## Stefanelli, Ulisse

Compute Distance To:
 Author ID: stefanelli.ulisse Published as: Stefanelli, Ulisse; Stefanelli, U. External Links: MGP · ORCID
 Documents Indexed: 134 Publications since 1999 4 Contributions as Editor Reviewing Activity: 11 Reviews Co-Authors: 77 Co-Authors with 117 Joint Publications 1,897 Co-Co-Authors
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### Co-Authors

 21 single-authored 11 Schimperna, Giulio 9 Auricchio, Ferdinando 8 Akagi, Goro 8 Friedrich, Manuel 8 Kružík, Martin 8 Mainini, Edoardo 8 Piovano, Paolo 7 Grandi, Diego 7 Luterotti, Fabio 7 Mielke, Alexander 7 Rossi, Riccarda 5 Krejčí, Pavel 5 Scarpa, Luca 5 Segatti, Antonio 4 Bessoud, Anne Laure 4 Davoli, Elisa 4 Roubíček, Tomáš 3 Lussardi, Luca 3 Melching, David 3 Reali, Alessandro 3 Savaré, Giuseppe 3 Schmidt, Bernd 3 Visintin, Augusto 2 Bétermin, Laurent 2 Colli, Pierluigi 2 Eleuteri, Michela 2 Frigeri, Sergio 2 Gilardi, Gianni 2 Laurençot, Philippe 2 Liero, Matthias 2 Melchionna, Stefano 2 Murakawa, Hideki 2 Sprekels, Jürgen 2 Truskinovsky, Lev 1 Almi, Stefano 1 Boatti, Elisa 1 Braides, Andrea 1 Brazda, Katharina 1 Bucur, Dorin 1 Buttazzo, Giuseppe 1 Caffarelli, Luis Ángel 1 Chemetov, Nikolai V. 1 Courte, Luca 1 Dondl, Patrick Werner 1 Fiaschi, Alice 1 Francfort, Gilles A. 1 Jüngel, Ansgar 1 Kenmochi, Nobuyuki 1 Kessler, Daniel P. 1 Knees, Dorothee 1 Lazzaroni, Giuliano 1 Marinelli, Carlo 1 Miranville, Alain M. 1 Molchanova, Anastasia Olegovna 1 Monteiro Marques, Manuel D. P. 1 Mora-Corral, Carlos 1 Neunteufel, Michael 1 Ortiz, Michael 1 Otto, Felix 1 Paoli, Laetitia A. 1 Petrov, Adrien 1 Peyroux, Robert 1 Portinale, Lorenzo 1 Rocca, Elisabetta 1 Roche, Thomas 1 Scheid, Jean-François 1 Schöberl, Joachim 1 Shirakawa, Ken 1 Showalter, Ralph E. 1 Spadaro, Emanuele Nunzio 1 Theil, Florian 1 Thomas, Marita 1 Trussardi, Lara 1 Wachsmuth, Daniel 1 Wachsmuth, Gerd 1 Zanini, Chiara 1 Zeman, Jan
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### Serials

 9 Discrete and Continuous Dynamical Systems. Series S 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 SIAM Journal on Mathematical Analysis 5 Continuum Mechanics and Thermodynamics 4 Archive for Rational Mechanics and Analysis 4 Journal of Differential Equations 4 Advances in Mathematical Sciences and Applications 4 Journal of Evolution Equations 3 Computer Methods in Applied Mechanics and Engineering 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 SIAM Journal on Control and Optimization 3 Journal of Convex Analysis 3 Discrete and Continuous Dynamical Systems 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Statistical Physics 2 Applied Mathematics and Optimization 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Mathematics and Mechanics of Solids 2 Oberwolfach Reports 2 Bollettino dell’Unione Matematica Italiana. Series IX 1 IMA Journal of Applied Mathematics 1 International Journal of Plasticity 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Mathematics of Computation 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Zeitschrift für Analysis und ihre Anwendungen 1 Physica D 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Differential and Integral Equations 1 Journal of Elasticity 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 European Journal of Mechanics. A. Solids 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 AMRX. Applied Mathematics Research eXpress 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 Networks and Heterogeneous Media 1 Advances in Calculus of Variations 1 Rendiconti. Classe di Scienze Matematiche e Naturali 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Springer INdAM Series 1 Bollettino dell’Unione Matematica Italiana 1 Transactions of Mathematics and its Applications
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### Fields

 78 Partial differential equations (35-XX) 60 Mechanics of deformable solids (74-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 18 Classical thermodynamics, heat transfer (80-XX) 16 Operator theory (47-XX) 16 Statistical mechanics, structure of matter (82-XX) 13 Numerical analysis (65-XX) 11 Ordinary differential equations (34-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Integral equations (45-XX) 5 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 3 Differential geometry (53-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

112 Publications have been cited 999 times in 462 Documents Cited by Year
$$\Gamma$$-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
2008
A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity. Zbl 1105.74031
Auricchio, F.; Reali, A.; Stefanelli, U.
