Three-Dimensional Generalized Dynamics of Soft-Matter Quasicrystals

The three-dimensional generalized dynamics of soft-matter quasicrystals was investigated, in which the governing equations of the dynamics are derived for observed 12-fold symmetry quasicrystals and possible observed 8- and 10-symmetry ones in near future in soft matter. The solving methods, possible solutions for some initial and boundary value problems of the equations and possible applications are discussed as well.