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Compelli, Alan and Ivanov, Rossen I. 2017. The Dynamics of Flat Surface Internal Geophysical Waves with Currents. Journal of Mathematical Fluid Mechanics, Vol. 19, Issue. 2, p. 329.
Wang, Ling-Jun 2017. Small-amplitude solitary and generalized solitary traveling waves in a gravity two-layer fluid with vorticity. Nonlinear Analysis: Theory, Methods & Applications, Vol. 150, p. 159.
Hsu, Hung-Chu and Tsai, Chia-Cheng 2016. Lagrangian approach to interfacial water waves with free surface. Applied Ocean Research, Vol. 59, p. 616.
Compelli, Alan 2016. Hamiltonian approach to the modeling of internal geophysical waves with vorticity. Monatshefte für Mathematik, Vol. 179, Issue. 4, p. 509.
Lyons, Tony 2016. The Pressure in a Deep-Water Stokes Wave of Greatest Height. Journal of Mathematical Fluid Mechanics, Vol. 18, Issue. 2, p. 209.
Shengtao, Chen Jingjun, Zhong and Peng, Sun 2015. Numerical simulation of the stokes wave for the flow around a ship hull coupled with the VOF model. Journal of Marine Science and Application, Vol. 14, Issue. 2, p. 163.
Godin, Oleg A. 2015. Finite-amplitude acoustic-gravity waves: exact solutions. Journal of Fluid Mechanics, Vol. 767, p. 52.
Martin, Calin Iulian 2015. Dispersion relations for gravity water flows with two rotational layers. European Journal of Mechanics - B/Fluids, Vol. 50, p. 9.
Compelli, Alan 2015. Hamiltonian formulation of 2 bounded immiscible media with constant non-zero vorticities and a common interface. Wave Motion, Vol. 54, p. 115.
Kozlov, Vladimir and Kuznetsov, Nikolay 2014. Dispersion Equation for Water Waves with Vorticity and Stokes Waves on Flows with Counter-Currents. Archive for Rational Mechanics and Analysis, Vol. 214, Issue. 3, p. 971.
Guo, Dali Tao, Bo and Zeng, Xiaohui 2014. On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current. Advances in Mathematical Physics, Vol. 2014, p. 1.
Abd-el-Malek, Mina B. Badran, Nagwa A. Hassan, Hossam S. and Abbas, Heba H. 2013. New solutions for solving problem of particle trajectories in linear deep-water waves via Lie-group method. Applied Mathematics and Computation, Vol. 219, Issue. 24, p. 11365.
Kozlov, Vladimir and Kuznetsov, Nikolay 2013. Steady water waves with vorticity: spatial Hamiltonian structure. Journal of Fluid Mechanics, Vol. 733,
Buffoni, B. and Burton, G. R. 2013. On the stability of travelling waves with vorticity obtained by minimization. Nonlinear Differential Equations and Applications NoDEA, Vol. 20, Issue. 5, p. 1597.
Clamond, Didier and Dutykh, Denys 2012. Practical use of variational principles for modeling water waves. Physica D: Nonlinear Phenomena, Vol. 241, Issue. 1, p. 25.
Kozlov, Vladimir and Kuznetsov, Nikolay 2012. Bounds for steady water waves with vorticity. Journal of Differential Equations, Vol. 252, Issue. 1, p. 663.
Weiss, Georg S. and Zhang, Guanghui 2012. A Free Boundary Approach to Two-Dimensional Steady Capillary Gravity Water Waves. Archive for Rational Mechanics and Analysis, Vol. 203, Issue. 3, p. 747.
Matioc, Anca-Voichita 2012. On particle trajectories in linear deep-water waves. Communications on Pure and Applied Analysis, Vol. 11, Issue. 4, p. 1537.
Hsu, Hung-Chu Ng, Chiu-On and Hwung, Hwung-Hweng 2012. A New Lagrangian Asymptotic Solution for Gravity–Capillary Waves in Water of Finite Depth. Journal of Mathematical Fluid Mechanics, Vol. 14, Issue. 1, p. 79.
Constantin, Adrian 2012. Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity. Communications on Pure and Applied Analysis, Vol. 11, Issue. 4, p. 1397.
For free-surface water flows with a vorticity that is monotone with depth, we show that any critical point of a functional representing the total energy of the flow adjusted with a measure of the vorticity, subject to the constraints of fixed mass and horizontal momentum, is a steady water wave.
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