31 citations · 79 across the 8 of their papers we have counts for
11 papers
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…
Hamiltonian approach to modelling interfacial internal waves over variable bottom
Rossen I. Ivanov, Calin I. Martin, Michail D. Todorov
We study the effects of an uneven bottom on the internal wave propagation in the presence of stratification and underlying non-uniform currents. Thus, the presented models incorpor…
Capillary-Gravity Water Waves: Modified Flow Force Formulation
Biswajit Basu, Calin Iulian Martin
The classical irrotational capillary-gravity water wave problem described by the Euler equations with a nonlinear free surface boundary condition over a flat bed is considered. A m…
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…