| EPSRC Reference: |
GR/M05072/01 |
| Title: |
HAMILTONIAN MECHANICS AND SMALL DIVISORS IN PARTIAL DIFFERENTIAL EQUATIONS |
| Principal Investigator: |
Carr, Professor J |
| Other Investigators: |
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| Department: |
S of Mathematical and Computer Sciences |
| Organisation: |
Heriot-Watt University |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
12 May 1999 |
Ends: |
11 November 1999 |
Value (£): |
20,000
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| EPSRC Research Topic Classifications: |
| Mathematical Analysis |
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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The workshop will concentrate on analytic techniques for Hamiltonian mechanics and dynamical systems, and their applications to Hamiltonian PDE. Topics to be discussed include (a) quasi-periodic solutions of PDE (KAM theory), (b) Gibbs measures for PDE with applications to pattern formation, (c) development of high frequency oscillations in PDE using techniques from symplectic geometry (Gromovs capacity), (d) slow manifolds of solutions of PDE (Nekhorochevs capacity), (d) slow manifolds of solutions of PDE (Nekhorochevs theory of metastability).
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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.hw.ac.uk |