Qualitative Properties of Solutions of a Doubly Nonlinear Reaction-Diffusion System with a Source - Journal of Applied Mathematics and Physics

JAMP > Vol.3 No.9, September 2015

Journal of Applied Mathematics and Physics

Volume 3, Issue 9 (September 2015)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

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

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Download as PDF (Size: 297KB) PP. 1090-1099

DOI: 10.4236/jamp.2015.39135 1,989 Downloads 2,857 Views Citations

Author(s)

Mersaid Aripov^1*, Shakhlo A. Sadullaeva²

Affiliation(s)

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

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

Share and Cite:

Aripov, M. and Sadullaeva, S. (2015) Qualitative Properties of Solutions of a Doubly Nonlinear Reaction-Diffusion System with a Source. Journal of Applied Mathematics and Physics, 3, 1090-1099. doi: 10.4236/jamp.2015.39135.

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