Well-posedness of two-layer shallow-water flow between two horizontal rigid plates

DOI10.1088/0951-7715/24/4/004zbMath1216.35095OpenAlexW2046585257MaRDI QIDQ2996874

Bresch, Didier, Michael Renardy

Publication date: 4 May 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/24/4/004

zbMATH Keywords

rigid platestwo-layer shallow-water flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Capillarity (surface tension) for incompressible inviscid fluids (76B45)

Related Items (8)

The Stability of Large-Amplitude Shallow Interfacial Non-Boussinesq Flows ⋮ Kelvin-Helmholtz instability with a free surface ⋮ On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast ⋮ The linearized 2D inviscid shallow water equations in a rectangle: boundary conditions and well-posedness ⋮ Global weak solutions to one-dimensional non-conservative viscous compressible two-phase system ⋮ The Kelvin-Helmholtz Instabilities in Two-Fluids Shallow Water Models ⋮ The multilayer shallow water system in the limit of small density contrast ⋮ Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids

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