The NCN Maestro project Beyond classical hydrodynamics - new mathematical description of physical phenomena, led by prof. dr hab. Agnieszka Świerczewska-Gwiazda, is offering 3 postdoctoral research positions in the Institute of Applied Mathematics and Mechanics at the Faculty of Mathematics, Informatics and Mechanics of the University of Warsaw.

Selected candidates will be employed as full-time researcher (pol. adiunkt). The duration of employment is for one year, with possible extension for another 12 months. The expected starting date is around 1st September 2025, up to an agreement between the candidates and the principal investigator. The offered salary is around PLN 8 850 gross/month. The positions come with no teaching obligations and generous travel budget as well as computer equipment. Selected candidates will work on mathematical analysis of partial differential equation models in fluid mechanics and biological processes.

The project investigates the mathematical foundations of fluid mechanics, focusing on the limitations of classical models, such as the Euler and Navier-Stokes equations, in real-world applications. Recent discoveries, such as the existence of infinitely many low-regularity solutions, reveal pathological behaviors that undermine the predictive reliability of these models. Therefore, the research considers complex factors, such as electric fields, capillary effects, vortices, and phase transitions, going beyond traditional theoretical frameworks. One of the key objectives is to establish rigorous connections between different models describing the same phenomena at various scales. This approach aims to address challenges related to nonlinear systems and deepen the theoretical understanding of fluid dynamics. The research findings will also provide insights into related areas, such as biological systems, which conceptually resemble fluid mechanics.

We expect that candidates at the moment of employment hold a PhD degree in mathematics - the degree can be obtained no earlier than 7 years before the year of employment in project - and have an excellent background in one or more of the following fields: partial differential equations, functional analysis, measure theory.

An application should include Curriculum Vitae that:

Applications, as well as further questions on both the scientific topic of the project and on formal details of the call procedure should be directed to prof. dr hab. Agnieszka Świerczewska-Gwiazda:

In order to apply for the position, candidates should send an e-mail and submit the documents as attached .pdf files.

The applications will be evaluated by a selection committee appointed by the Dean of the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw. The committee may invite candidate to a meeting, which will be conducted remotely. The results of the competition will be sent to candidates electronically on 15 th April 2025 at the latest. The competition is the first stage of the recruitment process as described in the Statute of the University of Warsaw, the recommendation by the selection committee being a basis for its subsequent stages.