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math.AP2023
Para-differential Calculus on Compact Lie Groups and Spherical Capillary Water Waves
Chengyang Shao
This paper provides a para-differential calculus toolbox on compact Lie groups and homogeneous spaces. It helps to understand non-local, nonlinear partial differential operators wi…
math.AP2023
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…