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math.AP2022
Extended water wave systems of Boussinesq equations on a finite interval: Theory and numerical analysis
Dionyssios Mantzavinos, Dimitrios Mitsotakis
Considered here is a class of Boussinesq systems of Nwogu type. Such systems describe propagation of nonlinear and dispersive water waves of significant interest such as solitary a…
physics.flu-dyn2022★ 1 cited
Deep learning of inverse water waves problems using multi-fidelity data: Application to Serre-Green-Naghdi equations
Ameya D. Jagtap, Dimitrios Mitsotakis, George Em Karniadakis
We consider strongly-nonlinear and weakly-dispersive surface water waves governed by equations of Boussinesq type, known as the Serre-Green-Naghdi system; it describes future state…