On a bi-layer shallow-water problem

DOI10.1016/S1468-1218(02)00019-6zbMath1053.76018OpenAlexW2049917555MaRDI QIDQ1863667

Pierre Orenga, François Joseph Chatelon, María Luz Muñoz-Ruiz

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1468-1218(02)00019-6

zbMATH Keywords

a priori estimatesnonlinear partial differential equationsshallow-water equationsbi-layer modelSobolev and Orlicz spaces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Stratification effects in viscous fluids (76D50) Waves for incompressible viscous fluids (76D33)

Related Items (9)

On a non-homogeneous bi-layer shallow-water problem: smoothness and uniqueness results ⋮ Global stability of weak solutions for a multilayer Saint-Venant model with interactions between layers ⋮ Existence of global weak solutions for a viscous 2D bilayer shallow water model ⋮ An efficient two-layer non-hydrostatic approach for dispersive water waves ⋮ Recent Mathematical Results and Open Problems about Shallow Water Equations ⋮ On a bi-layer shallow water problem with Dirichlet boundary conditions. ⋮ Mathematical and Numerical Analysis of a Tsunami Problem ⋮ Existence of a global weak solution for a 2D viscous bi-layer shallow water model ⋮ Analysis of a tsunami problem

Cites Work

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• An analysis of a mixed finite element method for the Navier-Stokes equations
• Existence theorem for the solution of a shallow water problem
• Some smoothness and uniqueness results for a shallow-water problem
• On a non-homogeneous shallow-water problem
• Improvement and generalization of a finite element shallow-water solver to multi-layer systems

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