31 citations · 79 across the 8 of their papers we have counts for
5 papers · 1 filter
Three-layer water flows: Dirichlet-Neumann operators and approximations
Rossen Ivanov, Calin-Iulian Martin
The object of investigation in this paper are the nonlinear equations of motion for two-dimensional inviscid water flows with piecewise constant density stratification in a three-l…
Explicit and exact solutions concerning the Antarctic Circumpolar Current with variable density in spherical coordinates
Calin Iulian Martin, Ronald Quirchmayr
We use spherical coordinates to devise a new exact solution to the governing equations of geophysical fluid dynamics for an inviscid and incompressible fluid with a general density…
A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current
Calin Iulian Martin, Ronald Quirchmayr
We construct an explicit steady stratified purely azimuthal flow for the governing equations of geophysical fluid dynamics. These equations are considered in a setting that applies…
On the time-evolution of resonant triads in rotational capillary-gravity water waves
Rossen I. Ivanov, Calin I. Martin
We investigate an effect of the resonant interaction in the case of one-directional propagation of capillary-gravity surface waves arising as the free surface of a rotational water…
Surface waves over currents and uneven bottom
Alan C. Compelli, Rossen I. Ivanov, Calin I. Martin +1
The propagation of surface water waves interacting with a current and an uneven bottom is studied. Such a situation is typical for ocean waves where the winds generate currents in…