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:	Aerospace, Defence and Marine No relevance to Underpinning Sectors
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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Organisation Website:	http://www.imperial.ac.uk