ON THE ARNOLD STABILITY-CRITERION FOR STEADY-STATE FLOWS OF AN IDEAL FLUID

被引:0
作者
ROUCHON, P
机构
关键词
D O I
暂无
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
It is proved that, in contrast to the 2-D case, the sufficient Arnold stability criterion for steady-state solutions of the incompressible Euler equations is never satisfied when 3-D perturbations are considered.
引用
收藏
页码:651 / 661
页数:11
相关论文
共 50 条
[31]   Linear longwave instability of a single class of steady-state jet flows of an ideal fluid in the field of a self-electric current [J].
Gubarev Y.G. ;
Nikulin V.V. .
Fluid Dynamics, 2001, 36 (2) :225-235
[32]   STABILITY IN DISSIPATIVE STEADY-STATE [J].
LANDAUER, R .
PHYSICS TODAY, 1978, 31 (11) :23-29
[33]   CONDITIONS FOR NON-LINEAR STABILITY OF PLANE STEADY CURVILINEAR FLOWS OF AN IDEAL FLUID [J].
ARNOLD, VI .
DOKLADY AKADEMII NAUK SSSR, 1965, 162 (05) :975-&
[34]   Development of a steady-state computational fluid dynamics solver for transonic rotorcraft flows [J].
Abuhanieh, Saleh .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING, 2024, 238 (06) :582-595
[35]   JOBS - NEED TO REACH AN IDEAL STEADY-STATE [J].
BRENNER, S .
NATURE, 1979, 279 (5708) :12-12
[36]   Stability of steady-state non-Newtonian fluid layer flow [J].
Lyubimov, D. V. ;
Perminov, A. V. .
FLUID DYNAMICS, 2012, 47 (06) :694-701
[37]   Stability of steady-state non-Newtonian fluid layer flow [J].
D. V. Lyubimov ;
A. V. Perminov .
Fluid Dynamics, 2012, 47 :694-701
[38]   A 2-FLUID MODIFIED SUFFICIENT STABILITY-CRITERION FOR THE PEELING MODE [J].
ZHENG, LJ .
PHYSICS LETTERS A, 1992, 164 (5-6) :424-428
[39]   Implementation of the IDEAL algorithm for complex steady-state incompressible fluid flow problems in OpenFOAM [J].
Deng, Yajun ;
Sun, Dongliang ;
Liang, Yongtu ;
Yu, Bo ;
Wang, Peng .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2017, 88 :63-73
[40]   Spatial Steady-State Flow of an Ideal Fluid about Vane Systems of Turbomachines. [J].
Morgunov, G.M. .
Izvestiya Akademii Nauk. Mekhanika Zhidkosti I Gaza, 1975, (06) :3-12