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Long Time Well-Posedness and Full Justification of a Whitham-Green-Naghdi System
Abstract. We establish the full justification of a “Whitham-Green-Naghdi” system modeling the propagation of surface gravity waves with bathymetry in the shallow water regime. It is an asymptotic model of the water waves equations with the same dispersion relation. The model under study is a nonlocal quasilinear symmetrizable hyperbolic system …