Special Session 9: Recent Progress in Mathematical Theory of Stability and Instability in Fluid Dynamics

Viscosity driven instability of shear flows without boundaries

Hui Li
New York University Abu Dhabi
United Arab Emirates
Co-Author(s):    Hui Li and Weiren Zhao
Abstract:
In this talk, we discuss the instability caused by viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state due to the influence of viscous dissipation.