Research Associate in Analysis of Partial Differential Equations

Imperial College London

Job description
Job summary

The position is funded by Dr. Coti Zelati’s EPSRC “Stable structures and chaotic dynamics in fluid flows”. It will involve the analysis of dynamical aspects of fluid and related equations.

Duties and responsibilities

You will work closely with Michele Coti Zelati on topics related to Partial Differential Equations, Stochastic Analysis, and Dynamical Systems, with particular emphasis on fluid dynamics, transport equations, mixing and stochastic PDEs.

The proposed research aims at the development of new mathematical tools in partial differential equations, harmonic analysis and probability to help understand cascade mechanisms in fluids – ubiquitous phenomena in nature that, to these days, remain poorly understood from the mathematical viewpoint. The goal is to tackle, from a rigorous mathematical perspective, central questions regarding the stability and long-time behaviour of the Navier-Stokes and Euler equations of incompressible fluids.

You will be active part of the organization of the applied PDEs seminar, will participate to reading classes and informal seminars on research-level topics, and generally be an enthusiastic and committed full time postdoctoral researcher in the team.

Essential requirements

The essential requirements for this post are as follows:

  • Hold, or be near completion of, a PhD (or equivalent) in Mathematics or a field related to the programme
  • Experience of research in analysis, probability, dynamical systems
  • Knowledge of analysis of nonlinear PDEs
  • Clear evidence of outstanding promise and originality in research, with a good publication record, commensurate with career stage
  • Excellent written communication skills and the ability to write clearly and succinctly for publication
  • Ability to identify, develop and apply concepts, techniques and methods in new contexts
  • Ability to keep accurate records of research results and activity, help with reporting
  • Ability to exercise initiative and judgement in carrying out research tasks
  • Ability to conduct a detailed review of recent literature
  • Creative and open approach to problem-solving
  • Ability to organise own work independently
  • Ability to prioritise own work in response to deadlines
  • Ability to work effectively with a team of researchers and across disciplines
  • High level analytical capability
  • Ability to assess resource requirements and deploy them effectively
  • Willingness and ability to report and present work to a wider community

Further information

This is a full time, fixed term position for 24 months. The expected start date is 1 September 2024 or soon thereafter. You will be based at South Kensington Campus.

*Candidates who have not yet been officially awarded their PhD will be appointed as Research Assistant within the salary range, £40,694- £43,888 per annum.

In addition to completing the online application, candidates should attach:

  • A full CV,
  • A 2-page research statement describing why the candidate’s expertise is relevant to this position and future research plans; and
  • The details of three referees.

For any specific queries regarding the post please contact Dr Michele Coti Zelati – [email protected]

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