Geodesic
Blow ups of complex solutions of the 3D Navier–Stokes system and renormalization group method
Journal of the European Mathematical Society, Tome 10 (2008) no. 2, pp. 267-313 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We consider complex-valued solutions of the three-dimensional Navier-Stokes system without external forcing on R3. We show that there exists an open set in the space of 10-parameter families of initial conditions such that for each family from this set there are values of parameters for which the solution develops blow up in finite time.
DOI : 10.4171/jems/111
Classification : 20-XX, 76-XX, 00-XX
Keywords: Navier-Stokes system, renormalization group theory, fixed point, linearization near the fixed point, spectrum of the linearized group, Hermite polynomials 
@article{JEMS_2008_10_2_a0,
     author = {Dong Li and Yakov G. Sinai},
     title = {Blow ups of complex solutions of the {3D} {Navier{\textendash}Stokes} system and renormalization group method},
     journal = {Journal of the European Mathematical Society},
     pages = {267--313},
     year = {2008},
     volume = {10},
     number = {2},
     doi = {10.4171/jems/111},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/111/}
}
TY  - JOUR
AU  - Dong Li
AU  - Yakov G. Sinai
TI  - Blow ups of complex solutions of the 3D Navier–Stokes system and renormalization group method
JO  - Journal of the European Mathematical Society
PY  - 2008
SP  - 267
EP  - 313
VL  - 10
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/111/
DO  - 10.4171/jems/111
ID  - JEMS_2008_10_2_a0
ER  - 
%0 Journal Article
%A Dong Li
%A Yakov G. Sinai
%T Blow ups of complex solutions of the 3D Navier–Stokes system and renormalization group method
%J Journal of the European Mathematical Society
%D 2008
%P 267-313
%V 10
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/111/
%R 10.4171/jems/111
%F JEMS_2008_10_2_a0
Dong Li; Yakov G. Sinai. Blow ups of complex solutions of the 3D Navier–Stokes system and renormalization group method. Journal of the European Mathematical Society, Tome 10 (2008) no. 2, pp. 267-313. doi: 10.4171/jems/111

Cité par Sources :