Boundary Layers and Homogenization of Transport Processes
About:
This article is published in Publications of The Research Institute for Mathematical Sciences.The article was published on 1979-04-30 and is currently open access. It has received 303 citations till now. The article focuses on the topics: Homogenization (chemistry).read more
Citations
More filters
Journal ArticleDOI
Asymptotic Analysis of Periodic Structures
Journal ArticleDOI
The Theory of Stochastic Processes. By D. R. Cox and H. D. Miller. Pp. x, 398. 70s. (Methuen)
Journal ArticleDOI
Transport equations for elastic and other waves in random media
TL;DR: In this paper, the authors derived and analyzed transport equations for the energy density of waves of any kind in a random medium, taking account of nonuniformities of the background medium, scattering by random inhomogeneities, polarization effects, coupling of different types of waves, etc.
Journal ArticleDOI
Diffusion approximation and computation of the critical size
TL;DR: In this article, the authors studied the spectral properties of the transport equation and how the diffusion approximation is related to the computation of the critical size, and they showed that when the transport operator is almost conservative, the critical value of the parameter 17 is large and it is exactly for this range of value that the diffusion approximation is accurate.
Journal ArticleDOI
Inverse transport theory and applications
TL;DR: Inverse transport consists of reconstructing the optical properties of a domain from measurements performed at the domain's boundary as mentioned in this paper, which finds applications in medical imaging (optical tomography, optical molecular imaging) and in geophysical imaging (remote sensing in the Earth's atmosphere).
References
More filters
Book
Convergence of Probability Measures
TL;DR: Weak Convergence in Metric Spaces as discussed by the authors is one of the most common modes of convergence in metric spaces, and it can be seen as a form of weak convergence in metric space.
Journal ArticleDOI
Asymptotic Analysis of Periodic Structures
Book
Asymptotic analysis for periodic structures
TL;DR: In this article, the authors give a systematic introduction of multiple scale methods for partial differential equations, including their original use for rigorous mathematical analysis in elliptic, parabolic, and hyperbolic problems, and with the use of probabilistic methods when appropriate.