Periodic patterns, linear instability symplectic structure and mean-flow dynamics for three-dimensional surface waves

DOI10.1098/rsta.1996.0019zbMath0953.76007OpenAlexW2155970113MaRDI QIDQ3837465

Thomas J. Bridges

Publication date: 8 December 1996

Published in: Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1996.0019

zbMATH Keywords

symplectic structurelinear instabilityperiodic patternsmean-flow dynamicsthree-dimensional surface waves

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydrodynamic stability (76E99)

Related Items

Practical use of variational principles for modeling water waves ⋮ The modulational instability of Stokes waves on the surface of finite-depth fluid ⋮ VARIATIONAL PRINCIPLES FOR WATER WAVES FROM THE VIEWPOINT OF A TIME‐DEPENDENT MOVING MESH ⋮ A new framework for studying the stability of genus-1 and genus-2 KP patterns