Dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures
Analysis of PDEs
2016-08-29 v1
Abstract
In this paper, we introduce the macroscopic quantity, namely the dispersion tensor or the \textit{Burnett coefficient}s in the class of generalized Hashin-Shtrikman micro-structures \cite[page no. 281]{T}. In the case of two-phase materials associated with the periodic Hashin-Shtrikman structures, we settle the issue that the dispersion tensor has an unique minimizer, which is so called Apollonian-Hashin-Shtrikman micro-structure.
Cite
@article{arxiv.1608.07545,
title = {Dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures},
author = {Loredana Bălilescu and Carlos Conca and Tuhin Ghosh and Jorge San Martín and Muthusamy Vanninathan},
journal= {arXiv preprint arXiv:1608.07545},
year = {2016}
}