The Stability of Large-Amplitude Shallow Interfacial Non-Boussinesq Flows
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Publication:2893195
DOI10.1111/j.1467-9590.2011.00528.xzbMath1379.76015OpenAlexW1603678174MaRDI QIDQ2893195
Anakewit Boonkasame, Paul A. Milewski
Publication date: 26 June 2012
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://opus.bath.ac.uk/26201/1/j.1467%2D9590.2011.00528.x.pdf
Nonlinear effects in hydrodynamic stability (76E30) Interfacial stability and instability in hydrodynamic stability (76E17)
Related Items (15)
Local Well-Posedness of the Two-Layer Shallow Water Model with Free Surface ⋮ A Model for Strongly Nonlinear Long Interfacial Waves with Background Shear ⋮ Adaptation of f-wave finite volume methods to the Boonkasame-Milewski non-Boussinesq two-layer shallow interfacial sloshing equations coupled to the vessel motion ⋮ Nonlinear travelling periodic waves for the Euler equations in three-layer flows ⋮ Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid ⋮ Stratified inclined duct: two-layer hydraulics and instabilities ⋮ Two-layer interfacial flows beyond the Boussinesq approximation: a Hamiltonian approach ⋮ Sustained gravity currents in a channel ⋮ On regularizing the strongly nonlinear model for two-dimensional internal waves ⋮ Hamiltonian aspects of three-layer stratified fluids ⋮ Nonlinear stability of two-layer shallow water flows with a free surface ⋮ Effects of inertia and stratification in incompressible ideal fluids: pressure imbalances by rigid confinement ⋮ The Kelvin-Helmholtz Instabilities in Two-Fluids Shallow Water Models ⋮ Nonlinear stability in three-layer channel flows ⋮ Long ring waves in a stratified fluid over a shear flow
Cites Work
- Asymptotic models for internal waves
- Nonhydrostatic two-layer models of incompressible flow
- Nonlinear stability of two-layer flows
- Well-posedness of two-layer shallow-water flow between two horizontal rigid plates
- Hyperbolic systems of conservation laws II
- Stability Properties and Nonlinear Mappings of Two and Three-Layer Stratified Flows
- Well-posedness of the Cauchy problem for models of large amplitude internal waves
- Mixing Closures for Conservation Laws in Stratified Flows
- Simple waves do not avoid eigenvalue crossings
- Internal hydraulic jumps and mixing in two-layer flows
- Fully nonlinear internal waves in a two-fluid system
- Long Non‐Linear Waves in Fluid Flows
- Hamiltonian long‐wave expansions for free surfaces and interfaces
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