107 citations · 3.2k across the 144 of their papers we have counts for
4 papers · 2 filters
Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations
Yue Pu, Robert Pego, Denys Dutykh +1
We study a regularization of the classical Saint-Venant (shallow-water) equations, recently introduced by D. Clamond and D. Dutykh (Commun. Nonl. Sci. Numer. Simulat. 55 (2018) 237…
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…
On the velocity of turbidity currents over moderate slopes
V. Yu Liapidevskii, Denys Dutykh
In the present article we consider the problem of underwater avalanches propagating over moderate slopes. The main goal of our work is to investigate the avalanche front velocity s…
Peregrine's system revisited
Angel Durán, Denys Dutykh, Dimitrios Mitsotakis
In 1967 D. H. Peregrine proposed a Boussinesq-type model for long waves in shallow waters of varying depth. This prominent paper turned a new leaf in coastal hydrodynamics along wi…