A Variational Characterization of Fluid Sloshing with Surface Tension
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Publication:5268008
DOI10.1137/16M1104330zbMath1368.49058arXiv1706.00142OpenAlexW2620855759MaRDI QIDQ5268008
Chee Han Tan, Christel Hohenegger, Braxton Osting
Publication date: 14 June 2017
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.00142
Capillarity (surface tension) for incompressible inviscid fluids (76B45) Variational methods applied to problems in fluid mechanics (76M30) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for eigenvalues of operators (49R05)
Related Items (2)
High Spots for the Ice-Fishing Problem with Surface Tension ⋮ An isoperimetric sloshing problem in a shallow container with surface tension
Cites Work
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- The shape of the fundamental sloshing mode in axisymmetric containers
- Practical use of variational principles for modeling water waves
- Sloshing frequencies
- Recent progress in the moving contact line problem: a review
- On forced capillary-gravity waves in a circular cylinder
- Analytical solutions of first-mode sloshing in new containers
- Analytical solutions of first-mode sloshing in new axisymmetric containers
- The contact angle in inviscid fluid mechanics
- New axisymmetric containers for isochronous sloshing: a tribute to B. Andreas Troesch
- Eigenvalue inequalities for mixed Steklov problems
- On the ‘high spots’ of fundamental sloshing modes in a trough
- On high spots of the fundamental sloshing eigenfunctions in axially symmetric domains
- A new method for calculating eigenvalues with applications to gravity-capillary waves with edge constraints
- The capillary boundary layer for standing waves
- Capillary–viscous forcing of surface waves
- Frequencies of gravity–capillary waves on highly curved interfaces with edge constraints
- The linear constraints in Poincaré and Korn type inequalities
- Direct Methods in the Theory of Elliptic Equations
- ‘High spots’ theorems for sloshing problems
- Long Gravity—Capillary Waves with Edge Constraints
- The damping of capillary–gravity waves at a rigid boundary
- Waves produced by a vertically oscillating plate
- On surface waves with zero contact angle
- Gravity-capillary waves with edge constraints
- Surface-wave damping in a circular cylinder with a fixed contact line
- A general approach to linear and non-linear dispersive waves using a Lagrangian
- Advanced Transport Phenomena
- Liquid Sloshing Dynamics
- Introduction to the Theory of Oscillations of Liquid-Containing Bodies
- Variational statement of the problem of liquid motion in a container of finite dimensions
- An isoperimetric sloshing problem
- A variational principle for a fluid with a free surface
- Variational methods and applications to water waves
- Containers with Isochronous Fluid Oscillations
- On the two-dimensional sloshing problem
- On the two-dimensional sloshing problem
- Direct methods in the calculus of variations
- Operator approach to linear problems of hydrodynamics. Vol. 1: Self-adjoint problems for an ideal fluid
- On a special case of forced capillary-gravity waves in a circular basin under Hocking's edge condition.
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