Strongly anisotropic diffusion problems; asymptotic analysis

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:256

Article

Bostan, Mihai

关键词: Anisotropic diffusion;    Variational methods;    Multiple scales;    Average operator;   

DOI  :  10.1016/j.jde.2013.10.008

来源: Elsevier

【 摘 要 】

The subject matter of this paper concerns anisotropic diffusion equations: we consider heat equations whose diffusion matrices 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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free