Pattern Formation in a Simple Chemical System with General Orders of Autocatalysis and Decay. I. Stability Analysis

نویسندگان

  • J. A. Leach
  • J. C. Wei
چکیده

In this preliminary paper we intorduce a mathematical model based on an au-tocatalytic reaction scheme with termination, and general reaction orders. Rigorous stability analysis and numerical solutions are presented which illustrate that the problem can for certain parameter values admit a stable stationary pattern in the concentration of the autocatalyst and reactant. This pattern forms at the rear of permanent form travelling wave or pulse solution.

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تاریخ انتشار 2002