3 papers
math.AP2025
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…
math.AP2024
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…
math.AP2024
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…