Università di Pisa

Email: ilaria.lucardesi AT unipi.it

Available papers (22):

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• R. Gasteldello - A. Henrot - I. Lucardesi (Accepted Paper: Journal of Convex Analysis)
  About the Blaschke-Santalo diagram of area, perimeter and moment of inertia (2024)
• A. Henrot - I. Lucardesi (Accepted Paper: Communications in Contemporary Mathematics)
  A Blaschke-Lebesgue theorem for the Cheeger constant (2023)
• A. Henrot - A. Lemenant - I. Lucardesi (Accepted Paper: Transactions of the American Mathematical Society)
  An isoperimetric problem with two distinct solutions (2023)
• I. Lucardesi - D. Mazzoleni - B. Ruffini (Preprint)
  On a Cheeger--Kohler-Jobin inequality (2023)
• V. Calisti - I. Lucardesi - J. F. Scheid (Journal of Optimization Theory and Applications)
  Shape Sensitivity Analysis of a 2D Fluid-Structure Interaction Problem (2023)
• L. Cavallina - K. Funano - A. Henrot - A. Lemenant - I. Lucardesi - S. Sakaguchi (Submitted Paper)
  Two extremum problems for Neumann eigenvalues (2023)
• A. Henrot - I. Lucardesi (Accepted Paper: Journal de l'École polytechnique - Mathématiques)
  Body of constant width with minimal area in a given annulus (2021)
• I. Lucardesi - D. Zucco (Annali di Matematica Pura ed Applicata (1923 -))
  On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue (2021)
• I. Lucardesi - M. Morandotti - R. Scala - D. Zucco (Rend. Lincei Mat. Appl.)
  Upscaling of screw dislocations with increasing tangential strain (2020)
• S. Almi - G. Lazzaroni - I. Lucardesi (Mathematics in Engineering)
  Crack growth by vanishing viscosity in planar elasticity (2020)
• M. Caponi - I. Lucardesi - E. Tasso (Journal of Mathematical Analysis and Applications)
  Energy-dissipation balance of a smooth moving crack (2020)
• B. Bogosel - A. Henrot - I. Lucardesi (SIAM J. Math. Anal.)
  Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint (2018)
• S. Almi - I. Lucardesi (NoDEA)
  Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks (2018)
• I. Lucardesi - M. Morandotti - R. Scala - D. Zucco (Riv. Mat. Univ. Parma)
  Confinement of dislocations inside a crystal with a prescribed external strain (2018)
• A. Henrot - I. Lucardesi - G. Philippin (Accepted Paper: ESAIM: COCV)
  On two functionals involving the maximum of the torsion function (2017)
• G. Bouchitté - I. Fragalà - I. Lucardesi (Applied Mathematics & Optimization)
  Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source (2017)
• G. Dal Maso - I. Lucardesi (Appl. Math. Res. Express. AMRX)
  The wave equation on domains with cracks growing on a prescribed path: existence, uniqueness, and continuous dependence on the data (2017)
• G. Bouchitté - I. Fragalà - I. Lucardesi (SIAM J. Control Optim.)
  A variational method for second order shape derivatives (2016)
• I. Lucardesi (Journal of Convex Analysis)
  Concentration phenomena in the optimal design of thin rods (2015)
• G. Bouchitté - I. Fragalà - I. Lucardesi (Math. Program., Ser. B)
  Shape derivatives for minima of integral functionals (2014)
• J. J. Alibert - G. Bouchitté - I. Fragalà - I. Lucardesi (Interfaces and Free Boundaries)
  A nonstandard free boundary problem arising in the shape optimization of thin torsion rods (2013)
• G. Bouchitté - I. Fragalà - I. Lucardesi - P. Seppecher (SIAM J. Math. Anal.)
  Optimal thin torsion rods and Cheeger sets (2012)

Seminars:

• 18 mar 2021: Shape optimization in the class of bodies of constant width.
• 30 apr 2020: On shape optimization in the class of constant width bodies
• 30 oct 2019: On Blaschke-Santalo' diagrams involving the torsional rigidity and the first eigenvalue of the Dirichlet Laplacian.
• 24 oct 2018: Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint.
• 3 dec 2015: The wave equation on domains with cracks growing on a prescribed path.

Speaker:

• 31 jan 2024 - 2 feb 2024: Calculus of Variations in Siena
• 5 sep 2022 - 9 sep 2022: Anisotropic isoperimetric problems & related topics
• 5 nov 2018 - 6 nov 2018: Women in Mathematical Material Science
• 1 jul 2015 - 3 jul 2015: Trends in Non-Linear Analysis 2015

Organizer:

• 13 jun 2022 - 17 jun 2022: Shape Optimization, related topics and applications