Blow ups of complex solutions of the 3D Navier–Stokes system and renormalization group method
Dong Li
University of Iowa, Iowa City, United StatesYakov G. Sinai
Princeton University, United States
Abstract
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. 267–313
DOI 10.4171/JEMS/111