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A Mathematical Approach to the Homogenization of Nonlocal Composite Materials:
▏Aim of the project
Together with my collaborators, we aim to develop new mathematical ideas to study the behaviour of nonlocal materials and their applications in modern engineering and material science.
▏Members of the project
Giuseppe Cosma Brusca, PhD student, Sissa
Maicol Caponi, Fixed-term researcher, University of L'Aquila
Alessandro Carbotti, Postdoctoral fellow, University of Salento
Alberto Maione, Principal investigator, CRM Barcelona
Fabio Paronetto, Associate Professor, University of Padua
Simone Verzellesi, Postdoctoral fellow, University of Padua
▏Outcome of the project
Publications
M. Caponi, A. Carbotti, A. Maione
H-compactness for nonlocal linear operators in fractional divergence form.
Calculus of Variations and Partial Differential Equations (2025)
Published version (Open Access)J. Duran, A. Maione - Editors (Book)
New Frontiers in Homogenization and Fractional Calculus
Springer-Birkhäuser
Published version
Preprints
A. Maione, F. Paronetto, S. Verzellesi
Variational convergences under moving anisotropies
In preparation
G.C. Brusca, M. Caponi, A. Carbotti, A. Maione, F. Paronetto
H-compactness for nonlocal monotone operators in fractional divergence form.
As a by-product of the Research in Groups IP4RG, the conference New Frontiers in Homogenization and Fractional Calculus took place on March 24-25, 2025.
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