The spherical coordinate form of three-dimensional generalized dynamics of soft-matter quasicrystals with 12-fold symmetry

TL;DR

This paper develops a spherical coordinate formulation for the 3D generalized dynamics of soft-matter quasicrystals with 12-fold symmetry, facilitating the solution of initial-boundary value problems and discussing relevant solving methods.

Contribution

It introduces a novel spherical coordinate form for modeling the dynamics of 12-fold symmetric soft-matter quasicrystals, advancing analytical approaches.

Findings

Provides a basis for solving initial-boundary value problems

Discusses relevant solving methods

Enhances understanding of quasicrystal dynamics

Abstract

This article reports the spherical coordinate form of three-dimensional generalized dynamics of soft-matter quasicrystals with 12-fold symmetry which provides a basis for solving initial-boundary value problems of the equations under some important cases. Some relevant solving methods are discussed as well.