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20102026
most citedGlobal Strong solution with vacuum to the 2D nonhomogeneous incompressible MHD system

144 citations · 268 across the 23 of their papers we have counts for

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math.AP2026

Asymptotic stability of Landau solutions to the MHD system and energy decay

Nicola De Nitti, Yun Wang, Shaoheng Zhang

We consider the three-dimensional incompressible MHD system. Any weak solution satisfying a strong energy inequality is -asymptotically stable around a Landau solution. Under…

math.AP2023

Rigidity of Steady Solutions to the Navier-Stokes Equations in High Dimensions and its applications

Jeaheang Bang, Changfeng Gui, Hao Liu +2

Solutions with scaling-invariant bounds such as self-similar solutions, play an important role in the understanding of the regularity and asymptotic structures of solutions to the…

math.AP2023

Uniqueness and uniform structural stability of Poiseuille flows with large fluxes in two-dimensional strips

Kaijian Sha, Yun Wang, Chunjing Xie

In this paper, we prove the uniform nonlinear structural stability of Poiseuille flows with suitably large flux for the steady Navier-Stokes system in a two-dimensional strip with…

math.AP2022★ 1 cited

On the Steady Navier-Stokes system with Navier slip boundary conditions in two-dimensional channels

Kaijian Sha, Yun Wang, Chunjing Xie

In this paper, we investigate the incompressible steady Navier-Stokes system with Navier slip boundary condition in a two-dimensional channel. As long as the width of cross-section…

math.AP2022★ 1 cited

On the Leray problem for steady flows in two-dimensional infinitely long channels with slip boundary conditions

Kaijian Sha, Yun Wang, Chunjing Xie

In this paper, we investigate the Leray problem for steady Navier-Stokes system under full slip boundary conditions in a two dimensional channel with straight outlets. The existenc…

math.AP2021

Uniqueness and uniform structural stability of Poiseuille flows in an infinitely long pipe with Navier boundary conditions

Yun Wang, Chunjing Xie

In this paper, uniqueness and uniform structural stability of Poiseuille flows in an infinitely long pipe with Navier boundary conditions are established for axisymmetric solutions…