Existence and uniqueness of the solution of a supercritical free surface flow problem over an obstacle

DOI10.1007/s13163-009-0017-8zbMath1200.35338OpenAlexW2032533999MaRDI QIDQ1958677

C. Titri-Bouadjenak, D. Teniou, Rachida Ait-Yahia, Dahbia Hernane

Publication date: 4 October 2010

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-009-0017-8

zbMATH Keywords

implicit functionfree boundaryFroude numberobstaclesupercritical flowinviscid fluidirrotational

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Applications of operator theory to differential and integral equations (47N20) Free boundary problems for PDEs (35R35) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (3)

Solvability of a supercritical free surface flow problem under gravity-capillarity ⋮ Flows of two immiscible fluids over an obstacle ⋮ Stationary shapes for 2-d water-waves and hydraulic jumps

Cites Work

• Unnamed Item
• Identifiability and stability of boundaries in a supercritical free surface flow
• Nonlinear, drag-free flow over a submerged semi-elliptical body
• A mathematical theory for viscous, free-surface flows over a perturbed plane
• Elliptic partial differential equations of second order
• Free surface flow over an obstacle. Theoretical study of the fluvial case
• Free streamline flow over curved topography
• Unique continuation on a line for harmonic functions

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