Blow Ups of Complex Solutions of the 3D-Navier-Stokes System
Fluid Dynamics
2007-05-23 v1
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 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.
Keywords
Cite
@article{arxiv.physics/0610101,
title = {Blow Ups of Complex Solutions of the 3D-Navier-Stokes System},
author = {Dong Li and Yakov Sinai},
journal= {arXiv preprint arXiv:physics/0610101},
year = {2007}
}