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

Emmanuel Grenier, Toan T. Nguyen

Research output: Contribution to journal › Article

1 Scopus citations

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

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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

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Access to Document

10.1137/16M1089587