@article{Wang2025, 
author = {Zhigang Wang},
title = {Serrin-type blowup Criterion for the degenerate compressible Navier-Stokes equations},
year = {2025},
journal = {Communications in Analysis and Mechanics},
volume = {17},
number = {1},
pages = {145-158},
keywords = {classical solutions, degenerate viscosity, Compressible Navier–Stokes equations, far-field vacuum, Serrin-type blowup Criterion},
url = {https://www.sciopen.com/article/10.3934/cam.2025007},
doi = {10.3934/cam.2025007},
abstract = {In this paper, we consider the Cauchy problem of the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities. When the shear and bulk viscosity coefficients are both given as a constant multiple of the mass density's power (       ρ    δ   with    δ  >  1), we show that the        L          ∞       norms of    ∇  u,    ∇      ρ                            γ          −          1                2             and    ∇      ρ                            δ          −          1                2             control the possible breakdown of classical solutions with far-field vacuum; this criterion is analogous to Serrin's blowup criterion for the compressible Navier–Stokes equations.}
}