• Medientyp: E-Book; Bericht; Sonstige Veröffentlichung
  • Titel: Global behavior and asymptotic reduction of a chemical kinetics system with continua of equilibria
  • Beteiligte: Schneider, Klaus R. [VerfasserIn]; Kalachev, Leonid V. [VerfasserIn]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2003
  • Sprache: Englisch
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.870
  • Schlagwörter: 92C45 ; 34C60 ; chemical dynamics system -- model reduction -- invariant manifold -- singular perturbations -- boundary function method ; 34E15 ; 34D05 ; article
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  • Beschreibung: We consider a model chemical kinetics system describing the dynamics of species concentrations taking part in a consecutive-competitive reaction in a continuously stirred tank reactor. Corresponding dynamical system has a continua of equilibria. The solution of the system tends to a particular equilibrium depending on the initial conditions. Global behavior of the system and its reductions via invariant manifold theory and the boundary function methods are studied.