書誌事項

Patterns and dynamics in reactive media

Rutherford Aris, Donald G. Aronson, Harry L. Swinney, editors

(The IMA volumes in mathematics and its applications, v. 37)

Springer-Verlag, c1991

  • : New York
  • : Berlin

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注記

Contains lectures given at a workshop held at the Institute for Mathematics and its Applications, Minneapolis, Minn., Oct. 16-20, 1989

"Based on the proceeding of a workshop which was an integral part of the 1989-90 IMA program on 'Dynamical Systems and their Applications'"--Foreword

"Workshop 'Patterns and Dynamics in Reactive Media'"--Pref

Includes bibliographical references

内容説明・目次
巻冊次

: New York ISBN 9780387976716

内容説明

Ever since the seminal works on traveling waves and morphogenesis by Fisher, by Kolmogorov, Petrovski and Piscunov, and by Turing, scientists from many disciplines have been fascinated by questions concerning the formation of steady or dynamic patterns in reactive media. Contributions to this volume have been made by chemists, chemical engineers, mathematicians (both pure and applied), and physicists. The topics covered range from reports of experimental studies, through descriptions of numerical experiments, to rather abstract theoretical investigations, each exhibiting different aspects of a very diverse field.

目次

Simple resonance regions of torus diffeomorphisms.- A minimal model for spatio-temporal patterns in thin film flow.- Localized and extended patterns in reactive media.- Some recent results in chemical reaction network theory.- Genericity, bifurcation and symmetry.- Dynamics of some electrochemical reactions.- Construction of the Fitzhugh-Ngumo pulse using differential forms.- Kinetic polynomial: A new concept of chemical kinetics.- Convergence of travelling waves for phase field equations to sharp interface models in the singular limit.- Standing and propagating temperature waves on electrically heated catalytic surfaces.- Mixed-mode oscillations in the nonisothermal autocatalator.- Bifurcations and global stability in surface catalyzed reactions using the Monte Carlo method.
巻冊次

: Berlin ISBN 9783540976714

内容説明

This work on patterns (steady and dynamic) in reactive media comprises contributions from a range of disciplines (chemical, chemical engineering, mathematics - pure and applied - and physics). Topics cover reports of experimental studies, descriptions of numerical experiments and abstract theory.

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