5 papers
Hydroelastic waves near shear flows
Jian Li, Shaojie Yang
In this paper, we prove that symmetric, doubly-periodic, three-dimensional hydroelastic waves of small amplitude, bifurcating from a non-uniform shear flow, are necessarily two-dim…
Stabilization of hydroelastic waves in deep water
Jian Li, Shaojie Yang
We consider the stabilization of two-dimensional periodic hydroelastic waves in deep water beneath a massless nonlinear Cosserat sheet by means of a localized pres- sure feedback.…
Harmonic maps and 2D Boussinesq equations
Jian Li, Shaojie Yang
Within the framework of Lagrangian variables, we develop a method for deriving explicit solutions to the 2D Boussinesq equations using harmonic mapping theory. By reformulating the…
Kinetic energy properties of irrotational deep-water Stokes waves
Jian Li, Shaojie Yang
We investigate kinetic energy properties of an irrotational deep-water Stokes wave. By introducing a conformal hodograph transform, we perform complex analysis in the new variables…
Kinetic energy and streamline properties for irrotational equatorial wind waves
Jian Li, Shaojie Yang
In this paper, we investigate kinetic energy and streamline properties for an irrotational periodic geophysical traveling surface water waves propagating in equatorial oceanic regi…