Call of interest - Post Doc positions in Trento [BRIDGE FIS-project]

Abstract Partial differential equations are ubiquitous in science and describe a stunning variety of physical phenomena, encompassing diverse topics such as fluid-mechanics, electromagnetism and crystalline structures, just to mention a few. While their use is nowadays common in mathematical modelling, their fine analysis still poses major challenges, many of which stem from the lack of smoothness or regularity of the objects involved in the equations. Of particular relevance is the study of transport-type equations, which describe, among others, the movement and the evolution of fluids. Examples come easily: turbulent air currents trailing a modern jet, waves following boats across a river, blood and lymph coursing through the human body, milk stirred in a coffee mug or even elastic deformations within materials - they are all transport phenomena. The BRIDGE project aims to further our current understanding of irregular transport phenomena and of the geometrical aspects arising from their mathematical description. The proposed research imposes a combination of techniques borrowed from several areas and promises bridges between Analysis of PDEs and Calculus of Variations, Harmonic Analysis and Geometric Analysis, fostering new exciting avenues of research at the interface of these disciplines.