39 citations · 48 across the 5 of their papers we have counts for
5 papers
Flow kinematics for equatorial coupled surface and internal waves
David Henry, Rossen Ivanov, Gabriele Villari
We study the propagation of coupled surface and internal equatorial internal waves. A model of two vertically stratified fluid layers with different constant densities is employed.…
Steady water waves with multiple critical layers: interior dynamics
Mats Ehrnström, Joachim Escher, Gabriele Villari
We study small-amplitude steady water waves with multiple critical layers. Those are rotational two-dimensional gravity-waves propagating over a perfect fluid of finite depth. It i…
Linear water waves with vorticity: rotational features and particle paths
Mats Ehrnstrom, Gabriele Villari
Steady linear gravity waves of small amplitude travelling on a current of constant vorticity are found. For negative vorticity we show the appearance of internal waves and vortices…
Qualitative analysis of phase--portrait for a class of planar vector fields via the comparison method
Timoteo Carletti, Lilia Rosati, Gabriele Villari
The phase--portrait of the second order differential equation: is studied. Some results concerning existence, non--existence and uniquen…
A note on existence and uniqueness of limit cycles for Liénard systems
Timoteo Carletti, Gabriele Villari
We consider the Liénard equation and we give a sufficient condition to ensure existence and uniqueness of limit cycles. We compare our result with some other existing ones and we g…