Waiting and propagating fronts in nonlinear diffusion

William L. Kath*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

A nonlinear diffusion equation is considered, where the nonlinearity arises due to the variation of the diffusion coefficient with concentration. If this diffusion coefficient vanishes at a certain value of the concentration, this produces a number of interesting interfacial effects, such as the finite propagation speed of interfaces (in contrast to the infinite propagation speed of linear diffusion) and waiting-time behavior (in which the interfaces can remain stationary for a finite time before beginning to move). A relatively simple singular perturbation analysis is given to explain these effects.

Original languageEnglish (US)
Pages (from-to)375-381
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume12
Issue number1-3
DOIs
StatePublished - Jul 1984

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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