Blow ups of complex solutions of the 3D Navier–Stokes system and renormalization group method
Dong LiUniversity of Iowa, Iowa City, United States
Yakov G. SinaiPrinceton University, United States
We consider complex-valued solutions of the three-dimensional Navier-Stokes system without external forcing on . We show that there exists an open set in the space of -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.
Cite this article
Dong Li, Yakov G. Sinai, Blow ups of complex solutions of the 3D Navier–Stokes system and renormalization group method. J. Eur. Math. Soc. 10 (2008), no. 2, pp. 267–313DOI 10.4171/JEMS/111