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

  • 11573/1442398 - 2021 - Attractive Riesz potentials acting on hard spheres (01g Articolo di rassegna (Review))
    KUBIN, ANDREA; PONSIGLIONE, MARCELLO
  • 11573/1607110 - 2021 - A variational approach to nonlocal interactions: discrete-to-continuum analysis, ground states and geometric evolutions (07a Tesi di Dottorato)
    KUBIN, ANDREA
  • 11573/1612348 - 2022 - The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows (01a Articolo in rivista)
    KUBIN, ANDREA; PONSIGLIONE, MARCELLO
  • 11573/1665043 - 2022 - Failure of crystallization for generalized Lennard–Jones potentials and coarse graining to a rotating stars problem in one dimension (01a Articolo in rivista)
    CRISMALE, VITO; KUBIN, ANDREA; NINNO, ANGELO; PONSIGLIONE, MARCELLO

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