3 citations · 4 across the 2 of their papers we have counts for
2 papers
math.AP2024★ 3 cited
Relaxing the sharp density stratification and columnar motion assumptions in layered shallow water systems
Mahieddine Adim, Roberta Bianchini, Vincent Duchêne
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-piece…
math.AP2023★ 1 cited
Approximating a continuously stratified hydrostatic system by the multi-layer shallow water system
Mahieddine Adim
In this article we consider the multi-layer shallow water system for the propagation of gravity waves in density-stratified flows, with additional terms introduced by the oceanogra…