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8 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…
Rotational flow underlying coupled surface and internal waves. I: Eulerian perspective
David Henry, Rossen I. Ivanov, Zisis N. Sakellaris
In this paper we examine the flow generated by coupled surface and internal small-amplitude water waves in a two-fluid layer model, where we take the upper layer to be rotational (…
Modelling surface waves on shear current with quadratic depth-dependence
Conor Curtin, Rossen Ivanov
The currents in the ocean have a serious impact on ocean dynamics, since they affect the transport of mass and thus the distribution of salinity, nutrients and pollutants. In many…
The Lagrangian formulation for wave motion with a shear current and surface tension
Conor T. Curtin, Rossen I. Ivanov
The Lagrangian formulation for the irrotational wave motion is straightforward and follows from a Lagrangian functional which is the difference between the kinetic and the potentia…
Hamiltonian description of internal ocean waves with Coriolis force
Joseph Cullen, Rossen Ivanov
The interfacial internal waves are formed at the pycnocline or thermocline in the ocean and are influenced by the Coriolis force due to the Earth's rotation. A derivation of the mo…
On the intermediate long wave propagation for internal waves in the presence of currents
Joseph Cullen, Rossen Ivanov
A model for the wave motion of an internal wave in the presence of current in the case of intermediate long wave approximation is studied. The lower layer is considerably deeper, w…