Abstract
Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a given constant state is investigated on a cylindrical domain in R 3, under the no slip boundary condition for the velocity field. The L2 decay estimate is established for the perturbation from the constant state. It is also shown that the time-asymptotic leading part of the perturbation is given by a function satisfying a 1 dimensional heat equation. The proof is based on an energy method and asymptotic analysis for the associated linearized semigroup.
| Original language | English |
|---|---|
| Pages (from-to) | 987-1026 |
| Number of pages | 40 |
| Journal | Osaka Journal of Mathematics |
| Volume | 45 |
| Issue number | 4 |
| Publication status | Published - Dec 2008 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)