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20102021
most citedGlobal Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier-Stokes Equations with Vacuum

146 citations · 828 across the 21 of their papers we have counts for

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Showing 2010 · math-phShow all

3 papers · 2 filters

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…