Emanuela Radici - Research

Research Interests

I am interested in various fields of mathematical analysis, with particular focus on the theories of calculus of variations and optimal transport. My research interests mainly follow two different lines. The first one regards geometric properties of homeomorphisms and quasi-conformal mappings and finds motivation in problems arising in the study of existence and regularity in Nonlinear Elasticity. The second one focuses on discrete-to-continuum approximation results for the well-posedness of (congested) transport equations and, when possible, for the associated gradient-flow evolutions.

In Peer Review

S. Di Marino, S. Murro, E. Radici "The five gradients inequality on differentiable manifolds" (2023)
S. Fagioli, E. Radici, L. Romagnoli "On a chemotaxis-apotaxis model with nonlinear diffusion modelling multiple sclerosis" (2023)
D. Campbell, A. Kauranen, E. Radici "Classification of area-strict limits of planar BV homeomorphisms" (2022)
E. Marconi, E. Radici, F. Stra "Stability of quasi-entropy solutions of non-local scalar conservation laws" (2022)
S. Di Marino, L. Portinale, E. Radici "Optimal transport with nonlinear mobilities: a deterministic particle approximation result" (2022)

Published & Accepted Papers

D. Campbell, A. Kauranen, E. Radici "Minimal extension for the α-Manhattan norm" to appear on Rendiconti Lincei: Matematica e Applicazioni, (2023)
S. Daneri, E. Radici, E. Runa "Deterministic particle approximation of aggregation diffusion equations with nonlinear mobility" J. Hyperb. Diff. Equations 20-3, 707-744 (2023)
S. Fagioli, A. Kaufmann, E. Radici "Optimal control problems of nonlocal interaction equations" ESAIM: COCV 29, 40 (2023)
D. Campbell, A. Kauranen, E. Radici "Classification of strict limits of planar BV homeomorphisms" J. of Functional Analysis 285, 109953 (2023)
E. Radici, F. Stra "Entropy Solutions of Mildly Singular Nonlocal Scalar Conservation Laws with Congestion via Deterministic Particle Methods" SIAM J. Math. Anal. 55-3, 2001-2041 (2022)
S. Daneri, E. Radici, E. Runa "Deterministic particle approximation of aggregation-diffusion equations on unbounded domains" J. Differential Equations 312, 474-517 (2022)
D. Campbell, A. Pratelli, E. Radici "Comparison between the non-crossing and the non-crossing on lines properties" J. Math. Anal. and Appl. 498-1, 124956 (2020)
S. Fagioli, E. Radici "Opinion formation systems via deterministic particle approximation" Kinet. Relat. Models 14-1, 25-44 (2020)
C. Dappiaggi, F. Finster, S. Murro, E. Radici "The Fermionic signature operator in De Sitter spacetime" J. Math. Anal. and Appl. 485-2, 123808 (2020)
M. Di Francesco, S. Fagioli, E. Radici "Deterministic particle approximation for nonlocal transport equations with nonlinear mobility" J. Differential Equations 266, 2830-2868 (2019)
A. Pratelli, E. Radici "Approximation of BV planar homeomorphisms by diffeomorphisms"J. of Functional Analysis 276, 659-686 (2019)
S. Fagioli, E. Radici "Solutions to aggregation-diffusion equations with nonlinear mobility constructed via a deterministic particle approximation" Math. Mod. and Meth. in App. Sci. 28, 1801-1829 (2018)
D. Campbell, S. Hencl, A. Kauranen, E. Radici "Strict limits of BV planar homeomorphisms" Nonlinear Analysis 177, 209-237 (2018)
A. Pratelli, E. Radici "On the planar minimal BV extension problem" Rendiconti Lincei: Matematica e Applicazioni 29-3, 511-555 (2018)
A. Pratelli, E. Radici "On the piecewise approximation of bi-Lipschitz curves" Rend. Sem. Mat. Univ. Padova 138, 1-37 (2017)
E. Radici "A planar W1,p Sobolev extension theorem for piecewise linear homeomorphisms" Pacific Journal of Mathematics 283-2, 405-418 (2016)

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