Steady state solutions of a bi-stable quasi-linear equation with saturating flux

Martin Burns, Michael Grinfeld

Research output: Contribution to journalArticle

24 Citations (Scopus)
2 Downloads (Pure)

Abstract

We consider the bistable equation proposed by Rosenau to replace the Allen-Cahn equation in the case of large gradients. We discuss the bifurcation problem for stationary solutions of this equation on an interval as the diusion coecient and the length of the interval are varied, concentrating on classical solution
Original languageEnglish
Pages (from-to)317-331
Number of pages15
JournalEuropean Journal of Applied Mathematics
Volume22
Issue number4
Early online date17 Feb 2011
DOIs
Publication statusPublished - Aug 2011

Keywords

  • quasilinear parabolic equations
  • saturating
  • stationary solutions
  • prescribed mean curvature equation

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