31 citations · 79 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Gravity water flows with discontinuous vorticity and stagnation points
Calin Iulian Martin, Bogdan-Vasile Matioc
We construct small-amplitude steady periodic gravity water waves arising as the free surface of water flows that contain stagnation points and possess a discontinuous distribution…
Steady periodic water waves with unbounded vorticity: equivalent formulations and existence results
Calin Iulian Martin, Bogdan-Vasile Matioc
In this paper we consider the steady water wave problem for waves that possess a merely integrable vorticity, with being arbitrary. We first establish the eq…
Existence of capillary-gravity water waves with piecewise constant vorticity
Calin Iulian Martin, Bogdan--Vasile Matioc
In this paper we construct periodic capillarity-gravity water waves with a piecewise constant vorticity distribution. They describe water waves traveling on superposed linearly she…
The Generalized Dock Problem
Calin Iulian Martin
We show existence and uniqueness for a linearized water wave problem in a two dimensional domain with corner, formed by two semi-axis and which intersect under an a…