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Shallow water model for lakes with friction and penetration

✍ Scribed by N. V. Chemetov; F. Cipriano; S. Gavrilyuk

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
269 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

We deduce a shallow water model, describing the motion of the fluid in a lake, assuming inflow-outflow effects across the bottom. This model arises from the asymptotic analysis of the 3D dimensional Navier-Stokes equations. We prove the global in time existence result for this model in a bounded domain taking the nonlinear slip/friction boundary conditions to describe the inflows and outflows of the porous coast and the rivers. The solvability is shown in the class of solutions with L p -bounded vorticity for any given p ∈ (1, ∞].

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On a kinetic model for shallow water wav
On a kinetic model for shallow water waves
✍ Jens Struckmeier πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 476 KB

## Abstract The system of shallow water waves is one of the classical examples for non‐linear, two‐dimensional conservation laws. The paper investigates a simple kinetic equation depending on a parameter Ο΅ which leads for Ο΅ β†’ 0 to the system of shallow water waves. The corresponding β€˜equilibrium’ d