Matematičeskie zametki, Tome 53 (1993) no. 1, pp. 25-35
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S. Yu. Dobrokhotov; A. I. Shafarevich. Some asymptotic solutions of linearized Navier–Stokes equations. Matematičeskie zametki, Tome 53 (1993) no. 1, pp. 25-35. http://geodesic.mathdoc.fr/item/MZM_1993_53_1_a2/
@article{MZM_1993_53_1_a2,
author = {S. Yu. Dobrokhotov and A. I. Shafarevich},
title = {Some asymptotic solutions of linearized {Navier{\textendash}Stokes} equations},
journal = {Matemati\v{c}eskie zametki},
pages = {25--35},
year = {1993},
volume = {53},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1993_53_1_a2/}
}
TY - JOUR
AU - S. Yu. Dobrokhotov
AU - A. I. Shafarevich
TI - Some asymptotic solutions of linearized Navier–Stokes equations
JO - Matematičeskie zametki
PY - 1993
SP - 25
EP - 35
VL - 53
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1993_53_1_a2/
LA - ru
ID - MZM_1993_53_1_a2
ER -
%0 Journal Article
%A S. Yu. Dobrokhotov
%A A. I. Shafarevich
%T Some asymptotic solutions of linearized Navier–Stokes equations
%J Matematičeskie zametki
%D 1993
%P 25-35
%V 53
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1993_53_1_a2/
%G ru
%F MZM_1993_53_1_a2
We consider examples that illustrate in various situations the time evolution of asymptotic solutions of linearized Navier–Stokes equations. We give formulas that describe short-wave perturbations of plane-parallel flows. These perturbations grow linearly over time. For a wide class of two-dimensional flows with closed flow lines we prove the exponential growth of three-dimensional short-wave asymptotic solutions.
