HORIZON EUROPE – MARIE SKLODOWSKA CURIE ACTIONS (MSCA) – “TopSing” – Ambrosio-Tortorelli approach to topological singularities

Project data

Funding Entity: European Commission

Call: HORIZON-MSCA-2023-PF-01

Coordinator: Università di Siena (Italy)

UNISI Principal Investigator: Roberta Marziani, PhD

UNISI supervisor: Prof. Giovanni Bellettini

Department: Department of Information Engineering and Mathematical Sciences (DIISM)

Start date: 1 September 2024

End date: 31 August 2026

 

Description

A unified approach to studying topological singularities

Topological singularities – certain points where continuity breaks down – are intriguing phenomena important for both theory and practical applications. In fields like physics and materials science, they help explain complex structures such as vortices in superconductors, fractures in solids and defects in crystals. Funded by the Marie Skłodowska-Curie Actions programme, the TopSing project will use a new theoretical approach to study certain physical/mechanical problems where singularities appear. Inspired by Ambrosio and Tortorelli’s model, the proposed method seeks a unified way to analyse two main problems involving singularities, making them easier to model and apply in real-world scenarios. In particular, the focus will be on screw dislocations in crystals and their relation with vortices in superconductors, and the non-parametric Plateau problem in codimension-two.

 

Source: CORDIS

 

This project has received funding from the European Union’s Horizon Europe under GA No: 101150549