On uniqueness of a solution to the plane problem on interaction of surface waves with obstacle

DOI10.1007/S10958-008-0100-6zbMath1202.76025OpenAlexW2078704898MaRDI QIDQ613720

Nikolay Kuznetsov

Publication date: 21 December 2010

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

Full work available at URL: https://doi.org/10.1007/s10958-008-0100-6

Mathematics Subject Classification ID

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)

Cites Work

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• Uniqueness in the water-wave problem for bodies intersecting the free surface at arbitrary angles
• Uniqueness in linearized two-dimensional water-wave problems
• An example of non-uniqueness in the two-dimensional linear water wave problem

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