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Some old and new moving boundary problems for Hele-Shaw flow

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CAT - Complex analysis: techniques, applications and computations

When a less viscous fluid is injected into a more viscous fluid in a
Hele-Shaw, the interface between the fluids is unstable. This is the
Saffman-Taylor instability which can give rise to a striking pattern formation
at the interface. The usual model for this type of flow is a
two-dimensional moving boundary problem which is amenable to complex variable
methods, especially in the special case in which surface tension is ignored.
For non-standard geometries progress can be made via numerical simulation,
using a level set formulation for example. Some recent experimental,
analytical and numerical studies of non-standard moving boundary problems in
Hele-Shaw flow will be discussed. This is joint work with Liam Morrow,
Tim Moroney and Michael Dallaston.

This talk is part of the Isaac Newton Institute Seminar Series series.

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