57 citations · 106 across the 17 of their papers we have counts for
17 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…
Low mach Number Limit of the Viscous and Heat Conductive Flow with general pressure law on torus
Yuhan Chen, Guilong Gui, Zhen Hao +1
We prove the low Mach number limit from compressible Navier-Stokes-Fourier system with the general pressure law around a constant state on the torus . We view this…
Construction of low regularity strong solutions to the viscous surface wave equations
Guilong Gui, Yancan Li
We construct in the paper the low-regularity strong solutions to the viscous surface wave equations in anisotropic Sobolev spaces. Here we use the Lagrangian structure of the syste…
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…