Abstract
The asymptotic behavior of the linearized semigroup at spatially periodic stationary solution of the compressible Navier–Stokes equation in a periodic layer of Rn(n= 2 , 3) is investigated. It is shown that if the Reynolds and Mach numbers are sufficiently small, then the linearized semigroup is decomposed into two parts; one behaves like a solution of an n- 1 dimensional linear heat equation as time goes to infinity and the other one decays exponentially.
| Original language | English |
|---|---|
| Pages (from-to) | 739-772 |
| Number of pages | 34 |
| Journal | Journal of Mathematical Fluid Mechanics |
| Volume | 19 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Dec 1 2017 |
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- Condensed Matter Physics
- Computational Mathematics
- Applied Mathematics
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Enomoto, S., & Kagei, Y. (2017). Asymptotic Behavior of the Linearized Semigroup at Space-Periodic Stationary Solution of the Compressible Navier–Stokes Equation. Journal of Mathematical Fluid Mechanics, 19(4), 739-772. https://doi.org/10.1007/s00021-016-0304-3