| Abstract: |
| We are concerned with the long-time behavior of classical solutions to the isentropic compressible Navier-Stokes equations in $\mathbb R^3$. Under the assumption that the density is uniformly bounded, we establish the global stability of classical solutions to the isentropic compressible Navier-Stokes equations. The main ingredient of the proof relies on the techniques involving blow-up criterion, a key time-independent positive upper and lower bounds of the density, and a regularity interpolation trick. |
|