## An appropriate "long-time" approximation for the quenched fluorescence intensity decay equation indicates that the usually ignored pre-exponential term is physically significant. Experimental and simulated quenched fluorescence decay data are used to validate the practical usefulness of the "lo
A relaxation approximation for transport equations in the diffusive limit
β Scribed by P. Degond; A. Klar
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 268 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
stable relaxation approximation for a transport equation with the diffusive scaling is developed. The relaxation approximation leads in the small mean free path limit to the higher-order diffusion equation obtained from the asymptotic analysis of the transport equation.
π SIMILAR VOLUMES
## Abstract In this paper we present the asymptotic analysis of the linear Boltzmann equation for neutrons with a small positive parameter Ο΅ related to the mean free path, based upon the ChapmanβEnskog procedure of the kinetic theory. We prove that if proper initial conditions derived by considerin
## Abstract In the present work, we consider the numerical approximation of pressureless gas dynamics in one and two spatial dimensions. Two particular phenomena are of special interest for us, namely Ξ΄βshocks and vacuum states. A relaxation scheme is developed which reliably captures these phenome
classical mechanical system coupled to a heat reservoir through frictional forces is established. The explicit expressions for the diffusion coefficient and the drift velocity which were formulated in preceding articles are evaluated here by an expansion in inverse powers of the frictional constant