Details of Grant 

EPSRC Reference:	GR/A10482/01
Title:	NONLINEAR GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS
Principal Investigator:	Topping, Professor P
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	Mathematics
Organisation:	University of Warwick
Scheme:	Advanced Fellowship (Pre-FEC)
Starts:	01 October 2001	Ends:	30 September 2006	Value (£):	205,695
EPSRC Research Topic Classifications:	Algebra & Geometry Mathematical Analysis Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:	Panel Date Panel Name Outcome 16 Nov 2000 Maths Advanced/Senior Fellowship Sifting Panel Deferred
Summary on Grant Application Form
I propose to devote my fellowship to the rigorous study of nonlinear partial differential equations (PDE) arising in geometric problems and physical models, and those whose solutions exhibit interesting phenomena or have practical applications. Most of these equations will have a geometric flavour, and the methods and the intuition will be both analytic and geometric. Many will arise from the Calculus of Variations as elliptic Euler-Lagrange equations or parabolic gradient flow equations.I am particularly interested in understanding certain phenomena which are typical to many different equations, including concentration or 'bubbling' singularities, and the development of global effects from local equations.
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Further Information:
Organisation Website:	http://www.warwick.ac.uk