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math.AP2023
Well-posedness of Navier-Stokes/Cahn-Hilliard equations modeling the dynamics of contact line in a channel
Shijin Ding, Yinghua Li, Zhilin Lin +1
In this paper, we study the contact line problem in a channel. Precisely, we consider the incompressible Navier-Stokes/Cahn-Hilliard system with eneralized Navier boundary conditio…
math.AP2023
Nonlinear stability for 3-D plane Poiseuille flow in a finite channel
Qi Chen, Shijin Ding, Zhilin Lin +1
In this paper, we study the nonlinear stability for the 3-D plane Poiseuille flow at high Reynolds number in a finite channel $\mathbb{T}\times [-1,1 ]\times \ma…