43 citations · 378 across the 28 of their papers we have counts for
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math.AP2016★ 33 cited
Well-posedness of the Green-Naghdi and Boussinesq-Peregrine systems
Vincent Duchêne, Samer Israwi
In this paper we address the Cauchy problem for two systems modeling the propagation of long gravity waves in a layer of homogeneous, incompressible and inviscid fluid delimited ab…
math.SP2016
Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials
Vincent Duchêne, Nicolas Raymond
This study is devoted to the asymptotic spectral analysis of multiscale Schrödinger operators with oscillating and decaying electric potentials. Different regimes, related to scali…