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RESEARCH PAPERS

Liapunov Stability of Parabolic Distributed Systems: The Catalyst Particle Problem

[+] Author and Article Information
E. N. Murphy

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

E. D. Crandall

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

J. Basic Eng 92(2), 265-270 (Jun 01, 1970) (6 pages) doi:10.1115/1.3424985 History: Received July 29, 1969; Online October 27, 2010

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.

Copyright © 1970 by ASME
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