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[01073] About reaction-diffusion systems with exponential growth: Numerical study

  • Session Time & Room : 4D (Aug.24, 15:30-17:10) @G602
  • Type : Contributed Talk
  • Abstract : The modeling and mathematical analysis of concrete phenomena are of great interest to better understand our environment and its evolution. Several analogies between chemistry and biological systems have led researchers to introduce mathematical models of "reaction-diffusion", whose objective is to follow the evolution of the quantities interacting during the process. In this talk, we are interested in reaction-diffusion systems with exponential growth, modeling an irreversible chemical reaction. Since the 86's, considerable efforts have been devoted to the study of this systems. We provide a general overview of the different theoretical results obtained, as well as our investigation from a numerical point of view on open cases.
  • Classification : 35K57, 35K58, 80A25, 80A19
  • Author(s) :
    • Rajae Malek (Moulay Ismail University, Meknes, Morocco)