In this paper we study qualitative properties of global minimizers of the Ginzburg-Landau energy which describes light-matter interaction in the theory of nematic liquid crystals near the Freedericksz transition. This model ...

This paper evaluates the effect that different imposed crystal symmetries have on the topology design of two-phase isotropic elastic composites ruled by the target of attaining extreme theoretical properties. Extreme ...

We extend the recent radial symmetry results by Pisante [J. Funct. Anal., 260 (2011), pp. 892-905] and Millot and Pisante [J. Eur. Math. Soc. (JEMS), 12 (2010), pp. 1069-1096] (who show that the equivariant solutions are ...

A numerical methodology developed for the microarchitecture design of 3D elastic two-phase periodic composites with effective isotropic properties close to the theoretical bounds is here presented and analyzed. This ...

In this paper we study qualitative properties of global minimizers of the Ginzburg-Landau energy which describes light-matter interaction in the theory of nematic liquid crystals near the Freedericksz transition. This model ...

The maximally localized magnetic and electric Wannier functions of a one-dimensional photonic crystal with inversion symmetry are investigated. The calculated Wannier functions are real and either symmetric or anti-symmetric ...