MathDB2 problems
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High-frequency instability conjecture for the nearest isola of Stokes waves
Let denote the dimensionless depth parameter for a small-amplitude Stokes wave, and let the high-frequency instability closest to the origin be the spectral instability associ…
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Spectral instability conjecture for Stokes waves in all depths and wavenumbers
Let a small-amplitude Stokes wave be a periodic traveling-wave solution of the water-wave equations, and call it spectrally unstable if its linearized operator has spectrum with po…