Investigation into evolution mechanisms of Lamb vectors in compressible flow

The full-life cycle evolution of the Lamb vector is investigated thoroughly. Numerical validation confirms its asymptotic behavior near no-slip boundaries and formation mechanisms within viscous sublayers of supersonic flat plate flows. Using Stokes-Helmholtz decomposition, the spatiotemporal evolution equation reveals competition between advection, stretching/tilting of generalized Lamb vectors' transverse components, and viscosity. Defining a weakly nonlinear mid-field wake region fills gaps in its full-life cycle, with this region's behavior and physics examined.