ON A BI-LAYER SHALLOW WATER MODEL WITH RIGID-LID HYPOTHESIS

DOI10.1142/S0218202505000583zbMath1099.35077MaRDI QIDQ5315676

Bernard Di Martino, Mathieu Peybernes, Pierre Orenga

Publication date: 9 September 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

regularityGalerkin methodexistenceshallow watergeophysical fluidsbi-layer modelrigid-lid

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (7)

SIMULATION OF A SPILLED OIL SLICK WITH A SHALLOW WATER MODEL WITH FREE BOUNDARY ⋮ ROLL-WAVES IN BI-LAYER FLOWS ⋮ Global stability of weak solutions for a multilayer Saint-Venant model with interactions between layers ⋮ Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid ⋮ Local martingale solutions to the stochastic two layer shallow water equations with multiplicative white noise ⋮ A Saint-Venant model for gravity driven shallow water flows with variable density and compressibility effects ⋮ Pultrusion manufacturing process development by computational modelling and methods

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Global well-posedness for the lake equations
• Semi-implicit finite difference methods for the two-dimensional shallow water equations
• Existence theorem for the solution of a shallow water problem
• Resolution by Galerkin method with a special basis of a geophysical flow in open sea: A Calvi's bay simulation
• Numerical investigation of the regularity of the pressure for the primitive equations of the ocean
• A Numerical Approach to Marine Circulation Using Free Surface or Rigid-lid Modeling: Application in the Bay of Calvi
• On a non-homogeneous shallow-water problem
• Elliptic Partial Differential Equations of Second Order
• On the two-dimensional compressible isentropic Navier–Stokes equations
• ANALYSIS OF SOME SHALLOW WATER PROBLEMS WITH RIGID-LID HYPOTHESIS
• The Generalized Nonlinear Galerkin Method Applied to Hydrodynamics of the Open Sea

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