43 citations · 378 across the 28 of their papers we have counts for
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math.AP2015★ 6 cited
The multilayer shallow water system in the limit of small density contrast
Vincent Duchêne
We study the inviscid multilayer Saint-Venant (or shallow-water) system in the limit of small density contrast. We show that, under reasonable hyperbolicity conditions on the flow…
math.AP2015★ 33 cited
A new class of two-layer Green-Naghdi systems with improved frequency dispersion
Vincent Duchêne, Samer Israwi, Raafat Talhouk
We introduce a new class of Green-Naghdi type models for the propagation of internal waves between two (1+1)-dimensional layers of homogeneous, immiscible, ideal, incompressible, i…