A geometric approach to generalized Stokes conjectures

By Eugen Varvaruca, Georg S. Weiss. 2009

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We consider the Stokes conjecture concerning the shape of extreme 2-dimensional water waves. By new geometric methods including a non-linear 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.

Subfields: Computational Mechanics, Earth-Surface Processes, Oceanography

View Paper: https://www.semanticscholar.org/paper/c122a44667ca764042cd695fcb0b45f73f6adfef

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