Linearized Navier Stokes equations at high Reynolds numbers: A unified approach to inviscid damping, vorticity depletion and enhanced dissipation

Key Points

• The analysis shows that inviscid damping occurs at high Reynolds numbers, indicating flow stability in ideal conditions.
• Evidence from the recent findings confirms vorticity depletion occurs near periodic shear flows in two-dimensional domains.
• Asymptotic stability principles guide the exploration of incompressible flows, offering insights into non-square torus behavior.
• The methodology utilizes linearized Navier Stokes equations, providing a framework for understanding fluid dynamics.