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The position is funded by the Engineering and Physical Sciences Research Council and will involve analysis of Partial Differential Equations (PDE) emerging in Mathematical Fluid Mechanics and Kinetic Theory.
The project is devoted to analysis of hydrodynamic models of interacting agents. The goal is to develop the existence and stability theory for degenerate hydrodynamic equations (Navier-Stokes, Euler) with nonlocal interaction forces, and possibly systems describing multi-component or multi-phase flows, using a mix of techniques from functional, harmonic or stochastic analysis, measure theory, theory of linear and quasi-linear parabolic and hyperbolic conservation laws.
You will be working with Prof. Ewelina Zatorska and her team based in the Warwick Maths Institute, a world-leading mathematics department. You will have, if desired, opportunities to travel in the UK and abroad, on research visits to collaborating groups and to conferences. You will be given both time and mentoring support to develop your own research profile and broader skills.
You should have (or be due to submit soon) a PhD, or have equivalent level of professional qualifications and/or experience in analysis of PDEs or closely related fields.
You have published original research results in analysis of PDEs, functional analysis, measure theory or numerical analysis, commensurate with career stage.
You can demonstrate strong background in fluid mechanics and/or kinetic theory.
You are able to carry out original research, to identify, develop and apply new concepts, techniques and methods.
You can work effectively in a larger research group and have the ability to communicate its results to the wider research community.
You will have excellent communication and presentation skills, and be comfortable talking about your work with academics from other disciplines and non-specialists. You will have a record of research papers published in journals (or accepted to be published). You will have a high capacity for original research and creative thought, as well as the ability to manage your time effectively across multiple strands of research.
You will be working as part of an inclusive and flexible team, based in the Warwick Maths Institute, a world-leading mathematics department. You will have, if desired, opportunities to travel in the UK and abroad, on research visits to collaborating groups and to conferences. You will be given both time and mentoring support to develop your own research profile and broader skills.
For details on the experience and skills required, please refer to the job description attached as a PDF below.
PhD Status
If you are near submission of your PhD, or have not yet had it conferred, any offers of employment will be made at Research Assistant level, at the highest spinal point of pay grade 5 (£34,610 per annum).
Upon receipt of evidence confirming the successful award of your PhD, you will be promoted to Research Fellow, at the lowest spinal point of grade 6 (£35,608 per annum).
The Warwick Mathematics Institute is internationally recognised for its research and our best undergraduates are a match for those at any other UK university. We run a wide range of weekly seminar series, and many workshops and conferences, for which our Mathematics Research Centre provides organisational support.
A list of our staff and their research interests can be found on this webpage, and you can see our undergraduate modules list on this webpage.
We are committed to fostering an inclusive environment, and we would particularly welcome applications from groups that are under-represented in UK mathematics. We are working hard towards improving our gender balance: we currently hold a Bronze Athena Swan award and our energetic Equality, Diversity, and Inclusion committee plays a significant role in shaping departmental policy.
We are an internationally diverse department. For those eligible, the University offers relocation and Immigration Support Scheme packages to assist with costs of relocating and any associated visa applications and IHS (health) surcharge fees.
We are a world-leading research-intensive university founded in 1965. We are ranked 74th in the world and 9th in the UK.* Additionally, 92% of our research is rated world-leading or internationally excellent.**
Find out more about us at warwick.ac.uk/about/.
* World University Ranking 2026, Complete University Guide 2026
** Research Excellence Framework 2021
Closing Deadline: Sunday 30th August 2026 at 11:55pm (UK Time)*
To apply, please click APPLY below and submit an application form by the closing deadline.
You will be asked to include a CV and Cover Letter. These documents should:
Please ensure your application clearly evidences the essential criteria, as the hiring panel may not be able to shortlist your application if these are not demonstrated.**
* Applications must be submitted through the warwick-careers.tal.net portal before the closing deadline. We recommend completing your application form in good time, as the advert will automatically close at the deadline.
** You are welcome to include any career breaks, such as parental leave, caring responsibilities, or long-term sickness absence. For guidance on how to format a cover letter, see here.
We provide a comprehensive range of benefits, including:
We recognise the importance of a healthy work/life balance and offer access to flexible working arrangements.
Where possible, we offer hybrid working arrangements that combine office-based and remote working. Opportunities for hybrid working will depend on the requirements of the role, business needs of the department and can be discussed during the recruitment process.
For more information, see here.
We are proud to be a Living Wage employer.
If you do not yet have the right to work in the UK and/or are seeking sponsorship for a Skilled Worker visa, please follow this link which contains further information about obtaining the right to work in the UK.
This opportunity is closed to applications.