| EPSRC Reference: |
GR/R79753/01 |
| Title: |
Stability of Discontinuous States in Magnetohydrodynamics |
| Principal Investigator: |
Ilin, Dr K |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of Hull |
| Scheme: |
Fast Stream |
| Starts: |
12 August 2002 |
Ends: |
11 April 2004 |
Value (£): |
61,867
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| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
Mathematical Physics |
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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 proposed research may be divided into two parts that are closely connected. The first part is concentrated on the stability of discontinuous magnetostatic equilibria and steady magnetohydrodynamic (MHD) flows of inviscid incompressible perfectly conducting fluids. Here we proposed to generalize the variational theories of Moffatt (1986) and Vladimirov et al. (1999) to the case of discontinuous MHD equilibria and steady flows and obtain sufficient and, where possible, necessary conditions for linear stability of these discontinuous states. Then, we proposed to obtain sufficient conditions for genuine nonlinear stability at least for some particualr classes of discontinuous MHD states. The second part of the proposed research is devoted to the stability of non- ideal analogues of discontinuous MHD states in the resistive magnetohydrodynamics of viscous fluids. Here, we propose to consider two general problems. First, we plan to develop a rigorous asymptotic theory of the effect of small resistivity and visocsity on the stability of discontinuous equilibria. Second, we propose to investigate the stability of equilibria of the interface between two fluids with different viscosities and conductivities. We expect to obtain sufficient conditions for both llinear and nonlinear stability and sufficient conditions for linear stability of the interface.
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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.hull.ac.uk |