Projeto PRR

Sumário

In recent years, three professors in this area retired or went on permanent leave of which one was full professor and an emeritus member of the center. In the near future (before the end of the next period - 2029) at least one full professor will retire, prominent member of the center and head of the NADE group for years. This justifies the opening of 2 positions in Analysis. These positions are opened in the following sub-areas, all of which (except Stochastic analysis and Numerical analysis) are already active lines of research in our center. The various sub-areas of Analysis embraced by the call are:Partial Differential Equations (PDE)Calculus of Variations & Optimization (CVO)Stochastic analysis (SA)Numerical analysis (NA)Among these areas, the first has a long tradition in our department, embracing also Continuum mechanics, Mathematical Physics, and Optimal transportation, all offered at Master and/or at post-graduate level, as well as fractional PDEs and Free boundaries and Obstacle problems, leading to research (doctoral or post-doc) in Mathematical modeling in all areas represented by NADE group (currently we have one PhD student in Fractional PDEs with applications to Peridynamics). Calculus of Variations and Optimization is an area represented by four integrated members of our center, with applications such as homogenization, elasto-plasticity and the study of defects in solids. Numerical analysis is currently not very active areas in our center on their own, but there exists numerous connections with Mathematical modeling and Mathematical Physics that could be activated by hiring such a profile. Eventually, Stochastic analysis is a field of growing importance, not only in Financial Mathematics, but also in Mathematical Physics.Justification for research: Special emphasis should be put on PDE profiles, since it is a strength in our group (Schrödinger-type equations, Obstacle problems, Solid and Fluid mechanics, Continuum mechanics), and on Calculus of Variations (ideally with a profile also in Geometric Measure Theory, for their connections with Mathematical Modelling in Solid mechanics). To align with the center strategic lines, this position should be in the sub-area of (in decreasing order of priority): CVO, PDE, SA, NA.