4 papers · 1 filter
Local Invariant Structures in the Dynamics of Capillary Water Jet
Chengyang Shao, Haocheng Yang
Physical experiments show that a capillary water jet is exponentially unstable under long wave perturbations, while remaining stable under short wave perturbations. Measurements in…
Virial Theorem and Its Applications in Instability of Two-Phase Water-Wave
Haocheng Yang
In this paper, we analyze the dynamics of two layers of immiscible, inviscid, incompressible, and irrotational fluids through a full nonlinear system. Our goal is to establish a vi…
Global well-posedness of a 2D fluid-structure interaction problem with free surface
Thomas Alazard, Chengyang Shao, Haocheng Yang
This paper is devoted to the analysis of the incompressible Euler equation in a time-dependent fluid domain, whose interface evolution is governed by the law of linear elasticity.…
Cauchy Problem for Cylinder-like Capillary Jets
Haocheng Yang
The motion of liquid jets plays an important role in physics and engineering, and needs rigorous mathematical investigations. Recently, Huang-Karakhanyan proved the first local wel…