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 › peer-review

8 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 - 2019

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/16M1089587

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title = "Green function of Orr-Sommerfeld equations away from critical layers",

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.",

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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.

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Green function of Orr-Sommerfeld equations away from critical layers

Abstract

All Science Journal Classification (ASJC) codes

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