Strongly Nonlinear Waves

1982/01/01 by Leonard W. Schwartz, John D. Fenton · 2 citations
Earth and Planetary Sciences · Mathematics · #Oceanographic and Atmospheric Processes #Meteorological Phenomena and Simulations #Ocean Waves and Remote Sensing #Nonlinear system #Field (mathematics) #Computer science #Scale (ratio) #Statistical physics #Fluid mechanics #Mechanics #Physics #Mathematics

paper · doi:10.1146/annurev.fl.14.010182.000351

openalex publication_date 1982/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

Abstract

The field of fluid mechanics is rapidly advancing, driven by unprecedented volumes of data from experiments, field measurements, and large-scale simulations at multiple spatiotemporal scales. Machine learning (ML) offers a wealth of techniques to extract ...Read More

Citations

• The singularity at the crest of a finite amplitude progressive Stokes wave
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves
• XLIV. The highest waves in water
• XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
• Steep gravity waves in water of arbitrary uniform depth
• An exact solution for progressive capillary waves of arbitrary amplitude
• The deformation of steep surface waves on water - I. A numerical method of computation
• On the existence of a wave of greatest height and Stokes’s conjecture
• The long-wave paradox in the theory of gravity waves
• Experiments on collisions between solitary waves
• Contributions to the theory of stokes waves
• The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
• On the mass, momentum, energy and circulation of a solitary wave. II
• Integral properties of periodic gravity waves of finite amplitude

Cited by

• NONLINEAR GRAVITY AND CAPILLARY-GRAVITY WAVES
• Stokes wave [wikipedia]