researcher, Istituto per le Applicazioni del Calcolo - CNR

Email: lucia.deluca AT cnr.it

Available papers (28):

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• P. Cesana - L. De Luca - M. Morandotti (SIAM Journal on Mathematical Analysis)
  Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method (2024)
• R. Alicandro - L. De Luca - M. Palombaro - M. Ponsiglione (Preprint)
  $\Gamma$-convergence analysis of the nonlinear self-energy induced by edge dislocations in semi-discrete and discrete models in two dimensions (2023)
• G. Del Nin - L. De Luca (Preprint)
  A crystallization result in two dimensions for a soft disc affine potential (2023)
• L. De Luca - M. Morini - M. Ponsiglione - E. Spadaro (Preprint)
  Parabolic $\alpha$-Riesz flows and limit cases $\alpha\to 0^+$, $\alpha\to d^-$ (2023)
• V. Crismale - L. De Luca - A. Kubin - A. Ninno - M. Ponsiglione (J. Funct. Anal.)
  The variational approach to $s$-fractional heat flows and the limit cases $s\to 0^+$ and $s\to 1^-$ (2023)
• R. Alicandro - L. De Luca - G. Lazzaroni - M. Palombaro - M. Ponsiglione (J. Nonlinear Sci.)
  Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice (2023)
• R. Alicandro - M. Cicalese - L. De Luca (Nonlinear Analysis)
  Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy (2023)
• R. Alicandro - A. Braides - M. Cicalese - L. De Luca - A. Piatnitski (Arch. Ration. Mech. Anal.)
  Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches (2022)
• L. De Luca - A. Ninno - M. Ponsiglione (J. Math. Biol.)
  Vectorial crystallization problems and collective behavior (2022)
• L. De Luca - A. Kubin - M. Ponsiglione (Nonlinear Anal.)
  The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows (2022)
• L. De Luca - M. Ponsiglione - E. Spadaro (Preprint)
  Two slope functions minimizing fractional seminorms and applications to misfit dislocations (2022)
• L. De Luca - R. Scala - N. Van Goethem (Accepted Paper: Indiana Univ. Math. J.)
  A new approach to topological singularities via a weak notion of Jacobian for functions of bounded variation (2022)
• A. Cesaroni - L. De Luca - M. Novaga - M. Ponsiglione (Comm. Partial Differential Equations)
  Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows (2021)
• L. Bétermin - L. De Luca - M. Petrache (Arch. Rational Mech. Anal.)
  Crystallization to the square lattice for a two body potential (2021)
• L. De Luca - M. Novaga - M. Ponsiglione (Ann. Scuola Normale Sup. Pisa)
  The $0$-fractional perimeter between fractional perimeters and Riesz potentials (2021)
• G. Dal Maso - L. De Luca (Adv. Calc. Var.)
  A minimization approach to the wave equation on time-dependent domains (2020)
• L. De Luca - M. Ponsiglione (Comm. Contemp. Math.)
  Low energy configurations of topological singularities in two dimensions: A $\Gamma$-convergence analysis of dipoles (2020)
• L. De Luca - M. Novaga - M. Ponsiglione (J. Nonlinear Sci.)
  $\Gamma$-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter (2019)
• L. De Luca - M. Goldman - M. Strani (Math. Annalen)
  A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard equation (2019)
• R. Badal - M. Cicalese - L. De Luca - M. Ponsiglione (Commun. Math. Phys.)
  $\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects (2018)
• L. De Luca - G. Friesecke (J. Stat. Phys.)
  Classification of particle numbers with unique Heitmann-Radin minimizer (2017)
• R. Alicandro - L. De Luca - A. Garroni - M. Ponsiglione (Calc. Var. Partial Differential Equations)
  Minimising movements for the motion of discrete screw dislocations along glide directions (2017)
• L. De Luca - G. Friesecke (J. Nonlinear Sci.)
  Crystallization in two dimensions and a discrete Gauss-Bonnet theorem (2017)
• R. Alicandro - L. De Luca - A. Garroni - M. Ponsiglione (J. Mech. Phys. Solids)
  Dynamics of discrete screw dislocations on glide directions (2016)
• M. Cicalese - L. De Luca - M. Novaga - M. Ponsiglione (SIAM J. Math. Anal.)
  Ground States of a two phase model with cross and self attractive interactions (2016)
• L. De Luca (Asymptot. Anal.)
  Gamma-convergence analysis for discrete topological singularities: the anisotropic triangular lattice and the long range interaction energy (2016)
• R. Alicandro - L. De Luca - A. Garroni - M. Ponsiglione (Archive Rational Mech. Anal.)
  Metastability and dynamics of discrete topological singularities in two dimensions: a $\Gamma$-convergence approach (2014)
• L. De Luca - A. Garroni - M. Ponsiglione (ARMA)
  $\Gamma$-convergence analysis of systems of edge dislocations: the self energy regime (2012)

Seminars:

• 8 sep 2021: Topological singularities in periodic media
• 10 oct 2018: A minimization approach to the wave equation on time-dependent domains.
• 16 nov 2016: Ground states of a two phase model with cross and self attractive interactions

Speaker:

• 19 jun 2023 - 21 jun 2023: Calculus of Variations and Applications
• 8 feb 2023 - 10 feb 2023: Variational models in Materials Science
• 5 sep 2022 - 9 sep 2022: Anisotropic isoperimetric problems & related topics
• 6 sep 2021 - 10 sep 2021: Variational methods and applications
• 2 sep 2019 - 5 sep 2019: Optimal Transport and Optimal Patterns
• 17 jan 2019 - 19 jan 2019: Workshop "Variational problems, PDEs and applications"
• 5 nov 2018 - 6 nov 2018: Women in Mathematical Material Science
• 1 jul 2015 - 3 jul 2015: Trends in Non-Linear Analysis 2015

Organizer:

• 24 jun 2024 - 28 jun 2024: Vito Volterra Meeting in Calculus of Variations 2024