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Physics > Fluid Dynamics
Title: Self-similarity and recurrence in stability spectra of near-extreme Stokes waves
(Submitted on 23 Apr 2024)
Abstract: We consider steady surface waves in an infinitely deep two--dimensional ideal fluid with potential flow, focusing on high-amplitude waves near the steepest wave with a 120 degree corner at the crest. The stability of these solutions with respect to coperiodic and subharmonic perturbations is studied, using new matrix-free numerical methods. We provide evidence for a plethora of conjectures on the nature of the instabilities as the steepest wave is approached, especially with regards to the self-similar recurrence of the stability spectrum near the origin of the spectral plane.
Submission history
From: Anastassiya Semenova [view email][v1] Tue, 23 Apr 2024 19:48:57 GMT (1381kb)
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