The steady two-dimensional flow over a rectangular obstacle lying on the bottom

DOI10.1016/J.JMAA.2008.01.020zbMath1133.76008OpenAlexW1980104445MaRDI QIDQ2481940

Paolo Simioni, Dario Pierotti

Publication date: 15 April 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.020

zbMATH Keywords

regularityasymptotic propertiesunique solvability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (3)

Solvability of a supercritical free surface flow problem under gravity-capillarity ⋮ Solvability of a three-dimensional free surface flow problem over an obstacle ⋮ The Problem of Steady Flow over a Two-Dimensional Bottom Obstacle

Cites Work

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• Uniqueness and trapped modes in the linear problem of the steady flow over a submerged hollow
• Variational linear problems in wave-obstacle interaction
• Free-surface flow over a semicircular obstruction
• Solvability of the two-dimensional kelvin-neumann problem for a submerged circular cylinder
• On unique solvability and regularity in the linearized two-dimensional wave resistance problem
• Linear Water Waves
• The Subcritical Motion of a Semisubmerged Body: Solvability of the Free Boundary Problem
• Trapped waves between submerged obstacles
• Open channel flows with submerged obstructions
• The Neumann–Kelvin problem revisited

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