软物质第二类二维准晶广义流体动力学

提出了第一类与第二类二维准晶概念.在笔者已有工作（范天佑. 软物质准晶广义流体动力学方程组[J]. 应用数学和力学， 2016,37(4): 331-344.）的基础上,对可能的7次、9次和14次对称软物质第二类二维准晶广义流体动力学进行了全面讨论，建立了它们的终态控制方程组,为软物质准晶学科的发展提供了一个数学模型，为探讨有关物理问题的时间 空间演化提供了可操作的实际可行的求解体系和分析工具，是对该工作的一个重要发展.

Generalized Hydrodynamics for Second 2D Soft-Matter Quasicrystals

The concept on the first and second kinds of 2D quasicrystals was put forward, and through extension of ref.[1], the generalized hydrodynamics for possible soft-matter quasicrystals with 7-, 9- and 14-fold symmetries was suggested based on the Langevin equation and with the derivation method of the Poisson bracket. The derivation referred to the previous work of the author. The soft-matter quasicrystals observed so far were 2D ones. From this point of view, all the soft-matter quasicrystals both discovered and possibly discovered were considered in ref.[1] and the present work from the angle of symmetry and generalized hydrodynamics, where the equation of state as a key, was built by ref.[1]. Final governing equations (7), (9) and (11) were similar to those given in ref.[1], and the solution was also similar, so that the way of solution for the first kind of 2D soft-matter quasicrystals is beneficial to the second kind.