13 citations · 16 across the 4 of their papers we have counts for
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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…
Hamiltonian regularisation of shallow water equations with uneven bottom
Didier Clamond, Denys Dutykh, Dimitrios Mitsotakis
The regularisation of nonlinear hyperbolic conservation laws has been a problem of great importance for achieving uniqueness of weak solutions and also for accurate numerical simul…
On some model equations for pulsatile flow in viscoelastic vessels
Dimitrios Mitsotakis, Denys Dutykh, Qian Li +1
Considered here is the derivation of partial differential equations arising in pulsatile flow in pipes with viscoelastic walls. The equations are asymptotic models describing the p…
Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry
Dimitrios Mitsotakis, Denys Dutykh, Li Qian
The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is present…