2007
The Brezis – Ekeland principle for doubly nonlinear equations. Zbl 1194.35214
Stefanelli, Ulisse
2008
Crystallization in carbon nanostructures. Zbl 1391.82058
Mainini, Edoardo; Stefanelli, Ulisse
2014
A rate-independent model for the isothermal quasi-static evolution of shape-memory materials. Zbl 1151.74319
Auricchio, Ferdinando; Mielke, Alexander; Stefanelli, Ulisse
2008
Weighted energy-dissipation functionals for gradient flows. Zbl 1218.35007
Mielke, Alexander; Stefanelli, Ulisse
2011
Finite crystallization in the square lattice. Zbl 1292.82043
Mainini, Edoardo; Piovano, Paolo; Stefanelli, Ulisse
2014
Doubly nonlinear equations as convex minimization. Zbl 1326.35010
Akagi, Goro; Stefanelli, Ulisse
2014
A macroscopic 1D model for shape memory alloys including asymmetric behaviors and transformation-dependent elastic properties. Zbl 1227.74037
Auricchio, F.; Reali, A.; Stefanelli, U.
2009
Global existence for a class of generalized systems for irreversible phase changes. Zbl 1004.35061
Colli, Pierluigi; Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2002
Well-posedness and long-time behavior for a class of doubly nonlinear equations. Zbl 1195.35185
Schimperna, Giulio; Segatti, Antonio; Stefanelli, Ulisse
2007
Weighted energy-dissipation functionals for doubly nonlinear evolution. Zbl 1216.49007
Akagi, Goro; Stefanelli, Ulisse
2011
The De Giorgi conjecture on elliptic regularization. Zbl 1228.35023
Stefanelli, Ulisse
2011
Sharp $$N^{3/4}$$ law for the minimizers of the edge-isoperimetric problem on the triangular lattice. Zbl 1383.82063
Davoli, Elisa; Piovano, Paolo; Stefanelli, Ulisse
2017
Linearized plasticity is the evolutionary $$\Gamma$$-limit of finite plasticity. Zbl 1334.74021
Mielke, Alexander; Stefanelli, Ulisse
2013
A discrete variational principle for rate-independent evolution. Zbl 1180.35283
Mielke, Alexander; Stefanelli, Ulisse
2008
Error estimates for space-time discretizations of a rate-independent variational inequality. Zbl 1219.65059
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien; Stefanelli, Ulisse
2010
Diffusion in poro-plastic media. Zbl 1095.74011
Showalter, R. E.; Stefanelli, U.
2004
On a class of doubly nonlinear nonlocal evolution equations. Zbl 1014.35051
Stefanelli, Ulisse
2002
A variational characterization of rate-independent evolution. Zbl 1217.34104
Stefanelli, Ulisse
2009
Attractors for gradient flows of nonconvex functionals and applications. Zbl 1151.35010
Rossi, Riccarda; Segatti, Antonio; Stefanelli, Ulisse
2008
Existence result for the one-dimensional full model of phase transitions. Zbl 1003.80003
Luterotti, F.; Stefanelli, U.
2002
Global existence of a strong solution to the one-dimensional full model for irreversible phase transitions. Zbl 1004.35058
Laurençot, Philippe; Schimperna, Giulio; Stefanelli, Ulisse
2002
Global solution to a phase field model with irreversible and constrained phase evolution. Zbl 1032.35109
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2002
A variational principle for doubly nonlinear evolution. Zbl 1195.35187
Akagi, Goro; Stefanelli, Ulisse
2010
Existence results for incompressible magnetoelasticity. Zbl 1332.74017
Kružík, Martin; Stefanelli, Ulisse; Zeman, Jan
2015
Wulff shape emergence in graphene. Zbl 1355.82073
Davoli, Elisa; Piovano, Paolo; Stefanelli, Ulisse
2016
Thermal control of the Souza-Auricchio model for shape memory alloys. Zbl 1352.74095
Eleuteri, Michela; Lussardi, Luca; Stefanelli, Ulisse
2013
A variational view at the time-dependent minimal surface equation. Zbl 1246.35117
Spadaro, Emanuele; Stefanelli, Ulisse
2011
Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires. Zbl 1269.74169
Krejčí, Pavel; Stefanelli, Ulisse
2011
Magnetic shape memory alloys: three-dimensional modeling and analysis. Zbl 1317.74021
Bessoud, A.-L.; Stefanelli, U.
2011
Quasi-static evolution for the Armstrong-Frederick hardening-plasticity model. Zbl 1273.35265
Francfort, Gilles A.; Stefanelli, Ulisse
2013
Weighted inertia-dissipation-energy functionals for semilinear equations. Zbl 1273.35188
Liero, Matthias; Stefanelli, Ulisse
2013
Existence result for a nonlinear model related to irreversible phase changes. Zbl 1013.35045
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2001
A variational principle for gradient flows of nonconvex energies. Zbl 1342.49008
Akagi, Goro; Stefanelli, Ulisse
2016
On some nonlocal evolution equations in Banach spaces. Zbl 1060.34031
Stefanelli, Ulisse
2004
A new minimum principle for Lagrangian mechanics. Zbl 1358.70027
Liero, Matthias; Stefanelli, Ulisse
2013
A counterexample to $$C^{2,1}$$ regularity for parabolic fully nonlinear equations. Zbl 1162.35042
Caffarelli, Luis A.; Stefanelli, Ulisse
2008
Nonlocal quasivariational evolution problems. Zbl 1114.34044
Stefanelli, Ulisse
2006
Well-posedness of a thermo-mechanical model for shape memory alloys under tension. Zbl 1427.74039
Krejčí, Pavel; Stefanelli, Ulisse
2010
A rate-independent model for permanent inelastic effects in shape memory materials. Zbl 1263.74016
Eleuteri, Michela; Lussardi, Luca; Stefanelli, Ulisse
2011
Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys. Zbl 1342.74031
Frigeri, Sergio; Stefanelli, Ulisse
2012
A variational principle for gradient flows in metric spaces. Zbl 1236.49065
Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse
2011
Phase-field models with hysteresis in one-dimensional thermoviscoplasticity. Zbl 1034.34053
Krejcí, Pavel; Sprekels, Jürgen; Stefanelli, Ulisse
2002
A phenomenological 3D model describing stress-induced solid phase transformations with permanent inelasticity. Zbl 1113.74053
Auricchio, F.; Reali, A.; Stefanelli, U.
