A geometric approach to generalized Stokes conjecturesVarvaruca, E. and Weiss, G. S. (2011) A geometric approach to generalized Stokes conjectures. Acta Mathematica, 206 (2). pp. 363-403. ISSN 1871-2509 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1007/s11511-011-0066-y Abstract/SummaryWe consider the Stokes conjecture concerning the shape of extreme two-dimensional water waves. By new geometric methods including a nonlinear frequency formula, we prove the Stokes conjecture in the original variables. Our results do not rely on structural assumptions needed in previous results such as isolated singularities, symmetry and monotonicity. Part of our results extends to the mathematical problem in higher dimensions.
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