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Variational Instability for Irrotational Water Waves in Finite Depth

Kogelbauer, Florian
arXiv (OAI Expanded) · Papers
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analysis-of-pdes
We study the variational stability of solutions to the periodic irrotational gravity water-wave problem in finite depth with fixed conformal mean depth. We derive a finite-depth Plotnikov transformation for the second variation, including the zero-mode correction specific to finite depth. For fixed
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