2007
Time-discretization and global solution for a doubly nonlinear Volterra equation. Zbl 1104.45005
Gilardi, Gianni; Stefanelli, Ulisse
2006
Magnetic shape-memory alloys: thermomechanical modelling and analysis. Zbl 1341.74032
Roubíček, Tomáš; Stefanelli, Ulisse
2014
Periodic solutions for doubly nonlinear evolution equations. Zbl 1254.35014
Akagi, Goro; Stefanelli, Ulisse
2011
A variational principle for hardening elastoplasticity. Zbl 1170.35453
Stefanelli, Ulisse
2008
A three-dimensional phenomenological model for magnetic shape memory alloys. Zbl 1279.74026
Auricchio, Ferdinando; Bessoud, Anne-Laure; Reali, Alessandro; Stefanelli, Ulisse
2011
Young-measure quasi-static damage evolution. Zbl 1281.74005
Fiaschi, Alice; Knees, Dorothee; Stefanelli, Ulisse
2012
Carbon-nanotube geometries: analytical and numerical results. Zbl 1362.82059
Mainini, Edoardo; Murakawa, Hideki; Piovano, Paolo; Stefanelli, Ulisse
2017
Finite plasticity in $$\boldsymbol P^\top\!\boldsymbol P$$. II: Quasi-static evolution and linearization. Zbl 1367.49006
Grandi, D.; Stefanelli, U.
2017
Finite plasticity in $$P^\top P$$. I: Constitutive model. Zbl 1365.74035
Grandi, Diego; Stefanelli, Ulisse
2017
Global attractors for gradient flows in metric spaces. Zbl 1215.35036
Rossi, Riccarda; Segatti, Antonio; Stefanelli, Ulisse
2011
One-dimensional thermo-viscoplastic processes with hysteresis and phase transitions. Zbl 1049.74036
Krejčí, Pavel; Sprekels, Jürgen; Stefanelli, Ulisse
2003
Stability results for doubly nonlinear differential inclusions by variational convergence. Zbl 1302.35225
Roche, Thomas; Rossi, Riccarda; Stefanelli, Ulisse
2014
Well-posedness and time discretization of a nonlinear Volterra integrodifferential equation. Zbl 1005.45007
Stefanelli, Ulisse
2001
A phenomenological model for microstructure-dependent inelasticity in shape-memory alloys. Zbl 1299.74143
Grandi, Diego; Stefanelli, Ulisse
2014
Weighted energy-dissipation approach to doubly nonlinear problems on the half line. Zbl 1387.58021
Akagi, Goro; Melchionna, Stefano; Stefanelli, Ulisse
2018
Optimal control of a rate-independent evolution equation via viscous regularization. Zbl 1369.49027
Stefanelli, Ulisse; Wachsmuth, Daniel; Wachsmuth, Gerd
2017
An order approach to a class of quasivariational sweeping processes. Zbl 1110.34039
Rossi, Riccarda; Stefanelli, Ulisse
2005
Positivity of the temperature for phase transitions with micro-movements. Zbl 1116.80015
Schimperna, Giulio; Stefanelli, Ulisse
2007
Numerical analysis of a three-dimensional super-elastic constitutive model. Zbl 1079.74663
Auricchio, Ferdinando; Stefanelli, Ulisse
2004
Well-posedness and approximation for a one-dimensional model for shape memory alloys. Zbl 1099.74045
Auricchio, Ferdinando; Stefanelli, Ulisse
2005
The discrete Brezis-Ekeland principle. Zbl 1168.49020
Stefanelli, Ulisse
2009
Ordered non-convex quasi-variational sweeping processes. Zbl 1148.34004
Chemetov, Nikolai V.; Monteiro Marques, Manuel D. P.; Stefanelli, Ulisse
2008
The geometry of $$C_{60}$$: a rigorous approach via molecular mechanics. Zbl 1353.82072
Friedrich, Manuel; Piovano, Paolo; Stefanelli, Ulisse
2016
The Souza-Auricchio model for shape-memory alloys. Zbl 1302.74026
Grandi, Diego; Stefanelli, Ulisse
2015
A phase-field approach to Eulerian interfacial energies. Zbl 1428.35576
Grandi, Diego; Kružík, Martin; Mainini, Edoardo; Stefanelli, Ulisse
2019
Weighted energy-dissipation principle for gradient flows in metric spaces. Zbl 1423.35007
Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse
2019
Carbon-nanotube geometries as optimal configurations. Zbl 1394.82028
Mainini, Edoardo; Murakawa, H.; Piovano, Paolo; Stefanelli, Ulisse
2017
$$N^{3/4}$$ law in the cubic lattice. Zbl 1426.82065
Mainini, Edoardo; Piovano, Paolo; Schmidt, Bernd; Stefanelli, Ulisse
2019
A macroscopic model for magnetic shape-memory single crystals. Zbl 1268.74021
Bessoud, Anne-Laure; Kružík, Martin; Stefanelli, Ulisse
2013
Local solution to Frémond’s full model for irreversible phase transitions. Zbl 1049.35096
Schimperna, G.; Luterotti, F.; Stefanelli, U.
