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Details of Grant 

EPSRC Reference: GR/R71849/01
Title: INVISCID TURBULENCE AND QUATERNIONS
Principal Investigator: Gibbon, Professor JD
Other Investigators:
Thomas, Professor R
Researcher Co-Investigators:
Project Partners:
Department: Mathematics
Organisation: Imperial College London
Scheme: Standard Research (Pre-FEC)
Starts: 01 October 2002 Ends: 30 September 2004 Value (£): 87,120
EPSRC Research Topic Classifications:
Algebra & Geometry Continuum Mechanics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors Aerospace, Defence and Marine
Related Grants:
Panel History:  
Summary on Grant Application Form
This project is a proposed collaboration between an applied mathematician working in vortex dynamics & a modem differential & algebraic geometer working mainly in the area of gauge theory. It is proposed to work on the three-dimensional Euler equations that govern inviscid turbulent fluid flows. Despite advances in recent years, our knowledge of the dynamics & direction of vorticity has reached an impasse. This proposal aims to exploit the recent results of one of the investigators where it has been shown that the three-dimensional Euler equations have a quatemionic structure in a dependent variable. If certain further technical steps can be achieved then some of the methods & results of 4-manifolds might be applicable to turbulence.
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Summary
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Further Information:  
Organisation Website: http://www.imperial.ac.uk