English

Some open problems in the theory of composites

Analysis of PDEs 2021-06-09 v1

Abstract

A selection of open problems in the theory of composites is presented. Particular attention is drawn to the question of whether two-dimensional, two-phase, composites with general geometries have the same set of possible effective tensors as those of hierarchical laminates. Other questions involve the conductivity and elasticity of composites. Finally, some future directions for wave and other equations are mentioned.

Keywords

Cite

@article{arxiv.2008.03394,
  title  = {Some open problems in the theory of composites},
  author = {Graeme W. Milton},
  journal= {arXiv preprint arXiv:2008.03394},
  year   = {2021}
}

Comments

28 pages, no figures

R2 v1 2026-06-23T17:42:59.877Z