2002
Long-time behavior for the full one-dimensional Frémond model for shape memory alloys. Zbl 1006.74074
Colli, Pierluigi; Laurençot, Philippe; Stefanelli, Ulisse
2000
Stable carbon configurations. Zbl 1380.82052
Stefanelli, Ulisse
2017
Dynamic perfect plasticity as convex minimization. Zbl 1409.70011
Davoli, Elisa; Stefanelli, Ulisse
2019
Crystallization in a one-dimensional periodic landscape. Zbl 1437.82024
Friedrich, Manuel; Stefanelli, Ulisse
2020
Existence for dislocation-free finite plasticity. Zbl 1442.35449
Stefanelli, Ulisse
2019
Existence for a class of nonlocal quasivariational evolution problems. Zbl 1157.49014
Kenmochi, Nobuyuki; Stefanelli, Ulisse
2008
Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys. Zbl 1007.65071
Stefanelli, Ulisse
2002
Existence for a doubly nonlinear Volterra equation. Zbl 1151.45003
Gilardi, Gianni; Stefanelli, Ulisse
2007
A variational approach to Navier-Stokes. Zbl 1406.35237
Ortiz, Michael; Schmidt, Bernd; Stefanelli, Ulisse
2018
Quasistatic evolution for dislocation-free finite plasticity. Zbl 1465.35373
Kružík, Martin; Melching, David; Stefanelli, Ulisse
2020
Quasistatic isothermal evolution of shape memory alloys. Zbl 1326.74108
Frigeri, Sergio; Krejčí, Pavel; Stefanelli, Ulisse
2011
Analysis of a thermomechanical model for shape memory alloys. Zbl 1130.74351
Stefanelli, Ulisse
2005
Error control of a nonlinear evolution problem related to phase transitions. Zbl 0936.65112
Stefanelli, Ulisse
1999
Some nonlinear evolution problems in mixed form. Zbl 1172.35303
Stefanelli, Ulisse; Visintin, Augusto
2009
A phenomenological model for the magneto-mechanical response of single-crystal magnetic shape memory alloys. Zbl 1406.74546
Auricchio, Ferdinando; Bessoud, Anne-Laure; Reali, Alessandro; Stefanelli, Ulisse
2015
Thermodynamics of elastoplastic porous rocks at large strains towards earthquake modeling. Zbl 1406.35397
Roubíček, Tomáš; Stefanelli, Ulisse
2018
Graphene ground states. Zbl 1393.82031
Friedrich, Manuel; Stefanelli, Ulisse
2018
Analysis of a variable time-step discretization for a phase transition model with micro-movements. Zbl 1141.35035
Stefanelli, Ulisse
2006
Structure result for steady-state solutions of a one-dimensional Frémond model of SMA. Zbl 1077.74033
Shirakawa, Ken; Stefanelli, Ulisse
2004
Quasistatic evolution of magnetoelastic plates via dimension reduction. Zbl 1332.74016
Kružík, Martin; Stefanelli, Ulisse; Zanini, Chiara
2015
Analysis of a variable time-step discretization for the Penrose-Fife phase relaxation problem. Zbl 0983.65101
Stefanelli, Ulisse
2001
Error control for a time-discretization of the full one-dimensional Frémond model for shape memory alloys. Zbl 0980.65097
Stefanelli, Ulisse
2000
Study of a system for the isothermal separation of components in a binary alloy with change of phase. Zbl 1067.35128
Kessler, Daniel; Scheid, Jean-François; Schimperna, Giulio; Stefanelli, Ulisse
2004
Some quasivariational problems with memory. Zbl 1187.34079
Stefanelli, Ulisse
2004
Existence results for a phase transition model based on microscopic movements. Zbl 1105.80009
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2006
Topology optimization for incremental elastoplasticity: a phase-field approach. Zbl 1455.74074
Almi, Stefano; Stefanelli, Ulisse
2021
Crystallization in a one-dimensional periodic landscape. Zbl 1437.82024
Friedrich, Manuel; Stefanelli, Ulisse
2020
Quasistatic evolution for dislocation-free finite plasticity. Zbl 1465.35373
Kružík, Martin; Melching, David; Stefanelli, Ulisse
2020
Doubly nonlinear stochastic evolution equations. Zbl 1451.35268
Scarpa, Luca; Stefanelli, Ulisse
2020
Existence of varifold minimizers for the multiphase Canham-Helfrich functional. Zbl 1439.49074
Brazda, Katharina; Lussardi, Luca; Stefanelli, Ulisse
2020
Pinning of interfaces by localized dry friction. Zbl 1440.35324
Courte, Luca; Dondl, Patrick; Stefanelli, Ulisse
2020
Equilibrium for multiphase solids with Eulerian interfaces. Zbl 1459.74151
Grandi, Diego; Kružík, Martin; Mainini, Edoardo; Stefanelli, Ulisse
2020
A phase-field approach to Eulerian interfacial energies. Zbl 1428.35576
Grandi, Diego; Kružík, Martin; Mainini, Edoardo; Stefanelli, Ulisse
2019
Weighted energy-dissipation principle for gradient flows in metric spaces. Zbl 1423.35007
Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse
2019
$$N^{3/4}$$ law in the cubic lattice. Zbl 1426.82065
Mainini, Edoardo; Piovano, Paolo; Schmidt, Bernd; Stefanelli, Ulisse
