Qualitative Properties of Solutions of a Doubly Nonlinear Reaction-Diffusion System with a Source
Мерсаид АриповDepartment of Informatics and Applied Programming, National University of Uzbekistan, Tashkent, UzbekistanШахло А. СадуллаеваDepartment of Multimedia Technology, Tashkent University of Information Technology, Tashkent, Uzbekistan
ABI
Annotatsiya
In this paper, we study properties of solutions to doubly nonlinear reaction-diffusion systems with variable density and source. We demonstrate the possibilities of the self-similar approach to studying the qualitative properties of solutions of such reaction-diffusion systems. We also study the finite speed of propagation (FSP) properties of solutions, an asymptotic behavior of the compactly supported solutions and free boundary asymptotic solutions in quick diffusive and critical cases.
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