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Analysis of Stationary and Transient Partial Differential Equations of Continuum Mechanics and Mathematical Physics


   College of Engineering, Design and Physical Sciences

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  Prof S Mikhailov  No more applications being accepted  Funded PhD Project (UK Students Only)

About the Project

Applications are invited for our EPSRC funded Doctoral Training Partnership (DTP) PhD studentship for the project “Analysis of Stationary and Transient Partial Differential Equations of Continuum Mechanics and Mathematical Physics” starting 1 April 2022. Successful applicants will receive an annual stipend (bursary) of £17,609, including inner London weighting, plus payment of their full-time tuition fees for 36 months (3 years). 

Applicants must be classified as a home (UK) tuition fee paying student to be eligible for this studentship.  

The Project

This research project is focused on mathematical analysis of linear and nonlinear elliptic and parabolic Partial Differential Equations (PDEs) with constant and variable coefficients. The considered PDEs arise naturally in engineering and physics as mathematical models of stationary and transient processes in inhomogeneous media, e.g. heat transfer in inhomogeneous materials with thermo-conductivity coefficients depending on the point temperature and coordinate, materials with damage-induced inhomogeneity, elasto-plastic materials, potential and viscous compressible flows, fluid flows through porous media, electromagnetics and other areas of mathematical physics. Analysis is supposed to be done in appropriate Sobolev-type function spaces by implementing variational techniques, operator calculus, semi-group theory and other methods of functional analysis.  

 Please contact Professor Sergey Mikhailov at [Email Address Removed] to arrange in informal discussion about the project. 

Skills and Experience

Applicants will be required to demonstrate their knowledge and expertise in real analysis, partial differential equations and functional analysis as well as their ability to apply the knowledge to the given project. You should be highly motivated, able to work independently as well as in a team and have appropriate communication skills.

Academic Entry Criteria

You will have or will achieve a 1st class or 2:1 honours degree in Mathematics or a similar discipline. A postgraduate masters degree is not required but may be an advantage. 

How to Apply

Please submit the documents below as a single PDF file by email to [Email Address Removed] by 14:00 on Monday 28 February 2022.  

  • Your up-to-date CV;
  • Your personal statement (300 to 500 words) or cover letter summarising your background, skills and experience;
  • Your Undergraduate/Postgraduate Masters degree certificate(s) and transcript(s);
  • Your English Language qualification of IELTS 6.5 overall (minimum 6.0 in all sections) or equivalent, if appropriate;
  • Contact details for TWO referees, one of whom may be a member of Brunel University academic staff

Interviews will take place in early/mid-March 2022.


Funding Notes

Successful applicants will receive an annual stipend (bursary) of £17,609, including inner London weighting, plus payment of their full-time tuition fees for a period of 36 months (3 years)
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