Hidden Symmetry in a Kuramoto–Sivashinsky Initial-Boundary Value Problem

DOI10.1142/S021812741750136XzbMath1373.35039arXiv1612.05300OpenAlexW2996219704MaRDI QIDQ5371171

Lennaert Van Veen, Pietro-Luciano Buono, Eryn Frawley

Publication date: 25 October 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05300

zbMATH Keywords

Kuramoto-Sivashinsky equationLyapunov-Schmidt reductionequivariant bifurcationhidden symmetryNewton-Krylov continuation

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Symmetries, invariants, etc. in context of PDEs (35B06) Initial-boundary value problems for higher-order parabolic systems (35K52)

Cites Work

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• Singularities and groups in bifurcation theory. Volume II
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• BIFURCATION ANALYSIS OF THE KURAMOTO–SIVASHINSKY EQUATION IN ONE SPATIAL DIMENSION
• On the State Space Geometry of the Kuramoto–Sivashinsky Flow in a Periodic Domain

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