Qualitative Properties of Solutions of a Doubly Nonlinear Reaction-Diffusion System with a Source

Mersaid Aripov^1*, Shakhlo A. Sadullaeva²

¹Department of Informatics and Applied Programming, National University of Uzbekistan, Tashkent, Uzbekistan.
²Department of Multimedia Technology, Tashkent University of Information Technology, Tashkent, Uzbekistan.

DOI: 10.4236/jamp.2015.39135                

Abstract

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.

Keywords

Double Nonlinear Reaction-Diffusion Equation, Self-Similar Solution, Asymptotics

Conflicts of Interest

The authors declare no conflicts of interest.

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