Blow Ups of Complex Solutions of the 3D-Navier-Stokes System

Details Blow Ups of Complex Solutions of the 3D-Navier-Stokes System Blow Ups of Complex Solutions of the 3D-Navier-Stokes System

2006-10-13

arxiv.org/abs/physics/0610101v1

Physics

Fluid Dynamics

Scientific paper

We consider complex-valued solutions of the three-dimensional Navier-Stokes
system without external forcing on $R^3$. 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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