Luca Lussardi
[lussardi]
Politecnico di Torino
Email: luca.lussardi AT polito.it
Home-page: https://sites.google.com/view/luca-lussardi/
Available papers (46):
[plain text]- G. Bevilacqua - C. Lonati - L. Lussardi - A. Marzocchi (Calc. Var. Partial Differential Equations)
A variational analysis of nematic axisymmetric films: the covariant derivative case (2026) - G. Bevilacqua - C. Lonati - L. Lussardi - A. Marzocchi (preprint)
Existence and uniqueness of minimizers for axisymmetric nematic films (2026) - M. Eleuteri - L. Lussardi - A. Torricelli - E. Zappale (Submitted Paper)
Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces (2025) - L. Lussardi - A. Torricelli - E. Zappale (Submitted Paper)
Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space (2025) - A. Defranceschi - L. Lussardi - E. Vitali (Math. Mech. Solids)
Variational evolution of discrete one-dimensional second-order functionals (2025) - A. Kubin - L. Lussardi - M. Morandotti (J. Geom. Anal.)
Direct minimization of the Canham-Helfrich energy on generalized Gauss graphs (2024) - F. Ballarin - G. Bevilacqua - L. Lussardi - A. Marzocchi (Z. Angew. Math. Mech.)
Elastic membranes spanning deformable curves (2024) - G. Bevilacqua - L. Lussardi - A. Marzocchi (Commun. Appl. Ind. Math)
Soap films: from the Plateau problem to deformable boundaries (2024) - G. Bevilacqua - L. Lussardi - A. Marzocchi (INdAM Springer Series)
Geometric invariants of non-smooth framed curves (2024) - L. Lussardi - A. Melchor Hernandez - M. Morandotti (M3AS)
$\Gamma$-convergence of discrete energies modeling self-aggregation of stochastic particles (2024) - M. Eleuteri - L. Lussardi - A. Torricelli (ESAIM COCV)
Asymptotic analysis of a family of non-local functionals on sets (2023) - A. De Rosa - L. Lussardi (Math. Eng.)
On the anisotropic Kirchhoff-Plateau problem (2022) - A. Pinamonti - S. Don - L. Lussardi - G. Treu (Nonlinear Analysis)
Lipschitz minimizers for a class of integral functionals under the bounded slope condition (2022) - G. Bevilacqua - L. Lussardi - A. Marzocchi (Proc. Royal Soc. A)
Variational analysis of inextensible elastic curves (2022) - A. Chambolle - L. Lussardi - E. Villa (Math. Z.)
Anisotropic tubular neighborhoods of sets (2021) - G. Bevilacqua - L. Lussardi - A. Marzocchi (J. Elasticity)
Dimensional reduction of the Kirchhoff-Plateau problem (2020) - L. Lussardi (Proceedings: Proceedings of the Twenty-First International Conference on Geometry, Integrability and Quantization)
The Canham-Helfrich model for the elasticity of biomembranes as a limit of mesoscopic energies (2020) - K. Brazda - L. Lussardi - U. Stefanelli (Calc. Var. Partial Differential Equations)
Existence of varifold minimizers for the multiphase Canham-Helfrich functional (2020) - E. Fried - L. Lussardi (Rend. Lincei Mat. Appl.)
Monotonicity formulae for smooth extremizers of integral functionals (2019) - L. Lussardi (Rend. Sem. Mat. Univ. Pol. Torino)
The Plateau problem in the Calculus of Variations (2019) - G. Bevilacqua - L. Lussardi - A. Marzocchi (Quart. Appl. Math.)
Soap film spanning an elastic link (2019) - L. Lussardi - S. Marini - M. Veneroni (Netw. Heterog. Media)
Stochastic homogenization of maximal monotone relations and applications (2018) - G. Bevilacqua - L. Lussardi - A. Marzocchi (Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur.)
Soap film spanning electrically repulsive elastic protein links (2018) - L. Lussardi - E. Mascolo (J. Math. Anal. Appl.)
A uniqueness result for a class of non strictly convex variational problems (2017) - G. G. Giusteri - L. Lussardi - E. Fried (J. Nonlinear Sci.)
Solution of the Kirchhoff-Plateau problem (2017) - L. Lussardi - M. Röger (Arch. Rational Mech. Anal.)
