| EPSRC Reference: |
GR/M67162/01 |
| Title: |
(PRF) COMPLEX VARIABLE METHODS APPLIED TO FREE BOUNDARY PROBLEMS |
| Principal Investigator: |
Cummings, Dr LJ |
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| Project Partners: |
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| Department: |
Sch of Mathematical Sciences |
| Organisation: |
University of Nottingham |
| Scheme: |
Postdoc Res Fellowship PreFEC |
| Starts: |
01 October 1999 |
Ends: |
30 September 2001 |
Value (£): |
61,125
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| EPSRC Research Topic Classifications: |
| Non-linear Systems Mathematics |
Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Complex variable methods for moving boundary problems will be further developed by investigating various aspects of two specific free boundary problems: void migration within a metal conductor subjected to an intense electrical current, and two-dimensional slow viscous flow. Relatively little is known about the former, and the questions addressed will therefore (at least in the first instance) be relatively basic (seeking travelling-wave solutions without surface tension effects in unbounded strip geometries, seeking exact solutions to the unsteady problem without surface effects, investigating the effect of small surface tension on such solutions, etc). Much more is known about Stokes flow, and the questions we shall address are correspondingly more subtle. While there is an established complex variable theory, enabling many explicit solutions to be generated, many open questions remain about the generic behaviour of solutions and, in particular, about the development of singularities. A general goal of the research is thus to arrive at an understanding of the singularity dynamics, in particular as the surface tension parameter tends to zero. Complex variable methods will be complemented by asymptotic and numerical approaches, and the applicability of the methods to other moving boundary problems will be investigated.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.nottingham.ac.uk |