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IMA Journal of Applied Mathematics Advance Access originally published online on December 4, 2007
IMA Journal of Applied Mathematics 2008 73(4):698-702; doi:10.1093/imamat/hxm062
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© The Author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Experimental evidence of non-unique solutions to a steady non-linear coating flow

J. O. Marston

Department of Chemical Engineering and School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK

S. P. Decent{dagger}

School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK

M. J. H. Simmons

Department of Chemical Engineering, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK

{dagger} Email: s.p.decent{at}bham.ac.uk

Received on September 13, 2007; Accepted on October 30, 2007

Experimental observations of a coating flow are described, including evidence of a new qualitative feature, namely, that the steady stable flow field is not always unique for certain fixed values of the physical parameters. Since the mathematical modelling of these processes is the subject of some controversy, this potentially provides a qualitative test of competing proposed models.


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