Asymptotic solutions of linearized Navier-Stokes equations
type: Item
instance of: scholarly article
title: Asymptotic solutions of linearized Navier-Stokes equations
zbMATH Open document ID: 0816.76025
DOI: 10.1007/BF01208518
author: Sergei Yu. Dobrokhotov
author: A. I. Shafarevich
published in: Mathematical Notes
publication date: 1994-07-12T00:00:00Z
review text: Based on a set of equations derived in an earlier study, the asymptotic properties of short wave solutions of the linearized Navier-Stokes equations are analyzed. Special emphasis is placed on the existence of perturbations which exhibit exponential growth in the limit of large time. Cases investigated include planar-parallel flows and three- dimensional disturbances of two-dimensional flows. The predictions obtained by means of the asymptotic theory are compared with existing results.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 567847
zbMATH Keywords: short wave solutions
zbMATH Keywords: planar-parallel flows
zbMATH Keywords: three-dimensional disturbances of two-dimensional flows
reviewed by: A. Kluwick
MaRDI profile type: Publication
cites work: Instability criteria for the flow of an inviscid incompressible fluid
cites work: Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows
cites work: Q3844537
full work available at URL: https://doi.org/10.1007/bf01208518
OpenAlex ID: W2016591533
description: scientific article; zbMATH DE number 567847