Blow Ups of Complex Solutions of the 3D-Navier-Stokes System
Dong Li, Yakov Sinai
Abstract
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.
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