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

2006/10/13 by Dong Li, Li, Dong, Yakov Sinai +1
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.physics/0610101

arxiv created 2006/10/13 · arxiv updated 2009/12/01

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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