2 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
Longtime Dynamics of Irrotational Spherical Water Drops: Initial Notes
Chengyang Shao
In this note, we propose several unsolved problems concerning the irrotational oscillation of a water droplet under zero gravity. We will derive the governing equation of this phys…
Strichartz and Multi-linear Estimates for the One-dimensional Periodic Dysthe equation
Garrett Heller, Chengyang Shao
This paper presents Strichartz estimates for the linearized 1D periodic Dysthe equation on the torus, namely estimate of the norm of the solution in terms…