The Low Dimensionality of Time-Periodic Standing Waves in Water of Finite and Infinite Depth

DOI10.1137/11084621XzbMath1263.37084OpenAlexW1974983064MaRDI QIDQ4904535

Matthew O. Williams, Jon Wilkening, Eli Shlizerman, J. Nathan Kutz

Publication date: 30 January 2013

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/11084621x

zbMATH Keywords

periodic orbitsproper orthogonal decompositionstanding water waves

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Periodic orbits of vector fields and flows (37C27)

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Sparse + low-energy decomposition for viscous conservation laws

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