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20032026
most citedGlobal Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier-Stokes Equations with Vacuum

146 citations · 1.2k across the 77 of their papers we have counts for

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Showing 2012 · math.APShow all

5 papers · 2 filters

math.AP2012★ 8 cited

Global classical solutions to the two-dimensional compressible Navier-Stokes equations in

Quansen Jiu, Yi Wang, Zhouping Xin

In this paper, we prove the global well-posedness of the classical solution to the 2D Cauchy problem of the compressible Navier-Stokes equations with arbitrarily large initial data…

math.AP2012★ 4 cited

Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces

Quansen Jiu, Yi Wang, Zhouping Xin

In this paper, we study the global well-posedness of classical solution to 2D Cauchy problem of the compressible Navier-Stokes equations with large initial data and vacuum. It is p…

math.AP2012★ 16 cited

On 3D Lagrangian Navier-Stokes model with a Class of Vorticity-Slip Boundary conditions

Yuelong Xiao, Zhouping Xin

This paper concerns the 3-dimensional Lagrangian Navier-Stokes model and the limiting Navier-Stokes system on smooth bounded domains with a class of vorticity-slip boundary con…

math.AP2012★ 3 cited

Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum

Quansen Jiu, Yi Wang, Zhouping Xin

In this paper, we study the global well-posedness of the 2D compressible Navier-Stokes equations with large initial data and vacuum. It is proved that if the shear viscosity is…

math.AP2012★ 51 cited

Vanishing Viscous Limits for 3D Navier-Stokes Equations with A Navier-Slip Boundary Condition

Lizhen Wang, Zhouping Xin, Aibin Zang

In this paper, we investigate the vanishing viscosity limit for solutions to the Navier-Stokes equations with a Navier slip boundary condition on general compact and smooth domains…