Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610516 | Journal of Differential Equations | 2014 | 40 Pages |
Abstract
In this paper, we prove that the 1D Cauchy problem of the compressible Navier–Stokes equations admits a unique global classical solution (ρ,u)(ρ,u) if the viscosity μ(ρ)=1+ρβμ(ρ)=1+ρβ with β⩾0β⩾0. The initial data can be arbitrarily large and may contain vacuum. Some new weighted estimates of the density and velocity are obtained when deriving higher order estimates of the solution.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Quansen Jiu, Mingjie Li, Yulin Ye,