Green function of Orr-Sommerfeld equations away from critical layers

Emmanuel Grenier; Toan T. Nguyen

doi:10.1137/16M1089587

Green function of Orr-Sommerfeld equations away from critical layers

Research output: Contribution to journal › Article

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)
Pages (from-to)	1279-1296
Number of pages	18
Journal	SIAM Journal on Mathematical Analysis
Volume	51
Issue number	2
DOIs	https://doi.org/10.1137/16M1089587
State	Published - Jan 1 2019

Fingerprint

Orr-Sommerfeld Equation

Green's function

Navier Stokes equations

Resolvent Equations

Half-plane

Navier-Stokes Equations

Profile

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Applied Mathematics

Cite this

Grenier, E., & Nguyen, T. T. (2019). Green function of Orr-Sommerfeld equations away from critical layers. SIAM Journal on Mathematical Analysis, 51(2), 1279-1296. https://doi.org/10.1137/16M1089587

Grenier, Emmanuel ; Nguyen, Toan T. / Green function of Orr-Sommerfeld equations away from critical layers. In: SIAM Journal on Mathematical Analysis. 2019 ; Vol. 51, No. 2. pp. 1279-1296.

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Grenier, E & Nguyen, TT 2019, 'Green function of Orr-Sommerfeld equations away from critical layers', SIAM Journal on Mathematical Analysis, vol. 51, no. 2, pp. 1279-1296. https://doi.org/10.1137/16M1089587

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

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Grenier E, Nguyen TT. Green function of Orr-Sommerfeld equations away from critical layers. SIAM Journal on Mathematical Analysis. 2019 Jan 1;51(2):1279-1296. https://doi.org/10.1137/16M1089587

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10.1137/16M1089587