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.

Voir la notice de l'article provenant de la source EMS Press

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 
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     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},
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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. http://geodesic.mathdoc.fr/articles/10.4171/jems/111/

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