Associate Professor, Polytechnic University of Milan

Email: paolo.piovano AT polimi.it

Home-page: http://www.mat.univie.ac.at/~piovano

Available papers (24):

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• R. Llerena - P. Piovano (Accepted Paper: Continuum Mech. Thermodyn.)
  Variational modeling of multilayer films with coherent and incoherent interlayer interfaces (2025)
• S. Kholmatov - P. Piovano (Advances in Calculus of Variations)
  Existence of minimizers for the SDRI model in 2d: wetting and dewetting regime with mismatch strain (2024)
• P. Piovano - I. Velčić (Nonlinear Analysis)
  Microscopical justification of the Winterbottom problem for well-separated lattices (2023)
• S. Kholmatov - P. Piovano (Submitted Paper)
  Existence of minimizers for the SDRI model in $\mathbb{R}^n$: Wetting and dewetting regimes with mismatch strain (2023)
• R. Llerena - P. Piovano (Submitted Paper)
  Existence of minimizers for a two-phase free boundary problem with coherent and incoherent interfaces (2023)
• P. Piovano - F. Sapio (Submitted Paper)
  Evolution of crystalline thin films by evaporation and condensation in three dimensions (2023)
• P. Piovano - I. Velčić (J. Nonlinear Sci.)
  Microscopical justification of solid-state wetting and dewetting (2022)
• E. Davoli - M. Kruzik - P. Piovano - U. Stefanelli (Continuum Mech. Thermodyn.)
  Magnetoelastic thin films at large strains (2021)
• L. Kreutz - P. Piovano (SIAM J. Math. Anal.)
  Microscopic validation of a variational model of epitaxially strained crystalline films (2021)
• E. Davoli - P. Piovano (Interfaces and Free Boundaries)
  Derivation of a heteroepitaxial thin-film model (2020)
• S. Kholmatov - P. Piovano (Arch. Ration. Mech. Anal.)
  A unified model for stress-driven rearrangement instabilities (2020)
• E. Mainini - P. Piovano - B. Schmidt - U. Stefanelli (J. Stat. Phys.)
  $N^{3/4}$ law in the cubic lattice (2019)
• M. Friedrich - E. Mainini - P. Piovano (Rendiconti Sem. Mat. Univ. Pol. Torino)
  Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review (2019)
• M. Friedrich - E. Mainini - P. Piovano - U. Stefanelli (Arch. Ration. Mech. Anal.)
  Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule (2018)
• E. Davoli - P. Piovano (M3AS)
  Analytical validation of the Young-Dupré law for epitaxially-strained thin films (2018)
• E. Mainini - H. Murakawa - P. Piovano - U. Stefanelli (Multiscale Model. Simul.)
  Carbon-nanotube geometries as optimal configurations (2017)
• E. Mainini - H. Murakawa - P. Piovano - U. Stefanelli (Discrete Contin. Dyn. Syst.-Series S)
  Carbon-nanotube geometries: analytical and numerical results (2017)
• E. Davoli - P. Piovano - U. Stefanelli (Math. Models Methods Appl. Sci.)
  Wulff shape emergence in graphene (2016)
• E. Davoli - P. Piovano - U. Stefanelli (Journal of Nonlinear Science)
  Sharp $N^{3/4}$ law for the minimizers of the Edge-Isoperimetric Problem on the triangular lattice (2016)
• M. Friedrich - P. Piovano - U. Stefanelli (SIAM J. Appl. Math.)
  The geometry of $C_{60}$: a rigorous approach via Molecular Mechanics (2016)
• E. Mainini - P. Piovano - U. Stefanelli (Nonlinearity)
  Finite crystallization in the square lattice (2014)
• P. Piovano (Calc. Var. Partial Differential Equations)
  Evolution of elastic thin films with curvature regularization via minimizing movements (2014)
• P. Piovano (Phd Thesis: ProQuest; Thesis (Ph.D.)-Carnegie Mellon University 2012, ISBN: 9781267655349)
  Evolution and Regularity Results for Epitaxially Strained Thin Films and Material Voids (2014)
• E. Mainini - P. Piovano - U. Stefanelli (Preprint)
  Crystalline and isoperimetric square configurations (2014)

Speaker:

• 26 oct 2023 - 26 oct 2023: XI Giornata MI-PV
• 20 jun 2022 - 24 jun 2022: Variational Challenges in Materials Science and Imaging
• 1 jul 2015 - 3 jul 2015: Trends in Non-Linear Analysis 2015

Organizer:

• 15 jun 2022 - 17 jun 2022: XXIII STAMM
• 21 feb 2022 - 25 feb 2022: Free Boundary Problems and Related Evolution Equations
• 17 sep 2021 - 17 sep 2021: ISIMM Online Meeting (STAMM 2020+1)
• 11 nov 2019 - 15 nov 2019: Modeling of Crystalline Interfaces and Thin Film Structures: A Joint Mathematics-Physics Symposium