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 (US) |
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Pages (from-to) | 1279-1296 |
Number of pages | 18 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 51 |
Issue number | 2 |
DOIs | |
State | Published - Jan 1 2019 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Computational Mathematics
- Applied Mathematics
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Green function of Orr-Sommerfeld equations away from critical layers. / Grenier, Emmanuel; Nguyen, Toan T.
In: SIAM Journal on Mathematical Analysis, Vol. 51, No. 2, 01.01.2019, p. 1279-1296.Research output: Contribution to journal › Article
TY - JOUR
T1 - Green function of Orr-Sommerfeld equations away from critical layers
AU - Grenier, Emmanuel
AU - Nguyen, Toan T.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85065503226&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85065503226&partnerID=8YFLogxK
U2 - 10.1137/16M1089587
DO - 10.1137/16M1089587
M3 - Article
AN - SCOPUS:85065503226
VL - 51
SP - 1279
EP - 1296
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 2
ER -