Estimate of the existence time for solutions to the surface wave equation

DOI10.1134/S1064562408010298zbMath1274.76158MaRDI QIDQ960673

R. V. Shamin

Publication date: 5 January 2009

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

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (2)

Description of water wave dynamics based on differential inclusions ⋮ Dynamics of an ideal liquid with a free surface in conformal variables

Cites Work

• Numerical simulation of gravity waves
• New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
• Nonstationary vortex surface waves
• Well-posedness in Sobolev spaces of the full water wave problem in 3-D

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