Constantin, Adrian Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity. (English) Zbl 1282.35283 Commun. Pure Appl. Anal. 11, No. 4, 1397-1406 (2012). 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. Cited in 14 Documents 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) Keywords:water waves; discontinuous vorticity; dispersion relation PDFBibTeX XMLCite \textit{A. Constantin}, Commun. Pure Appl. Anal. 11, No. 4, 1397--1406 (2012; Zbl 1282.35283) Full Text: DOI