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Stability and bifurcation phenomena in chemical reactor theory


Poore, Aubrey Bonner (1973) Stability and bifurcation phenomena in chemical reactor theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Y69M-X355.


We investigate the nonlinear parabolic equations of chemical tubular reactors. For various ranges of certain physical parameters perturbation procedures are applied to reduce the problem to various questions involving periodicity of solutions of ordinary and partial differential equations, multiplicity of solutions, bifurcation phenomena, existence, and stability of solutions. The main results include an investigation of the implications of the direction and stability of bifurcating branches and the multiplicity of periodic solutions for nonlinear diffusive systems. For the non-adiabatic chemical reactors the response diagrams are given for all relevant ranges of all physical parameters.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied And Computational Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Cohen, Donald S.
Thesis Committee:
  • Unknown, Unknown
Defense Date:30 August 1972
Record Number:CaltechETD:etd-07312006-091400
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2991
Deposited By: Imported from ETD-db
Deposited On:17 Aug 2006
Last Modified:21 Dec 2019 02:17

Thesis Files

PDF (Poore_ab_1973.pdf) - Final Version
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