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Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity. (English) Zbl 1282.35283

Summary: In the absence of stagnation points, we derive the dispersion relation for periodic travelling waves of small amplitude propagating at the surface of water with a layer of constant vorticity adjacent to the flat bed within an irrotational flow.

MSC:

35Q31 Euler equations
76D33 Waves for incompressible viscous fluids
34B05 Linear boundary value problems for ordinary differential equations
12D10 Polynomials in real and complex fields: location of zeros (algebraic theorems)
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