55 citations · 182 across the 40 of their papers we have counts for
7 papers · 1 filter
Non-uniform continuity of the flow map for an evolution equation modeling shallow water waves of moderate amplitude
N. Duruk Mutlubas, A. Geyer, B. V. Matioc
We prove that the flow map associated to a model equation for surface waves of moderate amplitude in shallow water is not uniformly continuous in the Sobolev space with $s>3/…
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…
Capillary-gravity water waves with discontinuous vorticity: existence and regularity results
Anca-Voichita matioc, Bogdan-Vasile Matioc
In this paper we construct periodic capillarity-gravity water waves with an arbitrary bounded vorticity distribution. This is achieved by reexpressing, in the height function formu…
On the analyticity of periodic gravity water waves with integrable vorticity function
Joachim Escher, Bogdan-Vasile Matioc
We prove that the streamlines and the profile of periodic gravity water waves traveling over a flat bed with wavespeed which exceeds the horizontal velocity of all fluid particles…
On the existence of steady periodic capillary-gravity stratified water waves
David Henry, Bogdan-Vasile Matioc
We prove the existence of small steady periodic capillary-gravity water waves for general stratified flows, where we allow for stagnation points in the flow. We establish the exist…
Steady-state fingering patterns for a periodic Muskat problem
Mats Ehrnstrom, Joachim Escher, Bogdan-Vasile Matioc
We study global bifurcation branches consisting of stationary solutions of the Muskat problem. It is proved that the steady-state fingering patterns blow up as the surface tension…