The Diffusion Equation

  • J. David Logan
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 15)


The first chapter of this monograph deals with diffusion. Diffusion processes play an important role in hydrogeological modeling. In subsurface porous structures there are really two processes that are lumped together into a diffusion term. One is ordinary molecular diffusion caused by the random collisions between molecules, and the other is dispersion, a velocity-driven process where molecules disperse by tracking through the tortuous pathways of the medium. Both processes cause molecules, say, a contaminant dissolved in water, to spread out in the medium. In this chapter we focus on one part of the diffusion-dispersion process, namely molecular diffusion.


Cauchy Problem Maximum Principle Diffusion Equation Fundamental Solution Inlet Boundary 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • J. David Logan
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of Nebraska-LincolnLincolnUSA

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