| EPSRC Reference: |
EP/G03866X/1 |
| Title: |
Workshop: Variational and Topological Methods and Water Waves |
| Principal Investigator: |
Burton, Professor GR |
| Other Investigators: |
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| Project Partners: |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Bath |
| Scheme: |
Standard Research |
| Starts: |
01 January 2009 |
Ends: |
31 August 2009 |
Value (£): |
10,683
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| EPSRC Research Topic Classifications: |
| Mathematical Analysis |
Non-linear Systems Mathematics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Panel History: |
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Summary on Grant Application Form |
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The existence of solitary waves on water (first observed by Scott Russell in 1834 on the Union Canal in Edinburgh, but regarded with scepticism for many years) and the existence of an idealised wave of greatest height with sharp crests (conjectured by Stokes in 1880) were generally accepted in the first half of the 20th century, but lacked mathematical proof. For solitary waves of small amplitude, a slightly dubious existence theorem appeared in 1946 and a convincing one in 1954, but a rigorous theory of water waves with no restriction on amplitude began to emerge only in the 1960's and 1970's with the help of modern mathematics (fixed-point theorems in Banach spaces). After J. F. Toland proved the existence of a wave of greatest height in 1978, C. J. Amick (who died in 1991) and Toland began to build a rigorous general theory of water waves (again using modern mathematics). With the help of Buffoni, Dancer, Plotnikov and others, this work has continued to the present. These developments have advanced so far that a workshop can now be held to celebrate the achievements and lend direction to the continuing research efforts of the senior and junior mathematical scientists who are expected to gather for it.
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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.bath.ac.uk |