Isothermal flame balls

Effect of autocatalyst decay

Éva Jakab, D. Horváth, John H. Merkin, Stephen K. Scott, L. P. Simon, A. Tóth

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The symmetric solutions to the reaction-diffusion equations based on a simple autocatalytic reaction were studied. The steady concentration profile was determined based on the rate of decay of the autocatalyst relative to its autocatalytic production. It was found that a change in the stability appeared when there were multiple solutions, which was through a subcritical Hopf bifurcation.

Original languageEnglish
Article number036210
Pages (from-to)362101-362109
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number3 2
Publication statusPublished - Sep 2003

Fingerprint

reaction-diffusion equations
Symmetric Solution
Multiple Solutions
Flame
Reaction-diffusion Equations
Hopf Bifurcation
balls
flames
Ball
Decay
decay
profiles
Profile

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Isothermal flame balls : Effect of autocatalyst decay. / Jakab, Éva; Horváth, D.; Merkin, John H.; Scott, Stephen K.; Simon, L. P.; Tóth, A.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 68, No. 3 2, 036210, 09.2003, p. 362101-362109.

Research output: Contribution to journalArticle

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