Abstract
The interaction of various forms of convection with stably stratified barrier layers in the atmosphere is theoretically investigated. Three different formulations of the problem are considered. 1) A linear problem with given perturbations of temperature and vertical velocity at the lower boundary of a stably stratified medium. 2) Penetration of an isolated turbulent thermal into such a medium. 3) Impact on the intercepting layer of an intense convective turbulent jet. Analytical solutions of the corresponding model problems are found. The possibility of connecting the considered models with signatures of intense convection, in particular, with dome-shaped protrusions above the anvil of a cumulonimbus cloud (or a cluster of a convective system), which represent the intrusion of a powerful updraft into a stably stratified medium, is discussed.
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