Skip to main content
SpringerLink
Log in

A model equation arising from chemical reactor theory

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Aris, R., Elementary Chemical Reactor Analysis. Englewood Cliffs; N. J., Princeton-Hall, Inc. 1969

    Google Scholar 

  2. Aris, R., & N. Amundson, An analysis of chemical reactor stability and control. Chem. Eng. Sci., 7, (3) 121–155 (1958)

    Google Scholar 

  3. Cardoso, M. A., & D. Luss, Stability of catalytic wires. Chemical Engineering Science 24, 1670–1710 (1969)

    Google Scholar 

  4. Coddington, E. A., & N. Levinson, Theory of Ordinary Differential Equations. New York: McGraw-Hill 1955

    Google Scholar 

  5. Cohen, D. S., Multiple stable solutions of nonlinear boundary value problems arising in chemical reactory theory. SIAM J. Applied Math. 20, (1) 1–13 (1971)

    Google Scholar 

  6. Cohen, D. S., Multiple Solutions of Nonlinear Partial Differential Equations. Proceedings of the Battelle Summer Institute in Nonlinear Mathematics. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  7. Cohen, D. S., & A.B. Poore, Tubular chemical reactors: The “lumping approximation” and bifurcation of oscillatory states. SIAM Journal on Applied Math., to appear

  8. Coppel, W. A., Stability and Asymptotic Behavior of Differential Equations. Boston: D. C. Heath 1965

    Google Scholar 

  9. Friedrichs, K. O., Advanced Ordinary Differential Equations. New York: Gordon and Breach 1965

    Google Scholar 

  10. Gavalas, G. R., Nonlinear Differential Equations of Chemically Reacting Systems. New York: Springer 1968

    Google Scholar 

  11. Hale, J., Ordinary Differential Equations. New York: Wiley-Interscience 1969

    Google Scholar 

  12. Hartman, P., Ordinary Differential Equations. New York: Wiley 1964

    Google Scholar 

  13. Hlavacek, V., M. Kubicek & J. Jelinek, Modeling of chemical reactors-XVII. Stability and oscillatory behavior of the CSTR. Chemical Engineering Science 25, 1441–1461 (1970)

    Google Scholar 

  14. Hurewicz, H., Lectures on Ordinary Differential Equations. Cambridge: MIT Press 1968

    Google Scholar 

  15. Hyun, J. C., & R. Aris, The control of a stirred tank reactor with hysteresis in the control element. Chem. Eng. Sci., 27, 1341–1370 (1972)

    Google Scholar 

  16. Minorsky, N., Nonlinear Oscillations. Princeton, N. J.: Van Nostrand 1962

    Google Scholar 

  17. Poore, A. B., Stability and Bifurcation Phenomena in Chemical Reactor Theory. Ph. D. Thesis, California Institute of Technology 1972

  18. Uppal, A., H. W. Ray & A. B. Poore, On the dynamic behavior of continuous stirred tank reactors. Chemical Engineering Science, to appear

  19. Urabe, M., Nonlinear Autonomous Oscillations, New York: Academic Press 1967

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Colorado State University, Fort Collins, Colorado

    Aubrey B. Poore

Authors
  1. Aubrey B. Poore
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by R. Aris

Rights and permissions

Reprints and permissions

About this article

Cite this article

Poore, A.B. A model equation arising from chemical reactor theory. Arch. Rational Mech. Anal. 52, 358–388 (1973). https://doi.org/10.1007/BF00247470

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00247470

Keywords

Search

Navigation