EPSRC Reference: 
EP/D052459/1 
Title: 
Exponential asymptotics for integrodifferential equations 
Principal Investigator: 
Crowdy, Professor DG 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Mathematics 
Organisation: 
Imperial College London 
Scheme: 
Mathematics Small Grant PreFEC 
Starts: 
18 March 2006 
Ends: 
17 September 2006 
Value (£): 
10,140

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


EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 

Summary on Grant Application Form 
A large number of physical problems involve the influence of ``small'' effects. An example is the effect of surface tension at the interface between two viscous fluids of differing viscosities. While apparently ``small'', such effects can often be surprisingly influential in determining global dynamical properties of the system. Since the effect is small, mathematically it is natural to attempt an asymptotic expansion in the parameter governing its influence on the problem.However, in many cases, standard asymptotic analysis fails and one has to examine exponentially small terms in order to ascertain the global effect of the small perturbation. This subject of ``exponential asymptotics'' has become a very active field of applied mathematics.Recent work, however, has focussed on rendering many of the mathematical ideas more rigorous. This proposal seeks to continue with the task of putting the subject of exponential asymptotics, especially as it pertains to the analysis of integrodifferential equations, on a more rigorous footing. An initial case study, consisting of the selection problem for the rising Taylor bubble, will be analysed.

Key Findings 
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Summary 

Date Materialised 


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Further Information: 

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