SEQUENCES OF INFINITE BIFURCATIONS AND TURBULENCE IN A 5-MODE TRUNCATION OF THE NAVIER-STOKES EQUATIONS

被引:100
|
作者
FRANCESCHINI, V
TEBALDI, C
机构
[1] UNIV ANCONA,DIPARTIMENTO MATEMATICO,I-60100 ANCONA,ITALY
[2] UNIV BOLOGNA,IST FIS,I-40126 BOLOGNA,ITALY
关键词
D O I
10.1007/BF01107910
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:707 / 726
页数:20
相关论文
共 50 条
  • [21] On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations
    Hsia, Chun-Hsiung
    Jung, Chang-Yeol
    Thien Binh Nguyen
    Shiue, Ming-Cheng
    NUMERISCHE MATHEMATIK, 2017, 135 (02) : 607 - 638
  • [22] On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations
    Chun-Hsiung Hsia
    Chang-Yeol Jung
    Thien Binh Nguyen
    Ming-Cheng Shiue
    Numerische Mathematik, 2017, 135 : 607 - 638
  • [23] On the decay of infinite energy solutions to the Navier-Stokes equations in the plane
    Bjorland, Clayton
    Niche, Cesar J.
    PHYSICA D-NONLINEAR PHENOMENA, 2011, 240 (07) : 670 - 674
  • [24] Existence of solutions for a class of Navier-Stokes equations with infinite delay
    Guzzo, Sandro Marcos
    Planas, Gabriela
    APPLICABLE ANALYSIS, 2015, 94 (04) : 840 - 855
  • [25] The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder
    Abe, K.
    MANUSCRIPTA MATHEMATICA, 2019, 160 (3-4) : 359 - 383
  • [26] Dynamics and control of the seven-mode truncation system of the 2-d Navier-Stokes equations
    Smaoui, N.
    Zribi, M.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 32 : 169 - 189
  • [27] INFINITE FAMILIES OF EXACT PERIODIC SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
    Bogoyavlenskij, Oleg I.
    MOSCOW MATHEMATICAL JOURNAL, 2003, 3 (02) : 263 - 272
  • [28] On Navier-Stokes equations with slip boundary conditions in an infinite pipe
    Mucha, PB
    ACTA APPLICANDAE MATHEMATICAE, 2003, 76 (01) : 1 - 15
  • [29] Stabilization to equilibria of compressible Navier-Stokes equations with infinite mass
    Novotny, A.
    Pokorny, M.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (3-4) : 437 - 451
  • [30] A 6-MODE TRUNCATION OF THE NAVIER-STOKES EQUATIONS ON A TWO-DIMENSIONAL TORUS - A NUMERICAL STUDY
    ANGELO, PM
    RIELA, G
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1981, 64 (02): : 207 - 220