On optimal canonical variables in the theory of ideal fluid with free surface

DOI10.1016/j.physd.2005.02.010zbMath1070.35035arXivnlin/0410054OpenAlexW2019790853MaRDI QIDQ556391

Pavel M. Lushnikov, Vladimir E. Zakharov

Publication date: 13 June 2005

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0410054

zbMATH Keywords

Hamiltonianill-posednesssurface wavescanonical transformtion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Ill-posed problems for PDEs (35R25)

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Numerical simulation of surface waves instability on a homogeneous grid ⋮ Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface

Cites Work

• New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
• Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid
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• Turbulence of capillary waves -- theory and numerical simulation
• Verification of Hasselmann's energy transfer among surface gravity waves by direct numerical simulations of primitive equations
• An integrable normal form for water waves in infinite depth