| EPSRC Reference: |
GR/S60259/01 |
| Title: |
A new formulation of water waves in three dimensions & their integrable reductions |
| Principal Investigator: |
Fokas, Professor A |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Applied Maths and Theoretical Physics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
10 August 2003 |
Ends: |
09 November 2003 |
Value (£): |
3,500
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| EPSRC Research Topic Classifications: |
| Mathematical Analysis |
Non-linear Systems Mathematics |
| Numerical Analysis |
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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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A new method for studying initial-boundary value problems for integrable PDE's has been recently introduced by the PI and extended by several researchers. An important ingredient of the new method is the realisation that the problem of determining the missing boundary values for a given boundary value problem can be reduced to the analysis of a certain global algebraic relation satisfied by those boundary values. This analysis has led to what appears to be a new formulation of the classical two-dimensional water waves. This analysis will be extended to three dimensions and the mathematical structure of the equations obtained will be elucidated. Furthermore, the small amplitude, long wave limit of this formulation will be studied. It is expected that this will yield the KP as well as other integrable PDE's.
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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 |
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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.cam.ac.uk |