12 citations · 33 across the 15 of their papers we have counts for
16 papers
Global well-posedness of 2-D incompressible anisitropic Navier-Stokes equations with variable density
Hammadi Abidi, Guilong Gui, Ping Zhang
We establish the global well-posedness for two-dimensional inhomogeneous, incompressible, anisotropic Navier-Stokes systems. Two specific models are analyzed: one with partial diss…
Global well-posedness of 3-D density-dependent incompressible MHD equations with variable resistivity
Hammadi Abidi, Guilong Gui, Ping Zhang
In this paper, we investigate the global existence of weak solutions to 3-D inhomogeneous incompressible MHD equations with variable viscosity and resistivity, which is sufficientl…
Global refined Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes equations with large density
Hammadi Abidi, Guilong Gui, Ping Zhang
We investigate the global unique Fujita-Kato solution to the 3-D inhomogeneous incompressible Navier-Stokes equations with initial velocity being sufficiently small in critic…
On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces
Hammadi Abidi, Guilong Gui, Ping Zhang
In this paper, we establish the global existence and uniqueness of solution to -D inhomogeneous incompressible Navier-Stokes equations \eqref{1.2} with initial data in the criti…
Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion
Hammadi Abidi, Guilong Gui, Xueli Ke
Consideration in this paper is the global well-posedness for the 3D axisymmetric MHD equations with only vertical dissipation and vertical magnetic diffusion. The existence of uniq…
Global well-posedness for the 2-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces
Hammadi Abidi, Guilong Gui
Without any smallness assumption, we prove the global unique solvability of the 2-D incompressible inhomogeneous Navier-Stokes equations with initial data in the critical Besov spa…