Yakov Sinai

Blow Ups of Complex Solutions of the 3D-Navier-Stokes System (2006)

Li, Dong, Sinai, Yakov

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...

Statistical (3x+1) -- problem (2002)

Sinai, Yakov

Take an odd number x >0. Then 3x+1 is even and one can find an integer k> 0 so that y= 3x+1/2^k is again odd. We get in this way the mapping T, Tx=y. The paper contains two theorems describing...