The trajectories of particles in Stokes waves |
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| Authors: | Adrian Constantin |
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| Institution: | (1) School of Mathematics, Trinity College, Dublin, 2, Ireland;(2) Department of Mathematics, Lund University, PO Box 118, 22100 Lund, Sweden |
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| Abstract: | Analyzing a free boundary problem for harmonic functions we show that there are no closed particle paths in an irrotational inviscid traveling wave propagating at the surface of water over a flat bed: within a period each particle experiences a backward-forward motion with a slight forward drift. Mathematics Subject Classification (2000) 76B15, 35J67, 37J35 |
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