Search Results - "Solombrino, Francesco"

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  1. 1

    Functionals Defined on Piecewise Rigid Functions: Integral Representation and Γ-Convergence by Friedrich, Manuel, Solombrino, Francesco

    “…We analyse integral representation and Γ -convergence properties of functionals defined on piecewise rigid functions , that is, functions which are piecewise…”
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  2. 2

    Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth by Almi, Stefano, Reggiani, Dario, Solombrino, Francesco

    “…A lower semicontinuity result and a relaxation formula for free discontinuity functionals with non-standard growth in the bulk energy are provided. Our…”
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  3. 3

    Integral representation and Γ-convergence for free-discontinuity problems with p(·)-growth by Scilla, Giovanni, Solombrino, Francesco, Stroffolini, Bianca

    “…An integral representation result for free-discontinuity energies defined on the space G S B V p ( · ) of generalized special functions of bounded variation…”
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  4. 4

    Non-local approximation of the Griffith functional by Scilla, Giovanni, Solombrino, Francesco

    “…An approximation, in the sense of Γ -convergence and in any dimension d ≥ 1 , of Griffith-type functionals, with p -growth ( p > 1 ) in the symmetrized…”
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  5. 5

    A derivation of Griffith functionals from discrete finite-difference models by Crismale, Vito, Scilla, Giovanni, Solombrino, Francesco

    “…We analyze a finite-difference approximation of a functional of Ambrosio–Tortorelli type in brittle fracture, in the discrete-to-continuum limit. In a suitable…”
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  6. 6

    A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games by Almi, Stefano, Morandotti, Marco, Solombrino, Francesco

    Published in Journal of evolution equations (01-06-2021)
    “…A multi-step Lagrangian scheme at discrete times is proposed for the approximation of a nonlinear continuity equation arising as a mean-field limit of…”
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  7. 7

    On some non-local approximation of nonisotropic Griffith-type functionals by Farroni, Fernando, Scilla, Giovanni, Solombrino, Francesco

    Published in Mathematics in engineering (01-01-2022)
    “…The approximation in the sense of $ \Gamma $-convergence of nonisotropic Griffith-type functionals, with $ p- $growth ($ p > 1 $) in the symmetrized gradient,…”
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  8. 8

    Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data by Fornasier, Massimo, March, Riccardo, Solombrino, Francesco

    Published in Annali di matematica pura ed applicata (01-06-2013)
    “…We consider the regularization of linear inverse problems by means of the minimization of a functional formed by a term of discrepancy to data and a…”
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  10. 10

    Optimal control problems in transport dynamics with additive noise by Almi, Stefano, Morandotti, Marco, Solombrino, Francesco

    Published in Journal of Differential Equations (15-11-2023)
    “…Motivated by the applications in leader-follower multi-agent dynamics, a class of optimal control problems is investigated, where the goal is to influence the…”
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  11. 11

    Quasistatic Evolution in Perfect Plasticity for General Heterogeneous Materials by Solombrino, Francesco

    “…Inspired by some recent developments in the theory of small-strain heterogeneous elastoplasticity, we both revisit and generalize the formulation of the…”
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  12. 12

    Mean-Field Pontryagin Maximum Principle by Bongini, Mattia, Fornasier, Massimo, Rossi, Francesco, Solombrino, Francesco

    “…We derive a maximum principle for optimal control problems with constraints given by the coupling of a system of ordinary differential equations and a partial…”
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  13. 13

    Well-posedness of Kolmogorov-Fokker-Planck equations with unbounded drift by Anceschi, Francesca, Ascione, Giacomo, Castorina, Daniele, Solombrino, Francesco

    “…We consider Kolmogorov-Fokker-Planck equations with unbounded drift terms which are only measurable in time and locally Hölder continuous in space. In…”
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  14. 14

    Radial solutions for a dynamic debonding model in dimension two by Lazzaroni, Giuliano, Molinarolo, Riccardo, Solombrino, Francesco

    Published in Nonlinear analysis (01-06-2022)
    “…In this paper we deal with a debonding model for a thin film in dimension two, where the wave equation on a time-dependent domain is coupled with a flow rule…”
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  15. 15

    Brittle membranes in finite elasticity by Almi, Stefano, Reggiani, Dario, Solombrino, Francesco

    “…Abstract This work is devoted to the variational derivation of a reduced model for brittle membranes in finite elasticity. The main mathematical tools we…”
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  16. 16

    Frustrated Ferromagnetic Spin Chains: A Variational Approach to Chirality Transitions by Cicalese, Marco, Solombrino, Francesco

    Published in Journal of nonlinear science (01-04-2015)
    “…We study the energy per particle of a one-dimensional ferromagnetic/antiferromagnetic frustrated spin chain with nearest and next-to-nearest interactions close…”
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  17. 17

    Lower semicontinuity for functionals defined on piecewise rigid functions and on GSBD by Friedrich, Manuel, Perugini, Matteo, Solombrino, Francesco

    Published in Journal of functional analysis (01-04-2021)
    “…In this work, we provide a characterization result for lower semicontinuity of surface energies defined on piecewise rigid functions, i.e., functions which are…”
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  18. 18

    A priori time regularity estimates and a simplified proof of existence in perfect plasticity by Solombrino, Francesco

    Published in Mathematische Nachrichten (01-10-2015)
    “…We revisit the time‐incremental method for proving existence of a quasistatic evolution in perfect plasticity. We show how, as a consequence of a priori time…”
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    On global and local minimizers of prestrained thin elastic rods by Cicalese, Marco, Ruf, Matthias, Solombrino, Francesco

    “…We study the stable configurations of a thin three-dimensional weakly prestrained rod subject to a terminal load as the thickness of the section vanishes. By Γ…”
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