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