6. Reaction-Diffusion Systems

  1. J. David Logan

Published Online: 29 OCT 2007

DOI: 10.1002/9780470287095.ch6

An Introduction to Nonlinear Differential Equations, Second Edition

An Introduction to Nonlinear Differential Equations, Second Edition

How to Cite

Logan, J. D. (2008) Reaction-Diffusion Systems, in An Introduction to Nonlinear Differential Equations, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470287095.ch6

Author Information

  1. Willa Cather Professor of Mathematics, University of Nebraska, Lincoln, Department of Mathematics, Lincoln, NE

Publication History

  1. Published Online: 29 OCT 2007
  2. Published Print: 28 MAR 2008

ISBN Information

Print ISBN: 9780470225950

Online ISBN: 9780470287095

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Keywords:

  • partial differential equations;
  • reaction-diffusion equations;
  • diffusion-driven instability;
  • combustion theory;
  • biological sciences

Summary

This chapter contains sections titled:

  • Reaction-Diffusion Models

  • Traveling Wave Solutions

  • Existence of Solutions

  • Maximum Principles and Comparison Theorems

  • Energy Estimates and Asymptotic Behavior

  • Pattern Formation