| EPSRC Reference: |
GR/A11502/01 |
| Title: |
AF:RESEARCH IN COMPLEX DYNAMICS/FAST DYNAMO THEORY |
| Principal Investigator: |
Kozlovski, Dr O |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
University of Warwick |
| Scheme: |
Advanced Fellowship (Pre-FEC) |
| Starts: |
01 September 2001 |
Ends: |
31 August 2006 |
Value (£): |
225,993
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| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
Mathematical Analysis |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Related Grants: |
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| Panel History: |
| Panel Date | Panel Name | Outcome |
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16 Nov 2000
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Maths Advanced/Senior Fellowship Sifting Panel
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Deferred
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Summary on Grant Application Form |
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The question addressed in the first part of this project arises very naturally. Indeed, assume that some scientist tries to describe mathematically a natural phenomenon by means of Dynamical Systems and to understand the properties of the obtained dynamical system. Certainly, in order to get a reasonable model to study one has to simplify it, to neglect some terms and so on. Moreover, if the parameters of the model are obtained experimentally, then they cannot be exact. So, if a property of the dynamical system is found, it must be checked whether this property preserves under a small perturbation of the dynamical system. If it does not, then it is likely that this special property has nothing to do with the dynamics of the original phenomenon.The first part of the proposal is. a next step in description of Dynamical systems whose topological properties do not change after small perturbations. Hopefully, after its completion we will be able to describe such Dynamical systems precisely in the case of dimension one. The solution of the multidimensional problem is still far beyond the reach.The second part of the proposal is devoted to a quite different subject. It is well known that the processes happening in our Sun affect people. There is a statistical evidence that the magnetic storms in the Sun cause the increase of heart attacks on the Earth. So, the study of the magnetic field of the Sun has very important practical applications.The main aim of this part of the project is to provide a systematic study of a model which describes how the magnetic field can be exponentially amplified and maintained by the motion of plasma for large values of magnetic Reynolds number (for the Sun the magnetic Reynolds number has the order of 100,000,000).
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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.warwick.ac.uk |