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Dobrokhotov, S. Yu.; Shafarevich, A. I.

Asymptotic solutions of linearized Navier-Stokes equations. (English. Russian original) Zbl 0816.76025

Math. Notes 53, No. 1, 19-26 (1993); translation from Mat. Zametki 53, No. 1, 25-35 (1993).
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.
Reviewer: A.Kluwick (Wien)

Cited in 9 Documents

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations

Keywords:

short wave solutions; planar-parallel flows; three-dimensional disturbances of two-dimensional flows
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References:

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