A Vacuum Problem for the One-Dimensional Compressible Navier–Stokes Equations with Density-Dependent Viscosity

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Compressible Navier–Stokes Equations with Degenerate Viscosity Coefficient and Vacuum (2002, unknown): “[25].”
Vanishing of Vacuum States and Blow-up Phenomena of the Compressible Navier-Stokes Equations (2008, background): “and the viscosity coeﬃcient vanishes at vacuum. This degeneracy in the viscosity coeﬃcient gives rise to new diﬃculties in analysis because of the less regularizing eﬀect on the solutions. Yang et al [56] ﬁrst obtained a local existence result for this case under the free boundary condition with α&g”
Global Behavior of Compressible Navier-Stokes Equations with a Degenerate Viscosity Coefficient (2006, background): “Makino [14]; Okada [15]; Yang, Yao & Zhu [19]; Yang & Zhao [ 20 ]; Yang & Zhu [21]; Vong, Yang & Zhu [17] and Fang & Zhang [1‐5].”