Research overview. |
This is where the research overview will go. It will be awesome and will take up approximately this much room. This is where the research overview will go. It will be awesome and will take up approximately this much room. This is where the research overview will go. It will be awesome and will take up approximately this much room. This is where the research overview will go. It will be awesome and will take up approximately this much room. This is where the research overview will go. It will be awesome and will take up approximately this much room. There will also be links to the anchor points on this page, such as to Thin Films and research topic 2.
Thin films of liquid occur widely in nature and in industrial processes. We are interested in developing and analysing mathematical models for the evolution of such films. The principal idea is to exploit the large aspect ratio (i.e. the fact that the film is thin), using techniques from asymptotic analysis and differential geometry.
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There are two broad categories of films that behave in rather different ways. The first occurs when a thin layer of liquid flows over a substrate, for example a coating of paint or the tear film on the eye. Such films are often governed by degenerate nonlinear parabolic differential equations, whose properties are of wide current interest in the mathematical community. Rather different behaviour occurs in free liquid films, for example in soap films and foams. These tend to evolve more rapidly, since their surfaces are free and, without a substrate to which to conform, their geometry is unknown in advance. |
Current topics of interest include the following:
- Inviscid thin-film flows
- Thin film behaviour under surface tension
- Coating flow on curved substrates
- Lamella modelling
- Curtain coating
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Research topic 2
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