Derives explicit closed-form instability index for the Benjamin-Feir spectrum of hydroelastic Stokes waves, producing a three-parameter stability diagram in depth, surface tension and bending rigidity that recovers known limits and shows resonance disappearance for b≥1/14 or κ≥1/2.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Rigorous Bloch-Floquet analysis of the Euler equations confirms the Benjamin-Feir instability via figure-eight eigenvalue splitting and yields exact stability regions for gravity-capillary Stokes waves.
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Benjamin-Feir spectrum of hydroelastic Stokes waves
Derives explicit closed-form instability index for the Benjamin-Feir spectrum of hydroelastic Stokes waves, producing a three-parameter stability diagram in depth, surface tension and bending rigidity that recovers known limits and shows resonance disappearance for b≥1/14 or κ≥1/2.
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Spectral structure of the Benjamin-Feir instability in deep-water gravity-capillary Stokes waves
Rigorous Bloch-Floquet analysis of the Euler equations confirms the Benjamin-Feir instability via figure-eight eigenvalue splitting and yields exact stability regions for gravity-capillary Stokes waves.