Title: Exponential Asymptotics of Travelling Waves in Particle Chains
Project overview: The purpose of the PhD project is to develop and apply exponential asymptotic methods for studying generalized solitary waves in singularly-perturbed discrete systems, such as particle chains and lattices. The project will make significant use of asymptotic techniques, as well as the study of solutions to differential and difference equations. The student will receive research training and mentoring by Dr Lustri, culminating in the submission of a PhD thesis.
The PhD scholarship is open to a domestic candidate. It runs for 3 years and will be funded by the ARC DP grant (DP190101190) of Dr Lustri. The successful candidate will be based in the Department of Mathematics at Macquarie University for the full 3-year duration of the project. There are travel funds available for the student to present their work at conferences. The student base salary can be supplemented by teaching duties such as marking and tutorial delivery.
Qualifications and desirable qualities: The successful candidate should have completed an Honours degree (or equivalent) in mathematics or the physical sciences. A basic knowledge of asymptotic analysis is strongly desirable. A basic knowledge of partial differential equations, numerical methods, or complex variable theory is desirable, as is any prior research experience, e.g. participation in a summer vacation research programme.
The application procedure consists of 2 steps.
• First, applicants must submit an application containing: a cover letter, a CV, one or two letters of recommendation, copies of degree certificates, and transcripts of examination results, to email@example.com.
• Second, short-listed candidates will be interviewed via Skype for approximately 20 minutes, after which a decision on the preferred candidate will be made. The preferred candidate will then need to be formally accepted by Macquarie University.
For further information about this opportunity, please contact Dr Lustri on the above email.