Loredana Bălilescu, Carlos Conca, Tuhin Ghosh, Jorge San Martín, Muthusamy Vanninathan
Published 2016-08-26Version 1
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.
Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures
The $\ell_1$ double-bubble problem in three dimensions
An inverse problem in quantum statistical physics
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