2 citations · 4 across the 5 of their papers we have counts for
6 papers
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…
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.…
Paracomposition Operators and Paradifferential Reducibility
Thomas Alazard, Chengyang Shao
Reducibility methods, aiming to simplify systems by conjugating them to those with constant coefficients, are crucial for studying the existence of quasiperiodic solutions. In KAM…
KAM via Standard Fixed Point Theorems
Thomas Alazard, Chengyang Shao
With a mere usage of well-established properties of para-differential operators, the conjugacy equations in several model KAM problems are converted to para-homological equations s…
On the Cauchy Problem of Spherical Capillary Water Waves
Chengyang Shao
The spherical capillary water waves equation describes the motion of an almost spherical water droplet under zero gravity governed by water-air interface tension. Using para-differ…
Toolbox of Para-differential Calculus on Compact Lie Groups
Chengyang Shao
This paper provides a toolbox of para-differential calculus on compact Lie groups. The toolbox is based on representation theory of compact Lie groups and contains exact formulas o…