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Lucia De Luca
[deluca]
researcher, Istituto per le Applicazioni del Calcolo - CNR
Email:
lucia.deluca
AT
cnr.it
Available papers (29):
[plain text]
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)
V. Crismale
-
L. De Luca
-
R. Scala
(Preprint)
Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes
(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:
7 jul 2025 - 11 jul 2025:
Geometric Methods in Calculus of Variations
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
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