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In this paper, we discuss the buoyancy driven mixed layer and entraining and penetratingphenomena happening at the inversion base. We have set up the more reasonable paramete-rized equation for the turbulent energy budget at the inversion base and explained theore-tically the generation, maintenance and evolution of the capping inversion. Finally, wehave obtained a set of equations which describe the behavior of the mixed layer height, theinversion thickness, the inversion strength, etc. The theoretical results are on the wholecoincident with the values of the observed examples.