Affiliation:
1. Department of Mathematics and Statistics, Queen's University, Kingston, Ontario K7L 3N6, Canada
Abstract
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 [Formula: see text] of time t. Stability of the oscillations with respect to small perturbations of exact solutions is proven.
Subject
Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering
Cited by
3 articles.
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