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Nonlinear acoustic-gravity wave theory

  • Full or part time
  • Application Deadline
    Friday, March 15, 2019
  • Competition Funded PhD Project (European/UK Students Only)
    Competition Funded PhD Project (European/UK Students Only)

Project Description

In the linear theory, gravity waves are virtually decoupled from acoustic (compression) waves, because the propagation speed of acoustic waves far exceeds the maximum phase speed of gravity waves.

However, we found recently that these two types of wave motion could exchange energy via resonant triad nonlinear interactions. This energy exchange is crucial and has various different implications in oceanography, geophysics, multiphase flow in pipelines, and even hydrodynamic quantum analogs. Thus, having a complete nonlinear mathematical model is essential, which is the main objective of this project.

Project aims and methods
The nonlinear asymptotic theory has a broad application in science and engineering. We will continue developing the (general) nonlinear acoustic-gravity wave equation with compressibility, and gravity terms which involves nonlinear interactions at various scales. You will be trained to use multiple scale analysis along with other standard mathematical techniques to derive the general solution in a three-dimensional space. The nonlinear asymptotic theory will have a broad application in science and engineering.

The proposed project requires collaborations with the finest scientists across the Schools of Mathematics, Physics, and Engineering, among others. It is expected that you will be involved in presenting the research work in front of various scientific communities, and will keep a close contact with our relevant network and collaborators in Europe, (JKU Linz; Keele University; University of Bath), and North America (MIT, and University of Delaware).

Funding Notes

UK Research Council eligibility conditions apply.

Full awards (fees plus maintenance stipend) are open to UK Nationals and EU students who can satisfy UK residency requirements. To be eligible for the award, EU Nationals must have been in the UK for at least three years prior to the start of the course for which they are seeking funding, including for the purposes of full-time education.

References

Applicants should submit an application for postgraduate study via the Cardiff University Online Application Service.
http://www.cardiff.ac.uk/study/postgraduate/research/programmes/programme/mathematics

Applicants should select Doctor of Philosophy (Mathematics) with an entry date of October 2019

In the "Research proposal and Funding" section of your application, please specify the project title and supervisors of this project and copy the project description in the text box provided.

Please select “No, I am not self-funding my research” when asked whether you are self-funding your research.

Please add “EPSRC Doctoral Training Partnership PhD in Mathematics" when asked "Please provide the name of the funding you are applying for".

In the research proposal section of your application, please specify the project title and supervisors of this project.

Shortlisted candidates will be invited to attend an interview after the closing date

How good is research at Cardiff University in Mathematical Sciences?

FTE Category A staff submitted: 24.05

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

Click here to see the results for all UK universities

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