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math.NA2026
A Fourier-Aware Projection-Based Periodic Parareal Method for Time-Periodic Problems
Chenyi Tan, Yuncheng Xu, Yehao Zhang +1
Time-periodic problems arise when the desired solution is a periodic steady state rather than a transient trajectory. The periodic parareal algorithm with a periodic coarse problem…
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…