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

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Burns, Martin and Grinfeld, Michael (2011) Steady state solutions of a bi-stable quasi-linear equation with saturating flux. European Journal of Applied Mathematics, 22 (4). pp. 317-331. ISSN 0956-7925 (https://doi.org/10.1017/S0956792511000076)

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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

  • Item type:Article
    ID code:35934
    Dates:
    Date
    Event
    August 2011
    Published
    17 February 2011
    Published Online
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:16 Nov 2011 14:56
    Last modified:11 Nov 2024 09:40
    URI:https://strathprints.strath.ac.uk/id/eprint/35934
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