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A geometric approach to generalized Stokes conjectures

By Eugen Varvaruca and Georg S. Weiss


We consider the Stokes conjecture concerning the shape of extreme\ud two-dimensional water waves. By new geometric methods including a\ud nonlinear frequency formula, we prove the Stokes conjecture in the original\ud variables. Our results do not rely on structural assumptions needed in previous\ud results such as isolated singularities, symmetry and monotonicity. Part of\ud our results extends to the mathematical problem in higher dimensions

Publisher: Springer
Year: 2011
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