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math.AP2024
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…
math.AP2024
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…