Project Title: Nonlocal Partial Differential Equations: entropies, gradient flows, phase transitions and applications
Applied Mathematics and Mathematical Physics Section
Department of Mathematics
South Kensington Campus
Salary Range: £36,070 – £43,350 p.a.
Fixed Term for: 24 Months
Starting Date: Negotiable, with a preference on 1st September 2017
Applications are invited for Research Associate position in the Department of Mathematics at Imperial College London to work in the areas of nonlocal Partial Differential Equations. The position is funded through the Engineering and Physical Sciences Research Council through the EPSRC Grant EP/P031587/1 Nonlocal Partial Differential Equations: entropies, gradient flows, phase transitions and applications. The Research Associate will work directly with Professors J.A. Carrillo and G.A. Pavliotis and they will join a large, vibrant research group working on problems related to partial differential equations, statistical mechanics and stochastic differential equations with current research activities on gradient flows, nonlocal PDEs, phase transitions and numerical analysis for multiscale systems.
The main aims of this project are
• The rigorous study of mean field limits for interacting diffusions in rugged potential energy landscapes: analysis of phase transitions, stability of stationary states, and design of control strategies for stabilization.
• The development of efficient numerical methods for the study of nonlinear nonlocal Fokker-Planck type equations.
• The design and analysis of evolutionary global optimization methodologies for potentials exhibiting metastability–i.e. potentials with many local minima.
• The application of the analytical and computational techniques that we will develop to mathematical models in the social sciences. The emphasis on particular aspects of the project will depend partially on the expertise of the candidate.
You should have a good first degree (or equivalent) in Mathematics, Physics, or a related area and a PhD in Mathematics, or an equivalent level of professional qualifications and experience. You must have a demonstrable research track record in Partial Differential Equations and/or Stochastic Processes. You should have strengths in at least one of the following areas: applied partial differential equations, numerical analysis, or stochastic processes. Expertise on analytical and computational multiscale methods for PDEs, or on the analysis of PDEs are highly desirable. You must display clear evidence of outstanding promise and originality in research and have a good publication record. A high degree of self-motivation and independence will also be required.
The successful candidate will be expected to work effectively within a team, have the ability to develop and apply new concepts, and have a creative approach to problem-solving. You will also be expected to demonstrate excellent verbal and written communication skills, and be able to write clearly and succinctly for publication.
Our preferred method of application is online via our website http://www.imperial.ac.uk/job-applicants/ (please select “Job Search” then enter the job title or vacancy reference number NS2017064KL into “Keywords”). Please complete and upload an application form as directed, also providing a CV (including list of publications) and a cover letter.
Should you have any queries regarding the application process, please contact Mrs Rusudan Svanidze, Research Operations Manager, Email: firstname.lastname@example.org Imperial Managers lead by example.
*Candidates who have not yet been officially awarded their PhD will be appointed as Research Assistant within the salary range £31,740 – £33,370 per annum.
Closing date: 10 May 2017
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