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Discrete & Continuous Dynamical Systems - A

August 2014 , Volume 34 , Issue 8

Special Issue on Water Waves

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Introduction
Adrian Constantin
2014, 34(8): i-iii doi: 10.3934/dcds.2014.34.8i +[Abstract](707) +[PDF](160.7KB)
One-dimensional weakly nonlinear model equations for Rossby waves
David Henry and Rossen Ivanov
2014, 34(8): 3025-3034 doi: 10.3934/dcds.2014.34.3025 +[Abstract](814) +[PDF](342.5KB)
Recovering surface profiles of solitary waves on a uniform stream from pressure measurements
Hung-Chu Hsu
2014, 34(8): 3035-3043 doi: 10.3934/dcds.2014.34.3035 +[Abstract](701) +[PDF](290.4KB)
Small-amplitude equatorial water waves with constant vorticity: Dispersion relations and particle trajectories
Delia Ionescu-Kruse and Anca-Voichita Matioc
2014, 34(8): 3045-3060 doi: 10.3934/dcds.2014.34.3045 +[Abstract](904) +[PDF](452.2KB)
On the nature of large and rogue waves
Mikhail Kovalyov
2014, 34(8): 3061-3093 doi: 10.3934/dcds.2014.34.3061 +[Abstract](742) +[PDF](7638.6KB)
Particle trajectories in extreme Stokes waves over infinite depth
Tony Lyons
2014, 34(8): 3095-3107 doi: 10.3934/dcds.2014.34.3095 +[Abstract](766) +[PDF](347.8KB)
Dispersion relations for periodic water waves with surface tension and discontinuous vorticity
Calin Iulian Martin
2014, 34(8): 3109-3123 doi: 10.3934/dcds.2014.34.3109 +[Abstract](958) +[PDF](376.9KB)
A characterization of the symmetric steady water waves in terms of the underlying flow
Bogdan-Vasile Matioc
2014, 34(8): 3125-3133 doi: 10.3934/dcds.2014.34.3125 +[Abstract](757) +[PDF](331.2KB)
A boundary integral formulation for particle trajectories in Stokes waves
André Nachbin and Roberto Ribeiro-Junior
2014, 34(8): 3135-3153 doi: 10.3934/dcds.2014.34.3135 +[Abstract](936) +[PDF](979.2KB)
Steady-states and traveling-wave solutions of the generalized Constantin--Lax--Majda equation
Hisashi Okamoto, Takashi Sakajo and Marcus Wunsch
2014, 34(8): 3155-3170 doi: 10.3934/dcds.2014.34.3155 +[Abstract](1054) +[PDF](730.6KB)
Progressive waves on a blunt interface
Michael Stiassnie and Raphael Stuhlmeier
2014, 34(8): 3171-3182 doi: 10.3934/dcds.2014.34.3171 +[Abstract](700) +[PDF](861.3KB)
Internal Gerstner waves on a sloping bed
Raphael Stuhlmeier
2014, 34(8): 3183-3192 doi: 10.3934/dcds.2014.34.3183 +[Abstract](638) +[PDF](313.9KB)
Energy-minimising parallel flows with prescribed vorticity distribution
J. F. Toland
2014, 34(8): 3193-3210 doi: 10.3934/dcds.2014.34.3193 +[Abstract](658) +[PDF](440.0KB)
Non-existence of global energy minimisers in Stokes waves problems
J. F. Toland
2014, 34(8): 3211-3217 doi: 10.3934/dcds.2014.34.3211 +[Abstract](727) +[PDF](143.5KB)
Pressure beneath a traveling wave with constant vorticity
Vishal Vasan and Katie Oliveras
2014, 34(8): 3219-3239 doi: 10.3934/dcds.2014.34.3219 +[Abstract](831) +[PDF](1988.6KB)
Steady stratified periodic gravity waves with surface tension I: Local bifurcation
Samuel Walsh
2014, 34(8): 3241-3285 doi: 10.3934/dcds.2014.34.3241 +[Abstract](897) +[PDF](650.2KB)
Steady stratified periodic gravity waves with surface tension II: Global bifurcation
Samuel Walsh
2014, 34(8): 3287-3315 doi: 10.3934/dcds.2014.34.3287 +[Abstract](989) +[PDF](522.4KB)

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