Gamma convergence of a family of surface-director bending energies with small tilt (2016) - L. Lussardi - E. Villa (Proc. Roy. Soc. Edinburgh Sect. A)
A general formula for the anisotropic outer Minkowski content of a set (2016) - L. Lussardi (Discrete Contin. Dyn. Syst. Ser. S)
On a Poisson's equation arising from magnetism (2015) - L. Lussardi (Asymptotic Anal.)
A note on a phase-field model for anisotropic systems (2015) - A. Chambolle - S. Lisini - L. Lussardi (Adv. Calc. Var.)
A remark on the anisotropic outer Minkowski content (2014) - M. Eleuteri - L. Lussardi (Evolution Equations and Control Theory )
Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials (2014) - L. Lussardi - M. Peletier - M. Röger (J. Fixed Point Theory Appl.)
Variational analysis of a mesoscale model for bilayer membranes (2014) - O. Bottauscio - V. Chiadò Piat - M. Eleuteri - L. Lussardi - A. Manzin (Math. Models Meth. Appl. Sci.)
Determination of the equivalent anisotropy properties of polycrystalline magnetic materials: theoretical aspects and numerical analysis (2013) - L. Lussardi - A. Magni (ESAIM Control Optim. Calc. Var.)
Gamma-limits of convolution functionals (2013) - M. Eleuteri - L. Lussardi - U. Stefanelli (Discrete Contin. Dyn. Syst. Ser. S.)
Thermal control of the Souza-Auricchio model for shape memory alloys (2013) - L. Lussardi - A. Marzocchi (Atti Accad. Pelor. Peric. Cl. Sci. Fis. Mat. Nat. )
Surface energy arising from the behavior of lipid molecules in the water via Gamma-convergence (2013) - O. Bottauscio - V. Chiadò Piat - M. Eleuteri - L. Lussardi - A. Manzin (Physica B)
Homogenization of random anisotropy properties in polycrystalline magnetic materials (2012) - M. Eleuteri - L. Lussardi - U. Stefanelli (Netw. Heterog. Media)
A rate-independent model for permanent inelastic effects in shape memory materials (2011) - L. Lussardi (Rend. Lincei Mat. Appl.)
A Stampacchia-type inequality for a fourth order elliptic operator on Kähler manifolds and applications (2010) - A. Chambolle - A. Giacomini - L. Lussardi (ESAIM Math. Model. Numer. Anal.)
Continuous limits of discrete perimeters (2010) - A. Giacomini - L. Lussardi (SIAM-J. Math. Anal.)
Quasistatic evolution for a model in strain gradient plasticity (2008) - L. Lussardi (Math. Meth. Appl. Sci.)
An approximation result for free discontinuity functionals by means of non-local energies (2008) - L. Lussardi - E. Vitali (ESAIM Control Optim. Calc. Var.)
Non-local approximation of free-discontinuity problems with linear growth (2007) - L. Lussardi - M. Negri (Numer. Funct. Anal. Optim.)
Convergence of non-local finite element energies for fracture mechanics (2007) - L. Lussardi (Int. J. Contemp. Math. Sci.)
An approximation for the Mumford-Shah functional (2007) - L. Lussardi - E. Vitali (Ann. Mat. Pura Appl. )
Non-local approximation of free-discontinuity functionals with linear growth: the one-dimensional case (2007)
Seminars:
- 26 feb 2020: Soap films spanning elastic boundaries
- 9 mar 2016: A partial Gamma-convergence result for a family of functionals depending on curvatures
Speaker:
- 25 jun 2025 - 27 jun 2025: Three days in Calculus of Variations
- 2 apr 2025 - 4 apr 2025: Il problema di Plateau
- 6 jun 2024 - 7 jun 2024: Calculus of Variations and Nonlinear Analysis in the Applied Sciences
- 16 may 2022 - 20 may 2022: Beyond Elasticity: Advances and Research Challenges
- 20 jan 2020 - 20 jan 2020: Mathematical Models for Continuum Mechanics
- 16 jan 2020 - 17 jan 2020: Geometric Measure Theory in Padova
- 28 nov 2019 - 29 nov 2019: Two days on CalcVar&PDEs
Organizer:
- 26 may 2025 - 29 may 2025: Topics in Geometric Analysis II