On the symmetry of spatially periodic two-dimensional water waves

DOI10.3934/dcds.2016107zbMath1354.35104OpenAlexW2535157337MaRDI QIDQ727424

Florian Kogelbauer

Publication date: 6 December 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016107

zbMATH Keywords

traveling waveirrotational water waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Maximum principles in context of PDEs (35B50) Traveling wave solutions (35C07)

Related Items (1)

Symmetric solutions of evolutionary partial differential equations

Cites Work

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• Recovery of the wave profile for irrotational periodic water waves from pressure measurements
• Symmetric irrotational water waves are traveling waves
• The trajectories of particles in Stokes waves
• On the symmetry of steady periodic water waves with stagnation points
• A characterization of the symmetric steady water waves in terms of the underlying flow
• Symmetry of steady periodic gravity water waves with vorticity
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
• Symmetric Waves Are Traveling Waves
• A Modern Introduction to the Mathematical Theory of Water Waves
• Symmetry of steady periodic surface water waves with vorticity
• Recovery of steady periodic wave profiles from pressure measurements at the bed
• New exact relations for easy recovery of steady wave profiles from bottom pressure measurements

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