中文摘要：

文中报道了笔者建议的软物质准晶广义流体动力学的一个应用——软物质准晶圆柱绕流的近似解.人们熟知,在普通流体动力学中,二维圆柱绕流问题遇到很大的困难,Stokes求解它,未能成功,这就是著名Stokes佯谬.为了克服这一困难,Oseen分析了原因不在边界条件的提法,也不在Stokes的求解,问题出在Navier-Stokes方程,他对方程进行了修改,得到了二维绕流问题的有物理意义的近似分析解.本文借助于Oseen的方法讨论12次对称软物质准晶广义流体动力学二维绕流问题.由于问题比普通流体动力学复杂得多,严格的求解,在目前的条件下是根本不可能的.笔者提出一种近似方法——交替程序去构造其零级近似解,并且把该结果用于软物质准晶的位错问题.

英文摘要：

An application of the generalized hydrodynamics for soft-matter quasicrystals with 12-fold symmetry--flow past a cylinder, was demonstrated by means of an alternating proce- dure, and a zeroth-order approximate analytic solution was obtained, in which the classical Oseen solution was used. The flow velocity field and the phonon stress field were approximately determined, and the possible solution of the phason stress field was also discussed. At last a possible modification to dislocation of soft-matter quasicrystals due to the present solution was considered.