Jürgen Becker and Günther Grün 2005 J. Phys.: Condens. Matter 17 S291 doi:10.1088/0953-8984/17/9/002
Jürgen Becker and Günther Grün
Show affiliationsThis paper is concerned with mathematical aspects of lubrication equations. In the first part, we discuss recent analytical achievements for various types of thin-film equations. Of interest are issues like (non-)uniqueness, wetting behaviour and contact line motion, in particular optimal propagation rates and waiting time or dead core phenomena. In the second part, we shall present novel numerical results for thin-film flow on heterogeneous substrates based on entropy consistent schemes. Finally, we will be concerned with new algorithmic concepts for the simulation of thin-film flow of shear-thinning liquids.
Issue 9 (9 March 2005)
Received 24 November 2004
Published 18 February 2005
Jürgen Becker and Günther Grün 2005 J. Phys.: Condens. Matter 17 S291
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