A new operator generalizing the Dirichlet-Neumann operator to constant-vorticity flows over arbitrary bottoms is analyzed, and local well-posedness for the resulting water-wave system is proved.
Control of water waves
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Two-dimensional water waves with constant vorticity and general bottom topography
A new operator generalizing the Dirichlet-Neumann operator to constant-vorticity flows over arbitrary bottoms is analyzed, and local well-posedness for the resulting water-wave system is proved.