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math.AP2026
Local Invariant Structures in the Dynamics of Capillary Water Jet
Chengyang Shao, Haocheng Yang
Physical experiments show that a capillary water jet is exponentially unstable under long wave perturbations, while remaining stable under short wave perturbations. Measurements in…
math.AP2025
Global well-posedness of a 2D fluid-structure interaction problem with free surface
Thomas Alazard, Chengyang Shao, Haocheng Yang
This paper is devoted to the analysis of the incompressible Euler equation in a time-dependent fluid domain, whose interface evolution is governed by the law of linear elasticity.…
math.AP2024
Cauchy Problem for Cylinder-like Capillary Jets
Haocheng Yang
The motion of liquid jets plays an important role in physics and engineering, and needs rigorous mathematical investigations. Recently, Huang-Karakhanyan proved the first local wel…