The new effect of oscillations of the total angular momentum vector of viscous fluid

The new effect is discovered in viscous fluid dynamics satisfying the three-dimensional (3D) Navier-Stokes equations without external forces that consists of oscillations of the corresponding total angular momentum vector. Exact viscous flows obeying the no-slip boundary condition are derived that have an arbitrary number of oscillations of the total angular momentum vector on any given interval [q , p ] of time t. Stability of the oscillations with respect to small perturbations of exact solutions is proven. Published under an exclusive license by AIP Publishing.

Automated summary

A new effect has been discovered in viscous fluid dynamics that satisfies the three-dimensional Navier-Stokes equations without external forces. This effect consists of oscillations of the total angular momentum vector. Exact solutions for viscous flows obeying the no-slip boundary condition are derived, with an arbitrary number of oscillations of the total angular momentum vector on any given interval of time. The stability of these oscillations under small perturbations of the exact solutions has been proven.