2019
Dynamic perfect plasticity as convex minimization. Zbl 1409.70011
Davoli, Elisa; Stefanelli, Ulisse
2019
Existence for dislocation-free finite plasticity. Zbl 1442.35449
Stefanelli, Ulisse
2019
Two structure-preserving time discretizations for gradient flows. Zbl 1427.65407
Jüngel, Ansgar; Stefanelli, Ulisse; Trussardi, Lara
2019
Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule. Zbl 1419.74056
Friedrich, Manuel; Mainini, Edoardo; Piovano, Paolo; Stefanelli, Ulisse
2019
Finite thermoelastoplasticity and creep under small elastic strains. Zbl 1445.74014
Roubíček, Tomáš; Stefanelli, Ulisse
2019
Weighted energy-dissipation approach to doubly nonlinear problems on the half line. Zbl 1387.58021
Akagi, Goro; Melchionna, Stefano; Stefanelli, Ulisse
2018
A variational approach to Navier-Stokes. Zbl 1406.35237
Ortiz, Michael; Schmidt, Bernd; Stefanelli, Ulisse
2018
Thermodynamics of elastoplastic porous rocks at large strains towards earthquake modeling. Zbl 1406.35397
Roubíček, Tomáš; Stefanelli, Ulisse
2018
Graphene ground states. Zbl 1393.82031
Friedrich, Manuel; Stefanelli, Ulisse
2018
Quasistatic elastoplasticity via Peridynamics: existence and localization. Zbl 1396.74037
Kružík, Martin; Mora-Corral, Carlos; Stefanelli, Ulisse
2018
Sharp $$N^{3/4}$$ law for the minimizers of the edge-isoperimetric problem on the triangular lattice. Zbl 1383.82063
Davoli, Elisa; Piovano, Paolo; Stefanelli, Ulisse
2017
Carbon-nanotube geometries: analytical and numerical results. Zbl 1362.82059
Mainini, Edoardo; Murakawa, Hideki; Piovano, Paolo; Stefanelli, Ulisse
2017
Finite plasticity in $$\boldsymbol P^\top\!\boldsymbol P$$. II: Quasi-static evolution and linearization. Zbl 1367.49006
Grandi, D.; Stefanelli, U.
2017
Finite plasticity in $$P^\top P$$. I: Constitutive model. Zbl 1365.74035
Grandi, Diego; Stefanelli, Ulisse
2017
Optimal control of a rate-independent evolution equation via viscous regularization. Zbl 1369.49027
Stefanelli, Ulisse; Wachsmuth, Daniel; Wachsmuth, Gerd
2017
Carbon-nanotube geometries as optimal configurations. Zbl 1394.82028
Mainini, Edoardo; Murakawa, H.; Piovano, Paolo; Stefanelli, Ulisse
2017
Stable carbon configurations. Zbl 1380.82052
Stefanelli, Ulisse
2017
Existence and linearization for the Souza-Auricchio model at finite strains. Zbl 1365.74038
Grandi, Diego; Stefanelli, Ulisse
2017
Wulff shape emergence in graphene. Zbl 1355.82073
Davoli, Elisa; Piovano, Paolo; Stefanelli, Ulisse
2016
A variational principle for gradient flows of nonconvex energies. Zbl 1342.49008
Akagi, Goro; Stefanelli, Ulisse
2016
The geometry of $$C_{60}$$: a rigorous approach via molecular mechanics. Zbl 1353.82072
Friedrich, Manuel; Piovano, Paolo; Stefanelli, Ulisse
2016
Gradient structures for the thermomechanics of shape-memory materials. Zbl 1423.80011
Auricchio, Ferdinando; Boatti, Elisa; Reali, Alessandro; Stefanelli, Ulisse
2016
Existence results for incompressible magnetoelasticity. Zbl 1332.74017
Kružík, Martin; Stefanelli, Ulisse; Zeman, Jan
2015
The Souza-Auricchio model for shape-memory alloys. Zbl 1302.74026
Grandi, Diego; Stefanelli, Ulisse
2015
A phenomenological model for the magneto-mechanical response of single-crystal magnetic shape memory alloys. Zbl 1406.74546
Auricchio, Ferdinando; Bessoud, Anne-Laure; Reali, Alessandro; Stefanelli, Ulisse
2015
Quasistatic evolution of magnetoelastic plates via dimension reduction. Zbl 1332.74016
Kružík, Martin; Stefanelli, Ulisse; Zanini, Chiara
2015
Crystallization in carbon nanostructures. Zbl 1391.82058
Mainini, Edoardo; Stefanelli, Ulisse
2014
Finite crystallization in the square lattice. Zbl 1292.82043
Mainini, Edoardo; Piovano, Paolo; Stefanelli, Ulisse
2014
Doubly nonlinear equations as convex minimization. Zbl 1326.35010
Akagi, Goro; Stefanelli, Ulisse
2014
Magnetic shape-memory alloys: thermomechanical modelling and analysis. Zbl 1341.74032
Roubíček, Tomáš; Stefanelli, Ulisse
2014
Stability results for doubly nonlinear differential inclusions by variational convergence. Zbl 1302.35225
Roche, Thomas; Rossi, Riccarda; Stefanelli, Ulisse
2014
A phenomenological model for microstructure-dependent inelasticity in shape-memory alloys. Zbl 1299.74143
Grandi, Diego; Stefanelli, Ulisse
2014
Linearized plasticity is the evolutionary $$\Gamma$$-limit of finite plasticity. Zbl 1334.74021
Mielke, Alexander; Stefanelli, Ulisse
2013
Thermal control of the Souza-Auricchio model for shape memory alloys. Zbl 1352.74095
Eleuteri, Michela; Lussardi, Luca; Stefanelli, Ulisse
