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20142020
most citedStability analysis for the incompressible Navier-Stokes equations with Navier boundary conditions

27 citations · 38 across the 5 of their papers we have counts for

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5 papers

math.AP2020★ 11 cited

Rayleigh-Taylor instability for nonhomogeneous incompressible fluids with Navier-slip boundary conditions

Shijin Ding, Zhijun Ji, Quanrong Li

This paper is concerned with the Rayleigh-Taylor instability for the nonhomogeneous incompressible Navier-Stokes equations with Navier-slip boundary conditions around a steady-stat…

math.AP2019

Global well-posedness of the Navier-Stokes equations with Navier-slip boundary conditions in a strip domain

Quanrong Li, Shijin Ding

This paper is concerned with the existence and uniqueness of the strong solution to the incompressible Navier-Stokes equations with Navier-slip boundary conditions in a two-dimensi…

math.AP2018

Symmetrical Prandtl boundary layer expansions of steady Navier-Stokes equations on bounded domain

Shijin Ding, Quanrong Li

This paper is concerned with the validity of the Prandtl boundary layer theory in the inviscid limit of the steady incompressible Navier-Stokes equations, which is an extension of…

math.AP2016★ 27 cited

Stability analysis for the incompressible Navier-Stokes equations with Navier boundary conditions

Shijin Ding, Quanrong Li, Zhouping Xin

This paper concerns the instability and stability of the trivial steady states of the incompressible Navier-Stokes equations with Navier-slip boundary conditions in a slab domain i…

math.AP2014

Local existence of unique strong solution to non-isothermal model for incompressible nematic liquid crystals in 3D

Shijin Ding, Quanrong Li

In this paper, we consider the non-isothermal model for incompressible flow of nematic liquid crystals in three dimensions and prove the local existence and uniqueness of the stron…