88 citations · 430 across the 45 of their papers we have counts for
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Critical one component anisotropic regularity for 3-D Navier-Stokes system
Yanlin Liu, Ping Zhang
Let us consider an initial data for the classical 3D Navier-Stokes equation with vorticity belonging to . We prove that if the solution associated with…
Striated Regularity of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscosity
Marius Paicu, Ping Zhang
In this paper, we investigate the global existence and uniqueness of strong solutions to 2D incompressible inhomogeneous Navier-Stokes equations with viscous coefficient depending…
Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient
Yanlin Liu, Ping Zhang
In this paper, we first prove the global well-posedness of 3-D anisotropic Navier-Stokes system provided that the vertical viscous coefficient of the system is sufficiently large c…
On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component
Yanlin Liu, Ping Zhang
In this paper, we prove the local well-posedness of 3-D axi-symmetric Navier-Stokes system with initial data in the critical Lebesgue spaces. We also obtain the global well-posedne…
Large time behavior of solutions to 3-D MHD system with initial data near equilibrium
Wen Deng, Ping Zhang
In \cite{ChCa}, Califano and Chiuderi conjectured that the energy of incompressible Magnetic hydrodynamical system is dissipated at a rate that is independent of the ohmic resistiv…