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Fourier decomposition 1parallel-in-time 1parareal method 1projection-based correction 1time-periodic problems 1

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math.AP2026

Existence of pure capillary solitary waves in constant vorticity flows

Ting-Yang Hsiao, Zhengjun Liang, Giang To +1

We prove that the finite-depth pure-capillary rigidity mechanism in the irrotational water-wave problem is destroyed by a suitable constant-vorticity critical shear. More precisely…