Investigated properties of the process of a nonlinear diffusion-reaction with variable density

In the domain investigated properties of the process of a nonlinear diffusion-reaction with variable density:


(2.1)

where - given positive numbers, , functions , , . The system (2.1) is a base for modeling of the many nonlinear processes setoff physical process, process of mutual reaction - diffusions, heat conductivity, a polytrophic filtration of a liquid and gas in the nonlinear two componential media with volumetric absorption which capacity equally to . Particular cases ( ) of the problem (2.1) with source intensively studied in literature (see [1-5] for instance and references therein)