|
This article is cited in 12 scientific papers (total in 12 papers)
Some asymptotic solutions of linearized Navier–Stokes equations
S. Yu. Dobrokhotov, A. I. Shafarevich A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
Abstract:
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.
Received: 25.06.1992
Citation:
S. Yu. Dobrokhotov, A. I. Shafarevich, “Some asymptotic solutions of linearized Navier–Stokes equations”, Mat. Zametki, 53:1 (1993), 25–35; Math. Notes, 53:1 (1993), 19–26
Linking options:
https://www.mathnet.ru/eng/mzm3917 https://www.mathnet.ru/eng/mzm/v53/i1/p25
|
Statistics & downloads: |
Abstract page: | 452 | Full-text PDF : | 173 | First page: | 3 |
|