2013
Quasi-static evolution for the Armstrong-Frederick hardening-plasticity model. Zbl 1273.35265
Francfort, Gilles A.; Stefanelli, Ulisse
2013
Weighted inertia-dissipation-energy functionals for semilinear equations. Zbl 1273.35188
Liero, Matthias; Stefanelli, Ulisse
2013
A new minimum principle for Lagrangian mechanics. Zbl 1358.70027
Liero, Matthias; Stefanelli, Ulisse
2013
A macroscopic model for magnetic shape-memory single crystals. Zbl 1268.74021
Bessoud, Anne-Laure; Kružík, Martin; Stefanelli, Ulisse
2013
Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys. Zbl 1342.74031
Frigeri, Sergio; Stefanelli, Ulisse
2012
Young-measure quasi-static damage evolution. Zbl 1281.74005
Fiaschi, Alice; Knees, Dorothee; Stefanelli, Ulisse
2012
Weighted energy-dissipation functionals for gradient flows. Zbl 1218.35007
Mielke, Alexander; Stefanelli, Ulisse
2011
Weighted energy-dissipation functionals for doubly nonlinear evolution. Zbl 1216.49007
Akagi, Goro; Stefanelli, Ulisse
2011
The De Giorgi conjecture on elliptic regularization. Zbl 1228.35023
Stefanelli, Ulisse
2011
A variational view at the time-dependent minimal surface equation. Zbl 1246.35117
Spadaro, Emanuele; Stefanelli, Ulisse
2011
Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires. Zbl 1269.74169
Krejčí, Pavel; Stefanelli, Ulisse
2011
Magnetic shape memory alloys: three-dimensional modeling and analysis. Zbl 1317.74021
Bessoud, A.-L.; Stefanelli, U.
2011
A rate-independent model for permanent inelastic effects in shape memory materials. Zbl 1263.74016
Eleuteri, Michela; Lussardi, Luca; Stefanelli, Ulisse
2011
A variational principle for gradient flows in metric spaces. Zbl 1236.49065
Rossi, Riccarda; Savaré, Giuseppe; Segatti, Antonio; Stefanelli, Ulisse
2011
Periodic solutions for doubly nonlinear evolution equations. Zbl 1254.35014
Akagi, Goro; Stefanelli, Ulisse
2011
A three-dimensional phenomenological model for magnetic shape memory alloys. Zbl 1279.74026
Auricchio, Ferdinando; Bessoud, Anne-Laure; Reali, Alessandro; Stefanelli, Ulisse
2011
Global attractors for gradient flows in metric spaces. Zbl 1215.35036
Rossi, Riccarda; Segatti, Antonio; Stefanelli, Ulisse
2011
Quasistatic isothermal evolution of shape memory alloys. Zbl 1326.74108
Frigeri, Sergio; Krejčí, Pavel; Stefanelli, Ulisse
2011
Error estimates for space-time discretizations of a rate-independent variational inequality. Zbl 1219.65059
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien; Stefanelli, Ulisse
2010
A variational principle for doubly nonlinear evolution. Zbl 1195.35187
Akagi, Goro; Stefanelli, Ulisse
2010
Well-posedness of a thermo-mechanical model for shape memory alloys under tension. Zbl 1427.74039
Krejčí, Pavel; Stefanelli, Ulisse
2010
A macroscopic 1D model for shape memory alloys including asymmetric behaviors and transformation-dependent elastic properties. Zbl 1227.74037
Auricchio, F.; Reali, A.; Stefanelli, U.
2009
A variational characterization of rate-independent evolution. Zbl 1217.34104
Stefanelli, Ulisse
2009
The discrete Brezis-Ekeland principle. Zbl 1168.49020
Stefanelli, Ulisse
2009
Some nonlinear evolution problems in mixed form. Zbl 1172.35303
Stefanelli, Ulisse; Visintin, Augusto
2009
$$\Gamma$$-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
2008
The Brezis – Ekeland principle for doubly nonlinear equations. Zbl 1194.35214
Stefanelli, Ulisse
2008
A rate-independent model for the isothermal quasi-static evolution of shape-memory materials. Zbl 1151.74319
Auricchio, Ferdinando; Mielke, Alexander; Stefanelli, Ulisse
2008
A discrete variational principle for rate-independent evolution. Zbl 1180.35283
Mielke, Alexander; Stefanelli, Ulisse
2008
Attractors for gradient flows of nonconvex functionals and applications. Zbl 1151.35010
Rossi, Riccarda; Segatti, Antonio; Stefanelli, Ulisse
2008
A counterexample to $$C^{2,1}$$ regularity for parabolic fully nonlinear equations. Zbl 1162.35042
Caffarelli, Luis A.; Stefanelli, Ulisse
2008
A variational principle for hardening elastoplasticity. Zbl 1170.35453
Stefanelli, Ulisse
2008
Ordered non-convex quasi-variational sweeping processes. Zbl 1148.34004
Chemetov, Nikolai V.; Monteiro Marques, Manuel D. P.; Stefanelli, Ulisse
2008
Existence for a class of nonlocal quasivariational evolution problems. Zbl 1157.49014
Kenmochi, Nobuyuki; Stefanelli, Ulisse
2008
A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity. Zbl 1105.74031
Auricchio, F.; Reali, A.; Stefanelli, U.
