Geodesic
Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy
Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 3, pp. 417-427

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_1997_112_3_a5,
     author = {N. V. Antonov and A. V. Runov},
     title = {Renormalization group in the theory of the two-dimensional turbulence: {Instability} of the fixed point with respect to weak anisotropy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {417--427},
     publisher = {mathdoc},
     volume = {112},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_112_3_a5/}
}
TY  - JOUR
AU  - N. V. Antonov
AU  - A. V. Runov
TI  - Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1997
SP  - 417
EP  - 427
VL  - 112
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1997_112_3_a5/
LA  - ru
ID  - TMF_1997_112_3_a5
ER  - 
%0 Journal Article
%A N. V. Antonov
%A A. V. Runov
%T Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1997
%P 417-427
%V 112
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1997_112_3_a5/
%G ru
%F TMF_1997_112_3_a5
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. Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 3, pp. 417-427. http://geodesic.mathdoc.fr/item/TMF_1997_112_3_a5/