Solvability of a supercritical free surface flow problem under gravity-capillarity

DOI10.1080/00036811.2017.1335395zbMath1393.35290OpenAlexW2621377144WikidataQ58255291 ScholiaQ58255291MaRDI QIDQ3177651

R. Ait Yahia-Djouadi, N. Foukroun, D. Hernane-Boukari

Publication date: 1 August 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1335395

zbMATH Keywords

gravitycapillarityFroude numbersupercriticalBernoulli's equationfree surface problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Free boundary problems for PDEs (35R35) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (2)

Numerical solution of a free surface flow problem over an obstacle ⋮ Solvability of a three-dimensional free surface flow problem over an obstacle

Cites Work

• Unnamed Item
• On the existence and conditional energetic stability of solitary gravity-capillary surface waves on deep water
• On the water-wave equations with surface tension
• Uniqueness and trapped modes in the linear problem of the steady flow over a submerged hollow
• On the plane problem of the flow around a submerged beam
• A mathematical theory for viscous, free-surface flows over a perturbed plane
• Solvability of a plane elliptic problem for the flow in a channel with a surface-piercing obstacle
• Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves
• Existence and uniqueness of the solution of a supercritical free surface flow problem over an obstacle
• Variational linear problems in wave-obstacle interaction
• Gravity capillary standing water waves
• Fully localised solitary-wave solutions of the three-dimensional gravity -- capillary water-wave problem
• The steady two-dimensional flow over a rectangular obstacle lying on the bottom
• ON UNIQUE SOLVABILITY OF THE PLANE NEUMANN-KELVIN PROBLEM
• Free streamline flow over curved topography
• On unique solvability and regularity in the linearized two-dimensional wave resistance problem
• Traveling Two and Three Dimensional Capillary Gravity Water Waves
• Linear Water Waves
• The Neumann–Kelvin problem revisited
• The subcritical motion of a surface-piercing cylinder: existence and regularity of waveless solutions of the linearized problem.

This page was built for publication: Solvability of a supercritical free surface flow problem under gravity-capillarity