3 papers
physics.flu-dyn2019
Traveling capillary waves on the boundary of a disc
Sergey A. Dyachenko
We find a new class of solutions that are traveling waves on the boundary of two--dimensional droplet of ideal fluid. We assume that the free surface is subject only to the force o…
physics.flu-dyn2019
Stokes waves in a constant vorticity flow
Sergey A. Dyachenko, Vera Mikyoung Hur
The Stokes wave problem in a constant vorticity flow is formulated via a conformal mapping as a modified Babenko equation. The associated linearized operator is self-adjoint, where…
physics.flu-dyn2019
Stokes waves with constant vorticity: II. folds, gaps and fluid bubbles
Sergey A. Dyachenko, Vera Mikyoung Hur
The Stokes wave problem in a constant vorticity flow is formulated, by virtue of conformal mapping techniques, as a nonlinear pseudodifferential equation, involving the periodic Hi…