I am a Ph.D. student in the research group Multiscale Calculus of Variations led by Elisa Davoli at the Institute of Analysis and Scientific Computing of TU Wien (Vienna).
I am also member of the FWF project Analysis and modeling of magnetic skyrmions led by Giovanni Di Fratta (University of Naples).
My research focuses on variational problems arising in Physics and Materials Science, using mathematical techniques from the theory of Calculus of Variations and Partial Differential Equations.
Some of the current research topics are:
Variational analysis in Micromagnetics
Nonlocal-to-local analysis
Multiscale problems
Dislocation Theory
You can check my CVGMT profile here: cvgmt: Rossella Giorgio (sns.it)
E. Davoli, G. Di Fratta, R. Giorgio. A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions. SIAM Journal on Mathematical Analysis. (2024) https://doi.org/10.1137/24M1632577
G. Di Fratta, R. Giorgio, L. Lombardini. Nonlocal Micromagnetics: Compactness Criteria, Existence of Minimizers and Brown's Fundamental Theorem. (2025) Submitted. arXiv:2502.05532
Contributed talk at XXXIV Convegno Nazionale di Calcolo delle Variazioni, Riccione, Italy (Feb 10-14, 2025)
Contributed poster at 3rd SFB International Workshop 2025 Taming Complexity in Partial Differential Systems, University of Vienna, Austria (Feb 24-26, 2025)
