On the Conservation and Impermeability Theorems for Potential Vorticity

摘要: Abstract If the partial analogy between behavior of Rossby-Ertel potential vorticity (PV) and chemical tracers is to be correctly used in general case diabatic, frictional motion, then certain fundamental differences, as well similarities, PV that must recognized. These differences stem from well-known kinematical relationship isentropic circulation (via Stokes' theorem), which has no counterpart for substances. One way stating while recognizing say first behaves like mixing ratio a peculiar “substance” zero source; i.e., exactly conserved, away boundaries (conserved not material or Lagrangian sense, but sense associated with idea an indestructible substance), second surfaces behave if they were impermeable this “PV-substance” “PVS,” even when diab...