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4. Ordinary and Partial Differential Equations, Controlled Differential Systems

Higher order coefficients in some different classes of microstructures

Loredana Bălilescu
University of Piteşti, Piteşti, Romania

Abstract:

In this talk, we use Bloch decomposition to introduce higher order macrocoefficients, namely the dispersion tensor or the Burnett coefficients in different classes of microstrucures: periodic types, perforated and non-perforated, and the generalized Hashin--Shtrikman non-periodic structures. We also study the dependence of the fourth-order tensor in terms of the microstructure.

  1. L. Bălilescu, T. Ghosh, J. San Martín, Higher order coefficients in periodically perforated domains, in preparation (2023)
  2. L. Bălilescu, C. Conca, T. Ghosh, J. San Martín, M. Vanninathan, Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures, Mathematical Models and Methods in Appl. Sci. (2022), 32 (3), pp. 497-532
  3. L. Bălilescu, C. Conca, T. Ghosh, J. San Martín, M. Vanninathan, The dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures, Archive for Rational Mechanics and Analysis (2018), 230 (2), pp. 665--700