2007
Well-posedness and long-time behavior for a class of doubly nonlinear equations. Zbl 1195.35185
Schimperna, Giulio; Segatti, Antonio; Stefanelli, Ulisse
2007
A phenomenological 3D model describing stress-induced solid phase transformations with permanent inelasticity. Zbl 1113.74053
Auricchio, F.; Reali, A.; Stefanelli, U.
2007
Positivity of the temperature for phase transitions with micro-movements. Zbl 1116.80015
Schimperna, Giulio; Stefanelli, Ulisse
2007
Existence for a doubly nonlinear Volterra equation. Zbl 1151.45003
Gilardi, Gianni; Stefanelli, Ulisse
2007
Nonlocal quasivariational evolution problems. Zbl 1114.34044
Stefanelli, Ulisse
2006
Time-discretization and global solution for a doubly nonlinear Volterra equation. Zbl 1104.45005
Gilardi, Gianni; Stefanelli, Ulisse
2006
Analysis of a variable time-step discretization for a phase transition model with micro-movements. Zbl 1141.35035
Stefanelli, Ulisse
2006
Existence results for a phase transition model based on microscopic movements. Zbl 1105.80009
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2006
An order approach to a class of quasivariational sweeping processes. Zbl 1110.34039
Rossi, Riccarda; Stefanelli, Ulisse
2005
Well-posedness and approximation for a one-dimensional model for shape memory alloys. Zbl 1099.74045
Auricchio, Ferdinando; Stefanelli, Ulisse
2005
Analysis of a thermomechanical model for shape memory alloys. Zbl 1130.74351
Stefanelli, Ulisse
2005
Diffusion in poro-plastic media. Zbl 1095.74011
Showalter, R. E.; Stefanelli, U.
2004
On some nonlocal evolution equations in Banach spaces. Zbl 1060.34031
Stefanelli, Ulisse
2004
Numerical analysis of a three-dimensional super-elastic constitutive model. Zbl 1079.74663
Auricchio, Ferdinando; Stefanelli, Ulisse
2004
Structure result for steady-state solutions of a one-dimensional Frémond model of SMA. Zbl 1077.74033
Shirakawa, Ken; Stefanelli, Ulisse
2004
Study of a system for the isothermal separation of components in a binary alloy with change of phase. Zbl 1067.35128
Kessler, Daniel; Scheid, Jean-François; Schimperna, Giulio; Stefanelli, Ulisse
2004
Some quasivariational problems with memory. Zbl 1187.34079
Stefanelli, Ulisse
2004
One-dimensional thermo-viscoplastic processes with hysteresis and phase transitions. Zbl 1049.74036
Krejčí, Pavel; Sprekels, Jürgen; Stefanelli, Ulisse
2003
A generalized phase relaxation model with hysteresis. Zbl 1028.35005
Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2003
Global existence for a class of generalized systems for irreversible phase changes. Zbl 1004.35061
Colli, Pierluigi; Luterotti, Fabio; Schimperna, Giulio; Stefanelli, Ulisse
2002
On a class of doubly nonlinear nonlocal evolution equations. Zbl 1014.35051
Stefanelli, Ulisse
2002
...and 12 more Documents
all top 5

### Cited by 496 Authors

 71 Stefanelli, Ulisse 26 Roubíček, Tomáš 25 Rossi, Riccarda 22 Mielke, Alexander 13 Kružík, Martin 12 Akagi, Goro 12 Rocca, Elisabetta 11 Bétermin, Laurent 10 Auricchio, Ferdinando 10 Krejčí, Pavel 10 Schimperna, Giulio 9 Bonetti, Elena 9 Friedrich, Manuel 9 Savaré, Giuseppe 8 Liero, Matthias 8 Piovano, Paolo 8 Thomas, Marita 7 Bögelein, Verena 7 Davoli, Elisa 7 Duzaar, Frank 7 Grandi, Diego 7 Knees, Dorothee 7 Mainini, Edoardo 7 Marcellini, Paolo 7 Melchionna, Stefano 6 Bonfanti, Giovanna 6 Colli, Pierluigi 6 Eleuteri, Michela 6 Frémond, Michel 6 Heida, Martin 6 Zanini, Chiara 5 Benešová, Barbora 5 Boldrini, José Luiz 5 De Luca, Lucia 5 Gilardi, Gianni 5 Schätzler, Leah 5 Schmidt, Bernd 5 Segatti, Antonio 5 Tilli, Paolo 5 Visintin, Augusto 4 Arghavani, J. 4 Bessoud, Anne Laure 4 Crismale, Vito 4 de Saxcé, Géry 4 Hackl, Klaus 4 Hynd, Ryan 4 Kang, Guozheng 4 Knüpfer, Hans 4 Luterotti, Fabio 4 Mora, Maria Giovanna 4 Naghdabadi, Reza 4 Peletier, Mark Adriaan 4 Scarpa, Luca 4 Scheven, Christoph 4 Schlömerkemper, Anja 4 Tomassetti, Giuseppe 3 Alessi, Roberto 3 Babadjian, Jean-François 3 Cao, Xiaodan 3 Coti Zelati, Michele 3 da Silva, João Vítor 3 Fabrizio, Mauro 3 Hanke, Hauke 3 Heinemann, Christian 3 Junker, Philipp 3 Kan, Qianhua 3 Kenmochi, Nobuyuki 3 Kopfová, Jana 3 Kraus, Christiane 3 Kreutz, Leonard C. 3 Kubo, Masahiro 3 Lazzaroni, Giuliano 3 Levitas, Valery I. 3 Lindgren, Erik 3 Mantič, Vladislav 3 Melching, David 3 Molchanova, Anastasia Olegovna 3 Mora-Corral, Carlos 3 Ortiz, Michael 3 Oueslati, Abdelbacet 3 Panagiotopoulos, Christos G. 3 Ponsiglione, Marcello 3 Reali, Alessandro 3 Rizzoni, Raffaella 3 Scala, Riccardo 3 Serra, Enrico 3 Shirakawa, Ken 3 Showalter, Ralph E. 3 Toader, Rodica 3 Vilches, Emilio 3 Yamazaki, Noriaki 3 Yu, Chao 2 Aizicovici, Sergiu 2 Almi, Stefano 2 Antontsev, Stanislav Nikolaevich 2 Bressan, Alberto 2 Calsavara, Bianca Morelli Rodolfo 2 Conti, Sergio 2 Dal Maso, Gianni 2 De Miranda, Luís H. ...and 396 more Authors
