5. Diffusion Processes

  1. J. David Logan

Published Online: 29 OCT 2007

DOI: 10.1002/9780470287095.ch5

An Introduction to Nonlinear Differential Equations, Second Edition

An Introduction to Nonlinear Differential Equations, Second Edition

How to Cite

Logan, J. D. (2007) Diffusion Processes, in An Introduction to Nonlinear Differential Equations, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470287095.ch5

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:

  • diffusion processes;
  • partial differential equations;
  • nonlinear diffusion models;
  • probability;
  • asymptotic expansion

Summary

This chapter contains sections titled:

  • Diffusion and Random Motion

  • Similarity Methods

  • Nonlinear Diffusion Models

  • Reaction-Diffusion; Fisher's Equation

  • Advection-Diffusion; Burgers' Equation

  • Asymptotic Solution to Burgers' Equation

  • Appendix: Dynamical Systems