On rotational waves of limit amplitude

DOI10.1134/S0016266321020088zbMath1477.35168OpenAlexW3211919216MaRDI QIDQ2246833

Yanyan Li

Publication date: 16 November 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266321020088

zbMATH Keywords

vorticityglobal bifurcationStokes wavesextreme waves

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08)

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Cites Work

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• A geometric approach to generalized Stokes conjectures
• Periodic traveling gravity water waves with discontinuous vorticity
• Small-amplitude Stokes and solitary gravity water waves with an arbitrary distribution of vorticity
• On the existence of extreme waves and the Stokes conjecture with vorticity
• On solitary water-waves of finite amplitude
• On the Stokes conjecture for the wave of extreme form
• Upper bound on the slope of steady water waves with small adverse vorticity
• Convexity of Stokes waves of extreme form
• The Stokes conjecture for waves with vorticity
• On bounds for steady waves with negative vorticity
• A new boundary Harnack principle (equations with right hand side)
• Global bifurcation of steady gravity water waves with critical layers
• Singularities of Bernoulli Free Boundaries
• On bounds and non-existence in the problem of steady waves with vorticity
• The Froude number for solitary water waves with vorticity
• On periodic water-waves and their convergence to solitary waves in the long-wave limit
• On the existence of a wave of greatest height and Stokes’s conjecture
• The Stokes and Krasovskii Conjectures for the Wave of Greatest Height
• Exact steady periodic water waves with vorticity
• On the Benjamin–Lighthill conjecture for water waves with vorticity
• On the Behavior Near the Crest of Waves of Extreme Form
• The Asymptotic Behavior Near the Crest of Waves of Extreme Form
• Global Bifurcation of Waves with Multiple Critical Layers