Normal Form Transformations for Capillary-Gravity Water Waves

DOI10.1007/978-1-4939-2950-4_3zbMath1331.35274OpenAlexW2278904503MaRDI QIDQ2787283

Walter Craig, Catherine Sulem

Publication date: 25 February 2016

Published in: Hamiltonian Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-2950-4_3

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35)

Related Items (7)

Mapping properties of normal forms transformations for water waves ⋮ Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves ⋮ The water wave problem and Hamiltonian transformation theory ⋮ Quasi-periodic water waves ⋮ Quadratic life span of periodic gravity-capillary water waves ⋮ Enhanced Existence Time of Solutions to the Fractional Korteweg--de Vries Equation ⋮ Long time existence for fully nonlinear NLS with small Cauchy data on the circle

Cites Work

• Unnamed Item
• Justification of the nonlinear Schrödinger equation for the evolution of gravity driven 2D surface water waves in a canal of finite depth
• A rigorous justification of the modulation approximation to the 2D full water wave problem
• Numerical simulation of gravity waves
• Wave turbulence.
• Almost global wellposedness of the 2-D full water wave problem
• Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid
• A dynamic equation for water waves in one horizontal dimension
• Global solutions for the gravity water waves system in 2d
• Nonlinear modulation of gravity waves: a rigorous approach
• A generalized stability criterion for resonant triad interactions
• Global solutions for the gravity water waves equation in dimension 3
• An integrable normal form for water waves in infinite depth

This page was built for publication: Normal Form Transformations for Capillary-Gravity Water Waves