Power-law singularities in gravity-capillary waves

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Abstract

Strongly driven waves break and lead to local singularities. Parametrically forced standing waves (Faraday waves) may break leading to a local power-law divergence on the free surface. We experimentally explore this state for its local structure, time dynamics and threshold for creation. A local analytical model for the surface height compares favorably with image sequences taken of individual events.

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