期刊
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
卷 57, 期 4, 页码 481-527出版社
WILEY
DOI: 10.1002/cpa.3046
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We consider the classical water wave problem described by the Euler equations with a free surface under the influence of gravity over a flat bottom. We construct two-dimensional inviscid periodic traveling waves with vorticity. They are symmetric waves whose profiles are monotone between each crest and trough. We use bifurcation and degree theory to construct a global connected set of such solutions. (C) 2004 Wiley Periodicals, Inc.
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