6 papers
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…
An Efficient Energy Stable Structure Preserving Method for The Landau-Lifshitz Equation
Changjian Xie, Yingxi Miao, Haocheng Yang
One of the main difficulties in micromagnetics simulation is the norm preserving constraints at the continuous or the discrete level. Another difficulty is the s…
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…
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…
Microlocal Partition of Energy for Fractional-Type Dispersive Equations
Haocheng Yang
This paper is devoted to the proof of microlocal partition of energy for fractional-type dispersive equations including Schrödinger equation, linearized gravity or capillary water-…