PhD studentship in Mathematical Sciences

University of Nottingham - School of Mathematical Sciences

Modelling energy localisation and propagation in nonlinear lattices

Supervised by Dr Jonathan Wattis and Dr Dmitrios Chronopoulos

This project will be based at the University of Nottingham in the School of Mathematical Sciences and the Department of Mechanical Engineering.

The aim of this project is to investigate the frequencies and type of wave which permit the transfer of energy through a lattice.

In a nonlinear lattice, nodes are connected to nearest neighbouring nodes by force interactions which are nonlinear in local displacements. In addition, there may be internal degrees of freedom in which complicate the dynamics. Such systems can be modelled mathematically using large systems of coupled differential equations. Depending on the form of interaction and internal modes at lattice sites, energy can propagate through a structure, or be prevented from being transported, depending on the frequency of oscillations. The aim of this project is to use asymptotic analysis and numerical simulations to investigate these systems. The engineering applications of this work include the transport of energy from earthquakes across foundation piles which support buildings, as well as the propagation of such energy up a towerblock.

Summary: UK/EU students - Tuition Fees paid, and full Stipend at the RCUK rate, which is £14,296 per annum for 2016/17. There will also be some support available for you to claim for limited conference attendance. The scholarship length will be 3 or 3.5, depending on the qualifications and training needs of the successful applicant.

Eligibility/Entry Requirements: We require an enthusiastic graduate with a 1st class degree in Mathematics (or other related mathematical field such as Natural Sciences or Physics), preferably at MMath/MSc level, or an equivalent overseas degree (in exceptional circumstances a 2:1 class degree, or equivalent, can be considered).

Apply: This studentship is available to start from September 2017 and remain open until it is filled. To apply please visit the University Of Nottingham application page:

For any enquiries please email:

This studentship is open until filled. Early application is strongly encouraged.

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Midlands of England