3 papers
math.AP2018
Propagation of singularities for gravity-capillary water waves
Hui Zhu
We obtain two results of propagation for solutions to the gravity-capillary water wave system. First we show how oscillations and the spatial decay propagate at infinity; then we s…
math.AP2017
Control of three dimensional water waves
Hui Zhu
We study the exact controllability for spatially periodic water waves with surface tension, by localized exterior pressures applied to free surfaces. We prove that in any dimension…
math.AP2016
Stabilization of Damped Waves on Spheres and Zoll Surfaces of Revolution
Hui Zhu
We study the strong stabilization of wave equations on some sphere-like manifolds, with rough damping terms which do not satisfy the geometric control condition posed by Rauch-Tayl…