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Nonlinear Wave Propagation

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  • Full or part time
    Prof J Leach
  • Application Deadline
    Applications accepted all year round
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

The project will focus on the propagation of waves in mathematical models based on nonlinear evolution equations. These models could arise from applications in chemistry, biology or physics. In particular, the aim will be to determine the complete large-time structure of the solution to a range of initial-value and initial boundary-value problems. Of specific interest will be the large-time attractors for the solutions to the problems considered. The nonlinear systems to be examined admit structures that are temporally or spatially coherent, and these coherent structures could be extremely simple (such as an expansion wave solution) or be very complex (being formed from a collection of simpler structures). The project requires the application of a range of mathematical techniques including: the method of matched asymptotic expansions, dynamical systems theory, the theory of ordinary and partial differential equations and numerical methods. Training will be provided the in above areas, but experience in the theory of differential equations is a prerequisite.

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 who are normally resident in the UK 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, your application to work on this project will be considered.

Related Subjects

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FTE Category A staff submitted: 40.00

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