Qualitative theory of nonlinear steady water waves

DOI10.3103/S1063454108020052zbMath1159.76007OpenAlexW1985095490MaRDI QIDQ946058

Vladimir A. Kozlov, Nikolay Kuznetsov

Publication date: 22 September 2008

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454108020052

zbMATH Keywords

boundednessByatt-Smith's integro-differential equationfinite depth water

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)

Cites Work

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• Symmetry of solitary waves
• NONUNIQUENESS OF SOLUTIONS OF THE PROBLEM OF SOLITARY WAVES AND BIFURCATION OF CRITICAL POINTS OF SMOOTH FUNCTIONALS
• On the mass, momentum, energy and circulation of a solitary wave
• Water waves and conjugate streams
• Steady Water Waves
• Verification of the Benjamin–Lighthill conjecture about steady water waves
• On cnoidal waves and bores
• The existence of solitary waves

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