ANDREA KUBIN

PhD Graduate

PhD program:: XXXIV


supervisor: E. Spadaro
advisor: E. Spadaro - M. Ponsiglione

Thesis title: A variational approach to nonlocal interactions: discrete-to-continuum analysis, ground states and geometric evolutions

This thesis deals with variational models for systems governed by nonlocal interactions. In particular, we analyze systems of hard spheres governed by attractive Riesz potentials, surface energies related to fractional perimeters and gradient flows of such energies leading to local and nonlocal geometric evolutions; eventually, we consider similar problems for densities governed by Gagliardo-type seminorms, focussing on fractional heat flows.

Research products

11573/1702034 - 2023 - The variational approach to s-fractional heat flows and the limit cases s → 0+ and s → 1−
Crismale, V.; De Luca, L.; Kubin, A.; Ninno, A.; Ponsiglione, M. - 01a Articolo in rivista
paper: JOURNAL OF FUNCTIONAL ANALYSIS (New York: Academic Press.) pp. - - issn: 0022-1236 - wos: WOS:000934263400001 (1) - scopus: 2-s2.0-85147427539 (2)

11573/1665043 - 2022 - Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension
Crismale, Vito; Kubin, Andrea; Ninno, Angelo; Ponsiglione, Marcello - 01a Articolo in rivista
paper: NONLINEAR ANALYSIS (Oxford, United Kingdom: Elsevier Science Limited) pp. - - issn: 0362-546X - wos: WOS:001041335400001 (0) - scopus: 2-s2.0-85133685323 (0)

11573/1612348 - 2022 - The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows
De Luca, L.; Kubin, A.; Ponsiglione, M. - 01a Articolo in rivista
paper: NONLINEAR ANALYSIS (Oxford, United Kingdom: Elsevier Science Limited) pp. 112585- - issn: 0362-546X - wos: WOS:000706958500022 (1) - scopus: 2-s2.0-85116410078 (3)

11573/1442398 - 2021 - Attractive Riesz potentials acting on hard spheres
Kubin, Andrea; Ponsiglione, Marcello - 01a Articolo in rivista
paper: NONLINEARITY (IOP Publishing Limited:Dirac House, Temple Back, Bristol BS1 6BE United Kingdom:011 44 117 9297481, EMAIL: custserv@iop.org, INTERNET: http://www.iop.org, Fax: 011 44 117 9294318) pp. - - issn: 0951-7715 - wos: WOS:000612009600001 (3) - scopus: 2-s2.0-85100955785 (2)

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