Description of water wave dynamics based on differential inclusions

DOI10.1134/S1064562411030306zbMath1232.35132OpenAlexW2048541688MaRDI QIDQ656342

R. V. Shamin

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411030306

zbMATH Keywords

differential inclusionsevolution equationsexistence time of solutionsunsteady inviscid flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35) Integro-partial differential equations (35R09)

Cites Work

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• New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
• Estimate of the existence time for solutions to the surface wave equation
• On the existence of smooth solutions to the Dyachenko equations governing free-surface unsteady ideal fluid flows
• Well-posedness in Sobolev spaces of the full water wave problem in 2D
• Freak waves as nonlinear stage of Stokes wave modulation instability
• Well-posedness of the water-waves equations
• Freak waves: Their occurrence and probability

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