| Abstract: |
| We consider the nonlinear problem of steady gravity-driven waves on the free surface of a two-dimensional flow of an incompressible fluid. We neglect the surface tension and assume a flow to be rotational and also allow interior stagnation points. In the talk we will discuss a recent progress in the theory of small-amplitude steady water waves with vorticity. Such waves are small perturbations of uniform streams with a several counter-currents. In contrast to the irrotational case of zero vorticity, when only Stokes and Solitary waves exist, the class of small-amplitude waves with vorticity includes multi-modal and non-symmetric waves and, possibly, waves with even more complicated geometry. |
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