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
[11]   GANS STABILITY-CRITERION FOR STEADY INVISCID HELICAL GAS-FLOWS - COMMENT [J].
WARREN, FW .
JOURNAL OF FLUID MECHANICS, 1975, 68 (MAR25) :413-415
[12]   A criterion of the linear long-wave stability of steady magnetohydrodynamic jet flows of an ideal fluid [J].
Gubarev, YG ;
Nikulin, VV .
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2003, 67 (05) :749-761
[14]   Steady-State Flows of Ideal Incompressible Fluid with Velocity Pointwise Orthogonal to the Pressure Gradient [J].
Rovenski V.Y. ;
Sharafutdinov V.A. .
Arnold Mathematical Journal, 2024, 10 (2) :223-256
[15]   MATHEMATICAL-MODELING OF STEADY-STATE FLOWS OF IDEAL FLUID JETS USING THE COMPUTER [J].
BABKIN, VI ;
BELOTSERKOVSKAIA, SM ;
GULIAEV, VV .
DOKLADY AKADEMII NAUK SSSR, 1981, 259 (06) :1319-1322
[16]   On the Arnold Stability of a Solid in a Plane Steady Flow of an Ideal Incompressible Fluid [J].
V.A. Vladimirov ;
K.I. Ilin .
Theoretical and Computational Fluid Dynamics, 1998, 10 :425-437
[17]   On the Arnold stability of a solid in a plane steady flow of an ideal incompressible fluid [J].
Vladimirov, VA ;
Ilin, KI .
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 1998, 10 (1-4) :425-437
[18]   GEURST STABILITY-CRITERION FOR CONCENTRATION WAVES IN BUBBLY FLOWS [J].
VANWIJNGAARDEN, L .
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 1991, 17 (06) :809-814
[19]   FLUID-DYNAMICS - STABILITY-CRITERION OF A NON STATIONARY FLUID [J].
BANAI, N .
BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE, 1974, 60 (07) :888-896