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

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1279-1296
页数	18
期刊	SIAM Journal on Mathematical Analysis
卷	51
期	2
DOI	https://doi.org/10.1137/16M1089587
出版状态	已出版 - 2019
已对外发布	是

访问文件

10.1137/16M1089587

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{a160d491d2c64eeb9aaa47f7b2c170c6,

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.",

keywords = "Boundary layers, Green function, Instability, Linearized Navier-Stokes, Orr-Sommerfeld equations, Semigroup bounds",

author = "Emmanuel Grenier and Nguyen, \{Toan T.\}",

note = "Publisher Copyright: Copyright {\textcopyright} 2019 Society for Industrial and Applied Mathematics",

year = "2019",

doi = "10.1137/16M1089587",

language = "English",

volume = "51",

pages = "1279--1296",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "2",

}

TY - JOUR

T1 - Green function of Orr-Sommerfeld equations away from critical layers

AU - Grenier, Emmanuel

AU - Nguyen, Toan T.

PY - 2019

Y1 - 2019

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.

KW - Boundary layers

KW - Green function

KW - Instability

KW - Linearized Navier-Stokes

KW - Orr-Sommerfeld equations

KW - Semigroup bounds

UR - https://www.scopus.com/pages/publications/85065503226

U2 - 10.1137/16M1089587

DO - 10.1137/16M1089587

M3 - Article

AN - SCOPUS:85065503226

SN - 0036-1410

VL - 51

SP - 1279

EP - 1296

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 2

ER -

Green function of Orr-Sommerfeld equations away from critical layers

摘要

访问文件

其它文件与链接

指纹

引用此