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Large time asymptotics for a generalised Burger’s equation

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  • Full or part time
    Prof D Needham
  • Application Deadline
    Applications accepted all year round
  • Competition Funded PhD Project (European/UK Students Only)
    Competition Funded PhD Project (European/UK Students Only)

Project Description

This project considers the large time structure of the solution to the Cauchy problem for a generalised viscous Burger’s PDE. The theory will be developed via matched asymptotic coordinate expansions. The aim is to identify the coherent structures, and their details, which emerge as robust features in the large time evolution. We anticipate that this will include classical viscous shocks, sonic shocks and expansions. Convergence rates to these structures, and to propagation speeds, will be considered in detail in the large time.

Funding Notes

This research project is one of a number of projects at this institution. It is in competition for funding with one or more of these projects. Usually the project which receives the best applicant will be awarded the funding. The funding is only available to UK citizens or those who have been resident in the UK for a period of 3 years or more.

Non-UK Students: If you have the correct qualifications and access to your own funding, either from your home country or your own finances, your application to work on this project will be considered.

Related Subjects

How good is research at University of Birmingham in Mathematical Sciences?

FTE Category A staff submitted: 40.00

Research output data provided by the Research Excellence Framework (REF)

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