Planforms in three dimensions
作者： Benoit Dionne
DOI: 10.1007/BF00948482
关键词: Isotropy 、 Euclidean geometry 、 Equivariant map 、 Differential equation 、 Mathematics 、 Partial differential equation 、 Mathematical analysis 、 Irreducible representation 、 Symmetry (geometry) 、 First-order partial differential equation
摘要: The spatially periodic, steady-state solutions to systems of partial differential equations (PDE) are calledplanforms. There already exists a classification the planforms for Euclidean equivariant PDE inR2 (see [6, 7]), In this article we attempt give such inR3. Based on symmetry and spatial periodicity each planform, 59 different found.
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