Amplitude Equation of Higher-Dimensional Nikolaevskii Turbulence

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Abstract

The scaling structure of higher-dimensional Nikolaevskii turbulence described by φ(γ, t) = -∇^2 [{ε - (∇^2 + κ^2_0)^2}φ] + (∇φ)^2 is investigated for small ε (> 0). This is done by extending the Matthews-Cox scaling in a one-dimenional system to higher dimensions. By deriving the amplitude equation for small ε in higher dimensions and carrying out the numerical integration of their amplitude equations for a two-dimensional system, it is shown that the same scaling structure found in the one-dimensional case exists also in two dimensions.

Journal

  • Progress of Theoretical Physics

    Progress of Theoretical Physics 109(6), 911-918, 2003-06-25

    Published for the Yukawa Institute for Theoretical Physics and the Physical Society of Japan

References:  19

  • <no title>

    KURAMOTO Y.

    Prog Theor Phys. 55, 356, 1976

    Cited by (8)

  • <no title>

    KURAMOTO Y.

    Chemical Oscillations, Waves, and Turbulence, 1984

    Cited by (65)

  • <no title>

    BOHR T.

    Dynamical Systems Approach to Turbulence, 1998

    Cited by (2)

  • <no title>

    MALOMED B. A.

    Phys. Rev. A 45, 1009, 1992

    Cited by (2)

  • <no title>

    TRIBELSKY M. I.

    Phys. Rev. Lett. 76, 1631, 1996

    Cited by (5)

  • <no title>

    TRIBELSKY M. I.

    Physics-Uspekhi 40, 159, 1997

    Cited by (1)

  • <no title>

    XI H.

    Phys. Rev. E 62, R17, 2000

    Cited by (1)

  • Recent Advances in Engineering Science

    NIKOLAEVSKII V. N.

    Lecture Notes in Engineering 39, 210, 1989

    Cited by (2)

  • <no title>

    BERESNOV I. A.

    Physica D 66, 1, 1993

    Cited by (1)

  • <no title>

    HIDAKA Y.

    Phys. Rev. E 56, R6256, 1997

    Cited by (6)

  • <no title>

    NAGAYA T.

    J. Phys. Soc. Jpn. 69, 3146, 2000

    Cited by (2)

  • <no title>

    TAMURA K.

    J. Phys. Soc. Jpn. 70, 2805, 2001

    Cited by (2)

  • <no title>

    TANAKA D.

    (17aRJ-5) at the meeting of the Japan Physical Society (Tokushima, September), 2001, 2001

    Cited by (1)

  • <no title>

    FUJISAKA H.

    Prog. Theor. Phys. 106, 315, 2001

    Cited by (1)

  • <no title>

    MATTHEWS P. C.

    Phys. Rev. E 62, R1473, 2000

    Cited by (1)

  • <no title>

    ROSSBERG A. G.

    Phys. Rev. Lett. 76, 4729, 1996

    Cited by (7)

  • <no title>

    TRIBELSKY M. I.

    Phys. Rev. E 54, 4973, 1996

    DOI  Cited by (4)

  • <no title>

    KAI S.

    J. Phys. Chem. 100, 19007, 1996

    DOI  Cited by (10)

  • <no title>

    TAMURA K.

    Physica A 306, 157, 2002

    DOI  Cited by (5)

Codes

  • NII Article ID (NAID)
    110001196066
  • NII NACSIS-CAT ID (NCID)
    AA00791455
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    0033068X
  • NDL Article ID
    6577764
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A468
  • Data Source
    CJP  NDL  NII-ELS 
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