Asymptotic solutions of linearized Navier-Stokes equations localized in small neighborhoods of curves and surfaces

被引：7

作者：

Allilueva, A. I. ^{[3
,4
]}

Shafarevich, A. I. ^{[1
,2
,3
,4
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

[2] Russian Acad Sci, Moscow Instute Phys & Technol, Moscow 119526, Russia

[3] Russian Acad Sci, A Ishlinsky Inst Problems Mech, Moscow 119526, Russia

[4] Natl Res Ctr, Kurchatov Inst, Moscow, Russia

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 22卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Asymptotic Behavior; Mathematical Physic; Cauchy Problem; Asymptotic Solution; Localize Perturbation;

D O I：

10.1134/S1061920815040019

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the paper, the asymptotic behavior of solutions of the Cauchy problem is described for the linearized Navier-Stokes equation with the initial condition localized in a neighborhood of a curve or a two-dimensional surface in three-dimensional space. In particular, conditions for the growth of the perturbation in plane-parallel, two-dimensional, and helical external flows are obtained.

引用

页码：421 / 436

页数：16

共 8 条

[1] 3-DIMENSIONAL CENTRIFUGAL-TYPE INSTABILITIES IN INVISCID TWO-DIMENSIONAL FLOWS [J].