3 papers
math.AP2026
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…
math.AP2025
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…
math.AP2024
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…