Steady-state solutions of a mass-conserving bistable equation with a saturating flux

Burns, Martin and Grinfeld, Michael (2012) Steady-state solutions of a mass-conserving bistable equation with a saturating flux. Journal of Engineering Mathematics, 77. pp. 163-180. ISSN 0022-0833 (https://doi.org/10.1007/s10665-012-9536-2)

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Abstract

We consider a mass-conserving bistable equation with a saturating flux on an interval. This is the quasilinear analogue of the Rubinstein–Steinberg equation, suitable for description of order parameter conserving solid–solid phase transitions in the case of large spatial gradients in the order parameter. We discuss stationary solutions and investigate the change in bifurcation diagrams as the mass constraint and the length of the interval are varied.

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• Item metadata

  Item type:	Article
  ID code:	42894
  Dates:	Date Event 2012 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	15 Feb 2013 16:34
  Last modified:	11 Nov 2024 10:20
  Related URLs:	Scopus publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/42894