43 citations · 378 across the 28 of their papers we have counts for
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math.AP2018★ 11 cited
Large-time asymptotic stability of Riemann shocks of scalar balance laws
Vincent Duchêne, Luis Miguel Rodrigues
We prove the large-time asymptotic orbital stability of strictly entropic Riemann shock solutions of first order scalar hyperbolic balance laws, under piecewise regular perturbatio…
math.AP2018★ 19 cited
Rigorous justification of the Favrie-Gavrilyuk approximation to the Serre-Green-Naghdi model
Vincent Duchêne
The (Serre-)Green-Naghdi system is a non-hydrostatic model for the propagation of surface gravity waves in the shallow-water regime. Recently , Favrie and Gavrilyuk proposed in [No…