Uniqueness Issues on Permanent Progressive Water-Waves

DOI10.2991/jnmp.2004.11.4.4zbMath1064.35147OpenAlexW2170289819MaRDI QIDQ4653186

Kenta Kobayashi, Hisashi Okamoto

Publication date: 7 March 2005

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2004.11.4.4

zbMATH Keywords

pure capillary wavespositive gravity waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Nonlinear ordinary differential operators (34L30)

Related Items (1)

On the local uniqueness and the profile of the extreme Stokes wave

Cites Work

• Unnamed Item
• On solitary water-waves of finite amplitude
• Uniqueness and related analytic properties for the Benjamin-Ono equation -- A nonlinear Neumann problem in the plane
• The Peierls-Nabarro and Benjamin-Ono equations
• The regularity and local bifurcation of steady periodic water waves
• The sub-harmonic bifurcation of Stokes waves
• Numerical computation of water and solitary waves by the double exponential transform.
• Convexity of Stokes waves of extreme form
• An exact solution for progressive capillary waves of arbitrary amplitude
• The stability of solitary waves
• Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep Water
• NONUNIQUENESS OF SOLUTIONS OF THE PROBLEM OF SOLITARY WAVES AND BIFURCATION OF CRITICAL POINTS OF SMOOTH FUNCTIONALS
• On the existence of a wave of greatest height and Stokes’s conjecture
• On the existence theory for irrotational water waves
• Uniqueness of Benjamin's Solitary-Wave Solution of the Benjamin-Ono Equation

This page was built for publication: Uniqueness Issues on Permanent Progressive Water-Waves