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A Blaschke-Lebesgue theorem for the cheeger constant

A Henrot , I Lucardesi
2020
Pré-publication, Document de travail hal-03005488v1

A nonstandard free boundary problem arising in the shape optimization of thin torsion rods

Jean-Jacques Alibert , Guy Bouchitté , Ilaria Fragalà , Ilaria Lucardesi
Interfaces Free Boundaries, 2013, 15 (1), pp.95-119. ⟨10.4171/IFB/296⟩
Article dans une revue hal-00993897v1
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Minimization of the eigenvalues of the Dirichlet-LapIacian with a diameter constraint

B Bogosel , A Henrot , I Lucardesi
SIAM Journal on Mathematical Analysis, 2018, 50 (5), pp.5337-5361. ⟨10.1137/17M1162147⟩
Article dans une revue hal-01674302v1
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Energy-dissipation balance of a smooth moving crack

Maicol Caponi , Ilaria Lucardesi , Emanuele Tasso
Journal of Mathematical Analysis and Applications, 2020, 483 (2), pp.123656. ⟨10.1016/j.jmaa.2019.123656⟩
Article dans une revue hal-02893747v1
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Concentration phenomena in the optimal design of thin rods

Ilaria Lucardesi
Journal of Convex Analysis, 2015
Article dans une revue hal-01127681v1

Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks

Stefano Almi , Ilaria Lucardesi
Nonlinear Differential Equations and Applications, 2018, 25 (5), ⟨10.1007/s00030-018-0536-4⟩
Article dans une revue hal-02893764v1

Upscaling of screw dislocations with increasing tangential strain

Ilaria Lucardesi , Marco Morandotti , Riccardo Scala , Davide Zucco
Rendiconti Lincei. Matematica e Applicazioni, 2020, 31 (2), pp.421-445. ⟨10.4171/RLM/898⟩
Article dans une revue hal-02893723v1

Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source

Guy Bouchitté , Ilaria Fragalà , Ilaria Lucardesi
Applied Mathematics and Optimization, 2017, ⟨10.1007/s00245-017-9455-8⟩
Article dans une revue hal-01635229v1
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BODY OF CONSTANT WIDTH WITH MINIMAL AREA IN A GIVEN ANNULUS

A Henrot , I Lucardesi
Journal de l'École polytechnique — Mathématiques, In press, ⟨10.5802/jep.150⟩
Article dans une revue hal-02551415v2
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On two functionals involving the maximum of the torsion function

A Henrot , Ilaria Lucardesi , G Philippin
ESAIM: Control, Optimisation and Calculus of Variations, 2018, 24 (4), pp.1585-1604. ⟨10.1051/cocv/2017069⟩
Article dans une revue hal-01453470v2

A Variational Method for Second Order Shape Derivatives

Guy Bouchitté , Ilaria Fragalà , Ilaria Lucardesi
SIAM Journal on Control and Optimization, 2016, 54 (2), pp.1056-1084
Article dans une revue hal-01312617v1
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Shape sensitivity analysis of a 2D Fluid-Structure Interaction problem

V Calisti , Ilaria Lucardesi , Jean-Francois Scheid
Journal of Optimization Theory and Applications, 2023, 199, pp.36-79. ⟨10.1007/s10957-023-02213-4⟩
Article dans une revue hal-03810334v2

Confinement of dislocations inside a crystal with a prescribed external strain

Ilaria Lucardesi , Marco Morandotti , Riccardo Scala , Davide Zucco
Rivista di Matematica della Università di Parma, 2018, ⟨10.48550/arXiv.1610.06852⟩
Article dans une revue hal-02893761v1
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Shape derivatives for minima of integral functionals

Ilaria Fragalà , Ilaria Lucardesi , Guy Bouchitté
Mathematical Programming, 2014, pp.27. ⟨10.1007/s10107-013-0712-6⟩
Article dans une revue hal-01127679v1

Optimal thin torsion rods and Cheeger sets

Guy Bouchitté , Ilaria Fragalà , Ilaria Lucardesi , Pierre Seppecher
SIAM Journal on Mathematical Analysis, 2012, 44 (1), pp.483--512. ⟨10.1137/110828538⟩
Article dans une revue hal-01283189v1
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Compliance optimization for thin elastic structures

Ilaria Lucardesi
General Mathematics [math.GM]. Université de Toulon; Politecnico di Milano. Dipartimento di mathematica (Milano, Italie), 2013. English. ⟨NNT : 2013TOUL0001⟩
Thèse tel-00845182v1

Crack growth by vanishing viscosity in planar elasticity

Stefano Almi , Giuliano Lazzaroni , Ilaria Lucardesi
Mathematics in Engineering, 2020, 2 (1), pp.141-173. ⟨10.3934/mine.2020008⟩
Article dans une revue hal-02893737v1