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20092024
most citedGlobal Strong solution with vacuum to the 2D nonhomogeneous incompressible MHD system

144 citations · 711 across the 21 of their papers we have counts for

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6 papers · 1 filter

math-ph2011★ 14 cited

Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations

Xiangdi Huang, Jing Li

We establish the global existence and uniqueness of classical solutions to the three-dimensional full compressible Navier-Stokes system with smooth initial data which are of small…

math-ph2010★ 118 cited

Blowup Criterion for the Compressible Flows with Vacuum States

Xiangdi Huang, Jing Li, Zhouping Xin

We prove that the maximum norm of the deformation tensor of velocity gradients controls the possible breakdown of smooth(strong) solutions for the 3-dimensional compressible Navier…

math-ph2010★ 3 cited

Serrin Type Criterion for the Three-Dimensional Viscous Compressible Flows

Xiangdi Huang, Jing Li, Zhouping Xin

We extend the well-known Serrin's blowup criterion for the three-dimensional (3D) incompressible Navier-Stokes equations to the 3D viscous compressible cases. It is shown that for…

math-ph2010★ 4 cited

Global Well-Posedness of Classical Solutions with Large Oscillations and Vacuum to the Three-Dimensional Isentropic Compressible Navier-Stokes Equations

Xiangdi Huang, Jing Li, Zhouping Xin

We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the isentropic compressible Navier-Stokes equations in three spatial dimensions wi…

math-ph2009★ 102 cited

A Blow-Up Criterion for Classical Solutions to the Compressible Navier-Stokes Equations

Xiangdi Huang, Zhouping Xin

In this paper, we obtain a blow up criterion for classical solutions to the 3-D compressible Naiver-Stokes equations just in terms of the gradient of the velocity, similar to the B…

math-ph2009★ 14 cited

A Blow-Up Criterion for the Compressible Navier-Stokes equations

Xiangdi Huang, Zhouping Xin

In this paper, we obtain a blow up criterion for strong solutions to the 3-D compressible Naveri-Stokes equations just in terms of the gradient of the velocity, similar to the Beal…