Nonlinear two-dimensional water waves with arbitrary vorticity

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

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Green's functions. Construction and applications
Periodic equatorial water flows from a Hamiltonian perspective
Numerical simulation of gravity waves
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Variational water-wave model with accurate dispersion and vertical vorticity
Nearly-Hamiltonian structure for water waves with constant vorticity
The Hamiltonian structure for dynamic free boundary problems
Hamiltonian long-wave approximations to the water-wave problem
Interacting two-dimensional vortex structures: Point vortices, contour kinematics and stirring properties
A Hamiltonian formulation of water waves with constant vorticity
Groups of diffeomorphisms and the motion of an incompressible fluid
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Impulse, Flow Force and Variational Principles
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A note regarding ‘On Hamilton's principle for surface waves’
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Hamiltonian long‐wave expansions for free surfaces and interfaces
Equatorial wave-current interactions