The evolution of travelling waves in reaction-diffusion equations with monotone decreasing diffusivity. II. Abruptly vanishing diffusivity

D. J. Needham, A. C. King

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper we continue our study of some of the qualitative features of chemical polymerization processes by considering a reaction-diffusion equation for the chemical concentration in which the diffusivity vanishes abruptly at a finite concentration. The effect of this diffusivity cut-off is to create two distinct process zones; in one there is both reaction and diffusion and in the other there is only reaction. These zones are separated by an interface across which there is a jump in concentration gradient. Our analysis is focused on both the initial development of this interface and the large time evolution of the system into a travelling wave form. (from Authors)

Original languageEnglish
Pages (from-to)361-378
Number of pages18
JournalPhilosophical Transactions - Royal Society of London, A
Volume350
Issue number1694
DOIs
Publication statusPublished - 1 Jan 1995

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'The evolution of travelling waves in reaction-diffusion equations with monotone decreasing diffusivity. II. Abruptly vanishing diffusivity'. Together they form a unique fingerprint.

Cite this