967 citations · 2.8k across the 45 of their papers we have counts for
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A Boussinesq system for two-way propagation of interfacial waves
Hai Yen Nguyen, Frédéric Dias
The theory of internal waves between two layers of immiscible fluids is important both for its applications in oceanography and engineering, and as a source of interesting mathemat…
Enhancement of the Benjamin-Feir instability with dissipation
Thomas J. Bridges, Frederic Dias
It is shown that there is an overlooked mechanism whereby some kinds of dissipation can enhance the Benjamin-Feir instability of water waves. This observation is new, and although…
Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting
Denys Dutykh, Frederic Dias
In classical tsunami-generation techniques, one neglects the dynamic sea bed displacement resulting from fracturing of a seismic fault. The present study takes into account these d…
Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions
F. Dias, A. I. Dyachenko, V. E. Zakharov
Several theories for weakly damped free-surface flows have been formulated. In this paper we use the linear approximation to the Navier-Stokes equations to derive a new set of equa…
Dissipative Boussinesq equations
Denys Dutykh, Frédéric Dias
The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to ad…