25 citations · 82 across the 7 of their papers we have counts for
7 papers
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…
Benjamin-Ono model of an internal wave under a flat surface
Alan C. Compelli, Rossen I. Ivanov
A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer whi…
Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom
Alan Compelli, Rossen I. Ivanov, Michail D. Todorov
A single incompressible, inviscid, irrotational fluid medium bounded by a free surface and varying bottom is considered. The Hamiltonian of the system is expressed in terms of the…
Solitary Wave Solution of Flat Surface Internal Geophysical Waves with Vorticity
Alan Compelli
A fluid system bounded by a flat bottom and a flat surface with an internal wave and depth-dependent current is considered. The Hamiltonian of the system is presented and the dynam…
The Dynamics of Flat Surface Internal Geophysical Waves with Currents
Alan Compelli, Rossen Ivanov
A two-dimensional water wave system is examined consisting of two discrete incompressible fluid domains separated by a free common interface. In a geophysical context this is a mod…
Hamiltonian Approach to Internal Wave-Current Interactions in a Two-Media Fluid with a Rigid Lid
Alan Compelli, Rossen Ivanov
We examine a two-media 2-dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface with wind generated surface w…
On the dynamics of internal waves interacting with the equatorial undercurrent
Alan Compelli, Rossen Ivanov
The interaction of the nonlinear internal waves with a nonuniform current with a specific form, characteristic for the equatorial undercurrent, is studied. The current has no vorti…