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### Cited in 124 Serials

 28 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 21 Discrete and Continuous Dynamical Systems. Series S 19 Archive for Rational Mechanics and Analysis 18 Journal of Differential Equations 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 SIAM Journal on Mathematical Analysis 15 Calculus of Variations and Partial Differential Equations 15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Journal of Mathematical Analysis and Applications 14 Continuum Mechanics and Thermodynamics 13 International Journal of Plasticity 12 Mathematical Methods in the Applied Sciences 8 NoDEA. Nonlinear Differential Equations and Applications 8 European Journal of Mechanics. A. Solids 7 Computer Methods in Applied Mechanics and Engineering 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Journal of Nonlinear Science 7 Nonlinear Analysis. Real World Applications 7 Journal of Evolution Equations 6 Discrete and Continuous Dynamical Systems 5 Journal of Statistical Physics 5 Journal of Functional Analysis 5 Meccanica 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Applications of Mathematics 4 Communications in Mathematical Physics 4 Nonlinearity 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 International Journal for Numerical Methods in Engineering 4 Journal of Optimization Theory and Applications 4 Communications in Partial Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Dynamics and Differential Equations 4 Journal of Convex Analysis 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Set-Valued and Variational Analysis 3 Applicable Analysis 3 Journal of the Mechanics and Physics of Solids 3 Applied Mathematics and Optimization 3 SIAM Journal on Control and Optimization 3 Asymptotic Analysis 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Journal of Elasticity 3 Mathematics and Mechanics of Solids 3 Discrete and Continuous Dynamical Systems. Series B 3 Advances in Calculus of Variations 3 Evolution Equations and Control Theory 2 Applied Mathematics and Computation 2 Mathematische Nachrichten 2 Numerical Functional Analysis and Optimization 2 Quarterly of Applied Mathematics 2 Optimization 2 Applied Mathematics Letters 2 Journal of Integral Equations and Applications 2 European Journal of Applied Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Mathematical Fluid Mechanics 2 Communications in Contemporary Mathematics 2 Lobachevskii Journal of Mathematics 2 Milan Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 GAMM-Mitteilungen 2 Journal of Elliptic and Parabolic Equations 2 Bollettino dell’Unione Matematica Italiana 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 International Journal of Engineering Science 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Wave Motion 1 Mathematics of Computation 1 Calcolo 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Computational Mechanics 1 Sugaku Expositions 1 Journal of Global Optimization 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 Mathematical Programming. Series A. Series B 1 Indagationes Mathematicae. New Series 1 Archive of Applied Mechanics 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Set-Valued Analysis 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Electronic Journal of Probability 1 Annales Academiae Scientiarum Fennicae. Mathematica ...and 24 more Serials
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### Cited in 40 Fields

 265 Partial differential equations (35-XX) 227 Mechanics of deformable solids (74-XX) 141 Calculus of variations and optimal control; optimization (49-XX) 51 Operator theory (47-XX) 51 Statistical mechanics, structure of matter (82-XX) 39 Fluid mechanics (76-XX) 37 Ordinary differential equations (34-XX) 37 Numerical analysis (65-XX) 32 Classical thermodynamics, heat transfer (80-XX) 12 Integral equations (45-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Probability theory and stochastic processes (60-XX) 10 Systems theory; control (93-XX) 9 Mechanics of particles and systems (70-XX) 8 Functional analysis (46-XX) 7 Real functions (26-XX) 7 Biology and other natural sciences (92-XX) 5 Combinatorics (05-XX) 5 Measure and integration (28-XX) 5 Convex and discrete geometry (52-XX) 5 Optics, electromagnetic theory (78-XX) 3 Differential geometry (53-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Computer science (68-XX)