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

Official URL: http://dx.doi.org/10.1017/S0956792511000076

## 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 |
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ID code: | 35934 |

Keywords: | quasilinear parabolic equations, saturating, stationary solutions, prescribed mean curvature equation, Mathematics, Applied Mathematics |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Pure Administrator |

Date Deposited: | 16 Nov 2011 14:56 |

Last modified: | 24 Jul 2015 04:13 |

URI: | http://strathprints.strath.ac.uk/id/eprint/35934 |

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