12 citations · 41 across the 9 of their papers we have counts for
9 papers
Stability of the boundary layer expansion for the 3D plane parallel MHD flow
Shijin Ding, Zhilin Lin, Dongjuan Niu
In this paper, we establish the mathematical validity of the Prandtl boundary layer theory for a class of nonlinear plane parallel flows of viscous incompressible magnetohydrodynam…
Boundary layer for 3D plane parallel channel flows of nonhomogeneous incompressible Navier-Stokes equations
Shijin Ding, Zhilin Lin, Dongjuan Niu
In this paper, we establish the mathematical validity of the Prandtl boundary layer theory for a class of nonlinear plane parallel flow of nonhomogeneous incompressible Navier-Stok…
The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry
Quansen Jiu, Milton C. Lopes Filho, Dongjuan Niu +1
In this paper, we are concerned with the vanishing viscosity problem for the three-dimensional Navier-Stokes equations with helical symmetry, in the whole space. We choose viscosit…
Global well-posedness of three-dimensional Navier-Stokes equations with partial viscosity under helical symmetry
Jitao Liu, Dongjuan Niu
In this paper, we investigate the global well-posedness of three-dimensional Navier-Stokes equations with horizontal viscosity under a special symmetric structure: helical symmetry…
Global existence of weak solutions to the 3D incompressible axisymmetric Euler equations without swirl
Quansen Jiu, Jitao Liu, Dongjuan Niu
In this paper, we mainly investigate the tridimensional incompressible axisymmetric Euler equations without swirl in the whole space. Specifically, we prove the global existence of…
Planar limits of three-dimensional incompressible flows with helical symmetry
Milton C. Lopes Filho, Anna L. Mazzucato, Dongjuan Niu +2
Helical symmetry is invariance under a one-dimensional group of rigid motions generated by a simultaneous rotation around a fixed axis and translation along the same axis. The key…