Dynamics of an ideal liquid with a free surface in conformal variables

DOI10.1007/s10958-009-9520-1zbMath1267.76002OpenAlexW2131079156MaRDI QIDQ1039383

R. V. Shamin

Publication date: 27 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9520-1

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) Complex variables methods applied to problems in fluid mechanics (76M40) Free-surface potential flows for incompressible inviscid fluids (76B07) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Cites Work

• Numerical simulation of gravity waves
• 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
• A note on a theorem of Nirenberg
• Nonstationary vortex surface waves
• Freak waves as nonlinear stage of Stokes wave modulation instability
• On classical solutions of the two-dimensional non-stationary Euler equation
• Mathematical aspects of surface water waves
• Well-posedness in Sobolev spaces of the full water wave problem in 3-D
• Spaces of initial data for differential equations in a Hilbert space
• Non-stationary flow of an ideal incompressible liquid
• The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
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