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Zbl 1108.76013
Constantin, Adrian
The trajectories of particles in Stokes waves. (English)
[J] Invent. Math. 166, No. 3, 523-535 (2006). ISSN 0020-9910; ISSN 1432-1297/e

Summary: 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.
MSC 2000:
*76B15 Wave motions (fluid mechanics)
35Q35 Other equations arising in fluid mechanics

Keywords: free boundary problem; harmonic functions

Cited in: Zbl 1157.35449

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