{ "id": "0707.2221", "version": "v1", "published": "2007-07-15T16:51:27.000Z", "updated": "2007-07-15T16:51:27.000Z", "title": "On some properties of travelling water waves with vorticity", "authors": [ "Eugen Varvaruca" ], "journal": "SIAM J. Math. Anal., 39 (2008), 1686-1692", "categories": [ "math.AP" ], "abstract": "We prove that for a large class of vorticity functions the crest of a corresponding travelling water wave is necessarily a point of maximal horizontal velocity. We also show that for waves with nonpositive vorticity the pressure in the flow is everywhere larger than the atmospheric pressure. A related a priori estimate for waves with nonnegative vorticity is also given.", "revisions": [ { "version": "v1", "updated": "2007-07-15T16:51:27.000Z" } ], "analyses": { "keywords": [ "properties", "maximal horizontal velocity", "corresponding travelling water wave", "vorticity functions", "large class" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0707.2221V" } } }