Special Session 4: Control and Optimization

Regularization by noise for 3D Navier-Stokes equations

Dejun Luo
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Peoples Rep of China
Co-Author(s):    Franco Flandoli
Abstract:
We consider the vorticity form of 3D Navier-Stokes equations on the torus, perturbed by suitable multiplicative transport noise. We show that the transport noise provides a bound on vorticity which gives lont-term well posedness, with large probability. The result holds for sufficiently large noise intensity and sufficiently high spectrum of the noise. The talk is based on a joint work with Professor Franco Flandoli.