Relaxing the sharp density stratification and columnar motion assumptions in layered shallow water systems

We rigorously justify the bilayer shallow-water system as an approximation to the hydrostatic Euler equations in situations where the flow is density-stratified with close-to-piecewise constant density profiles, and close-to-columnar velocity profiles. Our theory accommodates with continuous stratif...

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Bibliographic Details
Main Authors: Adim, Mahieddine, Bianchini, Roberta, Duchêne, Vincent
Format: Article
Language:English
Published: Académie des sciences 2024-11-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.665/
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