| EPSRC Reference: |
EP/F034911/1 |
| Title: |
Aspects of nonlinear evolution PDEs |
| Principal Investigator: |
Fokas, Professor A |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Department: |
Applied Maths and Theoretical Physics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research |
| Starts: |
12 March 2008 |
Ends: |
11 June 2008 |
Value (£): |
16,407
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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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Summary on Grant Application Form |
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During the three-month research visit of Professor Himonas to Cambridge we will investigate two problems:(a) The Cauchy problem for a certain integrable generalisation of the nonlinear Schroedinger (NLS)equation. This equation is actually related with the NLS in the same way that the Camassa-Holmequation is related to the Korteweg-de Vries equation. We will use both the inverse scattering transform method and PDE techniques for the analysis of the Cauchy problem. (b) Initial-boundary value problems on the half-line for a large class of nonlinear evolution PDEs whose linear part is dispersive. We will consider the nonlinearity as forcing and we will use a general formula obtained recently for the solution of linear dispersive equations at the half-line to formulate an integral equation. This latter equation will be analysed using PDE techniques.
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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.cam.ac.uk |