LOW ORDER SPECTRAL SYSTEMS DERIVED FROM A NONLINEAR BOUNDARY LAYER DIFFUSION EQUATION

A family of truncated(low order)spectral systems,derived from a nonlinear diffusion equation,whichis traditionally used in the atmospheric boundary layer physics is investigated.Analytical methods and ap-proaches from the theory of autonomous dynamical systems are applied.In essence,one-dimensional modelof a boundary layer is considered with emphasis on the time evolution of such a layer.However,due to theassumed restrictions,the main results of the study concern more mathematical than physical aspects of theproblem.