Solvability of a plane elliptic problem for the flow in a channel with a surface-piercing obstacle

DOI10.4171/ZAA/1150zbMath1112.35314OpenAlexW1989074744MaRDI QIDQ1876018

Yanyan Li

Publication date: 6 September 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1150

zbMATH Keywords

variational problemsThree-dimensional flowNeumann-Kelvin condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Variational methods for second-order elliptic equations (35J20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (2)

Solvability of a supercritical free surface flow problem under gravity-capillarity ⋮ Solvability of a three-dimensional free surface flow problem over an obstacle

Cites Work

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• The forward motion of an unsymmetric surface-piercing cylinder: the solvability of a nonlinear problem in the supercritical case
• ON UNIQUE SOLVABILITY OF THE PLANE NEUMANN-KELVIN PROBLEM
• Solvability of the two-dimensional kelvin-neumann problem for a submerged circular cylinder
• On the waveless statement of the two-dimensional Neumann-Kelvin problem for a surface-piercing body
• On unique solvability and regularity in the linearized two-dimensional wave resistance problem
• The subcritical motion of a surface-piercing cylinder: existence and regularity of waveless solutions of the linearized problem.

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