中文摘要：

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.

英文摘要：

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.