Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 3, Pages 417–427
DOI: https://doi.org/10.4213/tmf1053 (Mi tmf1053) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy

N. V. Antonov, A. V. Runov

Saint-Petersburg State University
Full-text PDF (223 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf1053
Abstract: Statistical model of the fully developed turbulence in the two-dimensional space is considered by means of the renormalization group method in the weak anisotropy approximation. It is shown that the corresponding fixed point of the renormalization group equations is not infrared stable, hence the weak anisotropy approximation is not valid for the description of the two-dimensional turbulence.
Received: 24.12.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 3, Pages 1131–1139
DOI: https://doi.org/10.1007/BF02583045
Bibliographic databases:
Language: Russian
Citation: N. V. Antonov, A. V. Runov, “Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy”, TMF, 112:3 (1997), 417–427; Theoret. and Math. Phys., 112:3 (1997), 1131–1139
Citation in format AMSBIB
\Bibitem{AntRun97}
\by N.~V.~Antonov, A.~V.~Runov
\paper Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy
\jour TMF
\yr 1997
\vol 112
\issue 3
\pages 417--427
\mathnet{http://mi.mathnet.ru/tmf1053}
\crossref{https://doi.org/10.4213/tmf1053}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1486798}
\zmath{https://zbmath.org/?q=an:0968.76565}
\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 112
\issue 3
\pages 1131--1139
\crossref{https://doi.org/10.1007/BF02583045}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000071403900006}
Linking options:
  • https://www.mathnet.ru/eng/tmf1053
  • https://doi.org/10.4213/tmf1053
  • https://www.mathnet.ru/eng/tmf/v112/i3/p417
    • This publication is cited in the following 10 articles:
    1. Canet L. Delamotte B. Wschebor N., “Fully developed isotropic turbulence: Nonperturbative renormalization group formalism and fixed-point solution”, Phys. Rev. E, 93:6 (2016), 063101  crossref  mathscinet  isi  elib  scopus
    2. Hnatic M. Honkonen J. Lucivjansky T., “Advanced Field-Theoretical Methods in Stochastic Dynamics and Theory of Developed Turbulence”, Acta Phys. Slovaca, 66:2-3 (2016), 69–265  isi
    3. Gladyshev A.V. Jurcisinova E. Jurcisin M. Remecky R. Zalom P., “Anomalous Scaling of a Passive Scalar Field Near Two Dimensions”, Phys. Rev. E, 86:3, Part 2 (2012), 036302  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus  scopus
    4. Zhou Y., “Renormalization group theory for fluid and plasma turbulence”, Physics Reports-Review Section of Physics Letters, 488:1 (2010), 1–49  crossref  mathscinet  isi  scopus  scopus  scopus
    5. D. Volchenkov, “Renormalization group and instantons in stochastic nonlinear dynamics”, Eur. Phys. J. Spec. Top., 170:1 (2009), 1  crossref
    6. Hnatich, M, “Anomalous scaling of passively advected magnetic field in the presence of strong anisotropy”, Physical Review E, 71:6 (2005), 066312  crossref  adsnasa  isi  scopus  scopus  scopus
    7. Busa, J, “Influence of anisotropy on the scaling regimes in fully developed turbulence”, Acta Physica Slovaca, 52:6 (2002), 547  isi
    8. Hnatich M., Jonyova E., Jurcisin M., Stehlik M., “Stability of scaling regimes in d >= 2 developed turbulence with weak anisotropy”, Physical Review E, 64:1 (2001), 016312  crossref  mathscinet  adsnasa  isi  scopus  scopus  scopus
    9. Antonov, NV, “Influence of compressibility on scaling regimes of strongly anisotropic fully developed turbulence”, Physical Review E, 60:4 (1999), 4043  crossref  mathscinet  adsnasa  isi  scopus  scopus  scopus
    10. Honkonen, J, “Asymptotic behavior of the solution of the two-dimensional stochastic vorticity equation”, Physical Review E, 58:4 (1998), 4532  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:385
    Full-text PDF :205
    References:52
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025