Dimova, S.N., Kastchiev, M.S., Koleva, M.G. and Vasileva, D.P. (1995) Numerical Analysis of the Blow-Up Regimes of Combustion of Two-Component Nonlinear Heat-Conducting Medium. Journal of Computational Mathematics and Mathematical Physics, 35, 380-399.

has been cited by the following article:

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

  AUTHORS: Mersaid Aripov, Shakhlo A. Sadullaeva

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.9, September 8, 2015

  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.