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math.AP2026
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…
math.AP2026
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…
math.AP2026
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…