EPSRC Reference: 
EP/C545044/1 
Title: 
Function theory in multiplyconnected domains & applications to physical systems 
Principal Investigator: 
Crowdy, Professor DG 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Mathematics 
Organisation: 
Imperial College London 
Scheme: 
Standard Research (PreFEC) 
Starts: 
01 January 2006 
Ends: 
31 December 2008 
Value (£): 
174,388

EPSRC Research Topic Classifications: 
Continuum Mechanics 
Mathematical Analysis 
Nonlinear Systems Mathematics 


EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 
Panel Date  Panel Name  Outcome 
18 Apr 2005

Mathematical Sciences ARF interviews

Deferred

14 Mar 2005

Maths Fellowships 2005 Sifting Panel

Deferred


Summary on Grant Application Form 
Multiplyconnected domains are what mathematicians call regions with holes . In physics, the holes can correspond to lots of different things such as air bubbles in fluids or regions of swirling motion (for example, storm systems or hurricanes) in the atmosphere or different clusters of bacteria competing for a common food supply. Thus, the mathematical concept of a multiplyconnected domain occurs in many different places in the study of everyday phenomena. To understand such phenomena, it is necessary to study and understand mathematical models of them. This requires a knowledge of mathematical functions and techniques specially tailored to the multiplyconnected domains in which these phenomena are taking place. Unfortunately, mathematicians in the past who have developed the mathematics of functions in multiplyconnected domains have not done a very good job of translating the significance of their results to scientists interested in describing and studying everyday phenomena such as bubbles in fluids or the motion of storm systems. Yet, recent work by the PI has shown that if one can successfully translate these mathematical results and demonstrate their applicability to these various everyday phenomena, powerful new techniques become available to those scientists who study them, making their jobs much easier and leading to new Insights. This research proposes to continue in this crusade to develop and apply the mathematical results of classicalfunction theory and complex analysis to reallife problems.

Key Findings 
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Potential use in nonacademic contexts 
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Impacts 
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Date Materialised 


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Project URL: 

Further Information: 

Organisation Website: 
http://www.imperial.ac.uk 