459808205815

出版商:Taylor & Francis Group    

年代:1998

数据来源: Taylor