In this paper, we investigate the steady simplified Ericksen-Leslie system. For three dimension, we obtain Liouville theorems if u and ∇d satisfy the Galdi's[1] condition, or some decay conditions. Note that the simplified Ericksen-Leslie system becomes Navier-Stokes equations when d is constant vector.

No abstract

This article is devoted to the study of the so-called incompressible limit for solutions of the compressible liquid crystals system. We consider the problem in the whole space R N and a bounded domain of R N with Dirichlet boundary conditions. Here the number of dimension N = 2 or 3.

A small-size 2 × 2 broadband circularly polarized microstrip antenna array is proposed in this article. The array has four broadband dual-feed U-slot patch antenna elements with circular polarization, and the sequential feeding technique is used to further enhance the 3 dB axial ratio bandwidth. The lateral size of the fabricated array is as small as 1 33λ 0 × 1 33λ 0 , and the profile is only 0 04λ 0 . Measured results show that the overlapped −10 dB reflection coefficient and the 3 dB AR bandwidth is 53%, and the variation of the measured realized gain is less than 1 dB for S-band satellite communications (1.98-2.2 GHz).

No abstract