5 papers
Linear Stability and Jacobi Kernels of Three-Dimensional Sessile Drops
Xiaoding Yang
We consider the linear stability of three-dimensional sessile drops with a free contact line. The equilibrium surface is an axisymmetric solution of the Young--Laplace equation wit…
Global Well-Posedness of sessile drop problem: 2D Navier-Stokes Flow
Xiaoding Yang
We prove the global well-posedness of small perturbations of two-dimensional sessile droplet equilibria for the incompressible Navier--Stokes equations with surface tension, Navier…
Global Well-Posedness of Contact Lines: 2D Navier-Stokes Flow
Yan Guo, Ian Tice, Lei Wu +2
Based on the global a priori estimates in [Guo-Tice, J. Eur. Math. Soc. (2024)], we establish the well-posedness of a viscous fluid model satisfying the dynamic law for the contact…
Global dynamic stability of contact lines in fluids: 2-D droplet problem
Xiaoding Yang
In this paper, we investigate the dynamics of an incompressible viscous Navier-Stokes fluid evolving above a one-dimensional flat surface. The fluid is subject to a uniform gravita…
The steady state of gravity-capillary problem with inclined walls
Xiaoding Yang
The gravity-capillary problem with inclined walls is a problem that describes an open fluid flowing over an angled wall. It has broad applications in science and engineering. In th…