| EPSRC Reference: |
GR/R97825/01 |
| Title: |
Boundary value problems for linear PDEs with variable coefficeients and the role of solition theory in hydrodynamics |
| Principal Investigator: |
Fokas, Professor A |
| Other Investigators: |
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| Department: |
Applied Maths and Theoretical Physics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 May 2002 |
Ends: |
31 July 2002 |
Value (£): |
6,150
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| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
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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A new method for studying initial-boundary value problems for integrable PDEs in two dimensions has been recently introduced by the PI. Examples of integrable PDEs are linear PDEs with constant coefficients and the usual nonlinear integrable PDEs. We propose to identify large classes of linear PDEs with variable coefficients which are integrable and to solve physically meaningful boundary value problems for such PDEs.It has been recently shown by C. Rogers that a class of hydrodynamic motions which were investigated in the doctoral thesis of L. Howard can be reduced to the Heisenberg spin equation, which is a nonlinear integrable equation. We propose to initiate a program of study to investigate if the underlying geometric-soliton approach can be used in other hydrodynamic and magnetohydrodynamic systems.
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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 |