Associate Professor, Heriot-Watt University

Email: L.Scardia AT hw.ac.uk

Available papers (28):

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• R. Cristoferi - M. G. Mora - L. Scardia (Submitted Paper)
  Shape optimisation for nonlocal anisotropic energies (2024)
• L. Scardia - K. Zemas - C. I. Zeppieri (Probab. Theory Relat. Fields)
  Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations (2024)
• J. Mateu - M. G. Mora - L. Rondi - L. Scardia - J. Verdera (Advances in Mathematics)
  Explicit minimisers for anisotropic Coulomb energies in 3D (2023)
• X. Pellet - L. Scardia - C. I. Zeppieri (Accepted Paper: Adv. Calc. Var.)
  Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains (2023)
• F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Ann. PDE)
  A global method for deterministic and stochastic homogenisation in BV (2022)
• F. Cagnetti - A. Chambolle - M. Perugini - L. Scardia (J. Convex Anal.)
  An extension result for generalised special functions of bounded deformation (2021)
• J. Mateu - M. G. Mora - L. Rondi - L. Scardia - J. Verdera (Submitted Paper)
  Stability of ellipsoids as the energy minimisers of perturbed Coulomb energies (2021)
• F. Cagnetti - A. Chambolle - L. Scardia (Accepted Paper: Math. Ann.)
  Korn and Poincaré-Korn inequalities for functions with small jump set (2020)
• A. Garroni - P. van Meurs - M. A. Peletier - L. Scardia (Arch. Rational Mech. Anal.)
  Convergence and non-convergence of many-particle evolutions with multiple signs (2020)
• F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Arch. Ration. Mech. Anal.)
  Stochastic Homogenisation of Free-Discontinuity Problems (2019)
• J. A. Carrillo - J. Mateu - M. G. Mora - L. Rondi - L. Scardia - J. Verdera (Accepted Paper: Commun. Math. Phys.)
  The ellipse law: Kirchhoff meets dislocations (2019)
• J. A. Carrillo - J. Mateu - M. G. Mora - L. Rondi - L. Scardia - J. Verdera (Preprint: Calc. Var. and PDEs)
  The equilibrium measure for an anisotropic nonlocal energy (2019)
• X. Pellet - L. Scardia - C. I. Zeppieri (SIAM J. Math. Anal.)
  Homogenization of high-contrast Mumford-Shah energies (2019)
• F. Cagnetti - G. Dal Maso - L. Scardia - C. I. Zeppieri (Ann. Inst. H. Poincaré Anal. Non Linéaire)
  $\Gamma$-convergence of free-discontinuity problems (2018)
• M. G. Mora - M. Peletier - L. Scardia (SIAM J. Math. Anal.)
  Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement (2017)
• M. G. Mora - L. Rondi - L. Scardia (Accepted Paper: Comm. Pure Appl. Math.)
  The equilibrium measure for a nonlocal dislocation energy (2016)
• S. Müller - L. Scardia - C. I. Zeppieri (Book chapter: Analysis and Computation of Microstructure in Finite Plasticity. Lecture Notes in Applied and Computational Mechanics. )
  Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations (2015)
• A. Garroni - P. van Meurs - M. A. Peletier - L. Scardia (M3AS)
  Boundary-layer analysis of a pile-up of walls of edge dislocations at a lock (2015)
• S. Müller - L. Scardia - C. I. Zeppieri (Indiana univ. Math. J.)
  Geometric rigidity for incompatible fields and an application to strain-gradient plasticity (2014)
• M. Geers - R. Peerlings - M. Peletier - L. Scardia (Arch. Rational Mech. Anal.)
  Asymptotic behaviour of a pile-up of infinite walls of edge dislocations (2013)
• M. G. Mora - L. Scardia (J. Differential Equations)
  Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density (2012)
• L. Scardia - C. I. Zeppieri (SIAM J. Math. Anal.)
  Line-tension model for plasticity as the $\Gamma$-limit of a nonlinear dislocation energy (2012)
• L. Scardia - A. Schlömerkemper - C. Zanini (Math. Models Methods Appl. Sci.)
  Boundary layer energies for nonconvex discrete systems (2011)
• F. Cagnetti - L. Scardia (J. Math. Pures Appl.)
  An extension theorem in $SBV$ and an application to the homogenization of the Mumford-Shah functional in perforated domains (2011)
• L. Scardia (Adv. Calc. Var.)
  Damage as the Gamma-limit of microfractures in linearized elasticity under the non-interpenetration constraint (2009)
• L. Scardia (Math. Models Methods Appl. Sci.)
  Damage as Gamma-limit of microfractures in anti-plane linearized elasticity (2008)
• L. Scardia (Proc. Roy. Edinb. Soc. A)
  Asymptotic models for curved rods derived from nonlinear elasticity by $\Gamma$-convergence (2007)
• L. Scardia (Asymptot. Anal.)
  The nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity (2006)

Seminars:

• 8 sep 2021: Optimality of the ellipse for a class of nonlocal energies - (online)

Speaker:

• 24 jun 2024 - 28 jun 2024: Calculus of Variations in Lille - 4th edition
• 27 may 2024 - 31 may 2024: Modeling and analysis in nanomagnetism and beyond
• 25 mar 2024 - 28 mar 2024: M&M's - Measures and Materials Workshop
• 20 sep 2023 - 22 sep 2023: Variational models for material failure
• 17 jul 2023 - 21 jul 2023: Workshop "Nonlinear PDEs: Recent Trends in the Analysis of Continuum Mechanics"
• 4 jul 2023 - 7 jul 2023: Variational methods for nonlinear PDEs
• 20 mar 2023 - 24 mar 2023: Spring School "Recent trends in the mathematics of complex materials"
• 20 feb 2023 - 24 feb 2023: Between Regularity and Defects: Variational and Geometrical Methods in Materials Science
• 13 jun 2022 - 15 jun 2022: Workshop on Analysis and PDEs
• 6 sep 2021 - 10 sep 2021: Variational methods and applications
• 22 feb 2021 - 26 feb 2021: (Virtual) Winterschool on Analysis and Applied Mathematics
• 28 oct 2019 - 31 oct 2019: Calculus of Variations and Applications in Trani
• 16 sep 2019 - 19 sep 2019: 6th Applied Mathematics Symposium Münster: recent advances in the Calculus of Variations
• 2 sep 2019 - 5 sep 2019: Optimal Transport and Optimal Patterns
• 3 sep 2018 - 6 sep 2018: Meeting on Applied Mathematics and Calculus of Variations
• 15 jun 2017 - 16 jun 2017: From Solid Mechanics to Mathematical Analysis: A workshop on the occasion of Gilles Francfort's 60th birthday
• 13 feb 2017 - 16 feb 2017: Miniworkshop on dislocations, plasticity, and fracture
• 2 mar 2015 - 6 mar 2015: New Perspectives in Analysis and Probability
• 4 sep 2012 - 7 sep 2012: Meeting on Applied Mathematics and Calculus of Variations
• 18 jun 2012 - 22 jun 2012: Applied Dynamical Systems Summer School 2012

Organizer:

• 14 oct 2024 - 18 oct 2024: Mathematical Materials Science: Defects and Polycrystals
• 11 jun 2018 - 14 jun 2018: Nonlocal interactions: Dislocations and beyond
• 29 may 2014 - 30 may 2014: Young Applied Analysts in the UK