Green function of Orr-Sommerfeld equations away from critical layers

Emmanuel Grenier, Toan T. Nguyen

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)1279-1296
Number of pages18
JournalSIAM Journal on Mathematical Analysis
Volume51
Issue number2
DOIs
StatePublished - Jan 1 2019

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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

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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 journalArticle

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