@article{443a3bf314bc4d5f906358ee6ba89fd7,
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.",
author = "Emmanuel Grenier and Nguyen, {Toan T.}",
note = "Funding Information: \ast Received by the editors August 15, 2016; accepted for publication (in revised form) February 21, 2019; published electronically April 16, 2019. http://www.siam.org/journals/sima/51-2/M108958.html Funding: The second author's research was supported by the National Science Foundation under grant DMS-1405728. \dagger Equipe Projet Inria NUMED, INRIA Rh\{\^o}ne Alpes, Unit\e' de Math\e'matiques Pures et Ap-pliqu\e'es, UMR 5669, CNRS et Ecole\' Normale Sup\e'rieure de Lyon, 69364 Lyon Cedex 07, France (Emmanuel.Grenier@ens-lyon.fr). \ddagger Department of Mathematics, Penn State University, State College, PA 16803 (nguyen@math. psu.edu). Publisher Copyright: Copyright {\textcopyright} 2019 Society for Industrial and Applied Mathematics",
year = "2019",
doi = "10.1137/16M1089587",
language = "English (US)",
volume = "51",
pages = "1279--1296",
journal = "SIAM Journal on Mathematical Analysis",
issn = "0036-1410",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "2",
}