Enstrophy Dynamics for Flow Past a Solid Body With No-Slip Boundary Condition

Key Points

• The research aims to understand how boundary vorticity affects enstrophy dynamics for flows around streamlined bodies.
• Derived a new energy identity incorporating boundary values of the vortex function.
• Analyzed enstrophy dissipativity for the Stokes system.
• Formulated a new equation for enstrophy dynamics in the Navier–Stokes system.
• Proved the dissipativity of enstrophy for the Stokes system.
• Presented a new enstrophy dynamics equation for the Navier-Stokes system.