Planforms in three dimensions

DOI10.1007/BF00948482zbMath0779.35006MaRDI QIDQ687418

Benoit Dionne

Publication date: 24 October 1993

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

Kuramoto-Sivashinsky equationsteady-state bifurcationequivariant branching lemmaEuclidean equivariant systemsLyapunov-Schmidt reduction with symmetryplanformsspatially periodic, steady-state solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Navier-Stokes equations (35Q30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Bifurcations in context of PDEs (35B32)

Related Items

New planforms in systems of partial differential equations with Euclidean symmetry, EXAMPLES OF FORCED SYMMETRY-BREAKING TO HOMOCLINIC CYCLES IN THREE-DIMENSIONAL EUCLIDEAN-INVARIANT SYSTEMS, Planforms in two and three dimensions, Hexagonal projected symmetries, EXAMPLES OF FORCED SYMMETRY-BREAKING TO HETEROCLINIC CYCLES AND NETWORKS IN THREE-DIMENSIONAL EUCLIDEAN-INVARIANT SYSTEMS

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