Picture water droplets

Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Mathematics & Statistics, where continuum mechanics and industrial mathematics is a specialism. Such research seeks to understand fluid dynamics, among many other related areas such as liquid crystals and droplet evaporation.

The Department of Mathematics & Statistics also demonstrates expertise in population modelling & epidemiology, stochastic analysis, applied analysis and scientific computing. Access world leading mathematical and statistical Open Access research!

Explore all Strathclyde Open Access research...

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

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

Full text not available in this repository. Request a copy from the Strathclyde author

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