Strongly anisotropic diffusion problems; asymptotic analysis
Analysis of PDEs
2012-10-24 v1
Abstract
The subject matter of this paper concerns anisotropic diffusion equations: we consider heat equations whose diffusion matrix have disparate eigenvalues. We determine first and second order approximations, we study the well-posedness of them and establish convergence results. The analysis relies on averaging techniques, which have been used previously for studying transport equations whose advection fields have disparate components.
Cite
@article{arxiv.1210.6330,
title = {Strongly anisotropic diffusion problems; asymptotic analysis},
author = {Mihai Bostan},
journal= {arXiv preprint arXiv:1210.6330},
year = {2012}
}