Liapunov Stability of Parabolic Distributed Systems: The Catalyst Particle Problem-Reference-Cited by-同舟云学术

Liapunov Stability of Parabolic Distributed Systems: The Catalyst Particle Problem

Published:1970-06-01 Issue:2 Volume:92 Page:265-270
ISSN:0021-9223
Container-title:Journal of Basic Engineering
language:en
Short-container-title:

Author:

Murphy E. N.¹,Crandall E. D.²

Affiliation:

1. Department of Chemical Engineering, National University of Ireland, Dublin, Ireland; Department of Chemical Engineering, University of Notre Dame, Notre Dame, Ind.

2. Department of Physiology, School of Medicine, University of Pennsylvania, Philadelphia, Pa.; Department of Chemical Engineering, University of Notre Dame, Notre Dame, Ind.

Abstract

The second method of Liapunov is applied to a distributed parameter reaction system. A Liapunov functional is assumed and theorems are developed which yield sufficient conditions for analyzing the stability of a steady state. The method is applied to the problem of the catalyst particle treated as a slab. The conditions obtained are valid for general perturbations and general system parameters.

Publisher

ASME International

Subject

General Medicine

Link

http://asmedigitalcollection.asme.org/fluidsengineering/article-pdf/92/2/265/5516414/265_1.pdf

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Exterior differential forms in stability analysis with application to catalyst stability;Chemical Engineering Science;1976

2. On the stability of diffusion systems with chemical reactions;Mathematical Biosciences;1974-12

3. On global stability of distributed parameter chemical reaction systems;Chemical Engineering Science;1973-09

4. Stability and uniqueness of a catalyst particle problem: Parameter optimization in Liapunov functions;AIChE Journal;1973-03

5. Stability of a catalytic reaction to finite amplitude disturbances;The Chemical Engineering Journal;1972-01