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math.AP2026
Hydroelastic waves near shear flows
Jian Li, Shaojie Yang
In this paper, we prove that symmetric, doubly-periodic, three-dimensional hydroelastic waves of small amplitude, bifurcating from a non-uniform shear flow, are necessarily two-dim…
math.AP2026
Stabilization of hydroelastic waves in deep water
Jian Li, Shaojie Yang
We consider the stabilization of two-dimensional periodic hydroelastic waves in deep water beneath a massless nonlinear Cosserat sheet by means of a localized pres- sure feedback.…