Accession Number:

ADA089590

Title:

Propagating Waves and Target Patterns in Chemical Systems.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1980-05-01

Pagination or Media Count:

24.0

Abstract:

A class of models for target patterns concentric circular waves emanating from a point called the leading center is constructed in the context of singularly perturbed reaction-diffusion systems of partial differential equations. First, the theory of wave fronts is detailed for scalar equations and systems of equations. A scaling method reduces complex waves to the consideration of a group of simple wave phenomena. It is shown that expanding wave fronts can be generated spontaneously at a point. This process, together with the laws of their subsequent motion, reduces the problem to an ordinary differential initial value problem, whose solution is required to have certain properties. A discussion is given of the connection between these results and experimental observations. Author

Subject Categories:

  • Physical Chemistry
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE