An exact solution for geophysical equatorial edge waves over a sloping beach

AV Matioc - Journal of Physics A: Mathematical and Theoretical, 2012 - iopscience.iop.org
An exact solution for geophysical equatorial edge waves over a sloping beach - IOPscience
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On stratified steady periodic water waves with linear density distribution and stagnation points

J Escher, AV Matioc, BV Matioc - Journal of Differential Equations, 2011 - Elsevier
We use bifurcation theory to construct small periodic gravity stratified water waves with
density which depends linearly upon the pseudostream function. As a special feature the …

Global bifurcation of capillary–gravity-stratified water waves

D Henry, AV Matioc - Proceedings of the Royal Society of Edinburgh …, 2014 - cambridge.org
We study steady periodic water waves with variable vorticity and density, where we allow for
stagnation points in the flow, and where we admit the capillarity effects of surface tension …

On the existence of steady periodic capillary-gravity stratified water waves

D Henry, BV Matioc - Annali della Scuola Normale Superiore di Pisa …, 2013 - numdam.org
We prove the existence of small steady periodic capillary-gravity water waves for stratified
flows, where we allow for stagnation points in the flow. We establish the existence of both …

Large amplitude steady periodic waves for fixed-depth rotational flows

D Henry - Communications in Partial Differential Equations, 2013 - Taylor & Francis
We consider steady periodic water waves with vorticity which propagate over a flat bed with
a specified fixed mean-depth d> 0. Following a novel reformulation of the governing …

Steady periodic waves bifurcating for fixed-depth rotational flows

D Henry - Quarterly of Applied Mathematics, 2013 - ams.org
We consider steady periodic water waves for rotational flows with a specified fixed depth
over a flat bed. We construct a modified height function, which explicitly introduces the mean …

Analyticity of rotational traveling gravity two‐layer waves

J Chu, LJ Wang - Studies in Applied Mathematics, 2021 - Wiley Online Library
The aim of this paper is to prove real analytic properties of all streamlines of two‐
dimensional steady rotational gravity water waves in two‐layer flows. Provided that there are …

Analyticity of the free surface for periodic travelling capillary-gravity water waves with vorticity

D Henry - Journal of Mathematical Fluid Mechanics, 2012 - Springer
For capillary-gravity water waves with vorticity, in the absence of stagnation points, we prove
that if the vorticity function has a Hölder continuous derivative then the free surface will be …

On the symmetry of periodic gravity water waves with vorticity

AV Matioc, BV Matioc - 2013 - projecteuclid.org
We study the a priori symmetry of periodic gravity water waves with arbitrarily many crests
and troughs, and general vorticity distributions. We show that if all the streamlines achieve …

ON THE REGULARITY OF STEADY PERIODIC STRATIFIED WATER WAVES.

D Henry, BV Matioc - Communications on Pure & Applied …, 2012 - search.ebscohost.com
In this paper we prove regularity results for steady periodic stratified water waves, where we
allow for the effects of surface tension. Our results concern stratified water waves, without …