Analytical Dependence of Pollution Density on the Power-Type Diffusion Coefficient in Dissipative Systems

Abstract

In environment engineering, there exists a wide class of systems belonging to the so-called dissipative type. Investigation of such systems allows determining the basic dynamical properties and peculiarities of pollution expansion. The most interesting properties appear in the case of nonlinear dissipative systems, which may exhibit bifurcations and irregular solitonic waves. Concrete examples of dissipative environment engineering systems allowing an analytical assessment of pollution density are considered. In the case when the external impact is negligible and the diffusion coefficient is of a special kind, it is possible to trace the dependence of pollution density and, for example, of its irregular waves on the diffusion coefficient in an analytical aspect.