Abstract
The classical Orr-Sommerfeld equations are the resolvent equations of the linearized Navier-Stokes equations around a stationary shear layer profile in the half plane. In this paper, we derive pointwise bounds on the Green function of the Orr-Sommerfeld problem away from its critical layers.
| Original language | English |
|---|---|
| Pages (from-to) | 1279-1296 |
| Number of pages | 18 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 51 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2019 |
| Externally published | Yes |
Keywords
- Boundary layers
- Green function
- Instability
- Linearized Navier-Stokes
- Orr-Sommerfeld equations
- Semigroup bounds
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