Edit Profile (opens in new tab) Scala, Riccardo Co-Author Distance Author ID: scala.riccardo Published as: Scala, Riccardo; Scala, R. Documents Indexed: 37 Publications since 2014, including 6 Additional arXiv Preprints Co-Authors: 30 Co-Authors with 34 Joint Publications 632 Co-Co-Authors all top 5 Co-Authors 3 single-authored 8 Bellettini, Giovanni 7 Van Goethem, Nicolas 4 Elshorbagy, Alaa 3 Marziani, Roberta 3 Schimperna, Giulio 2 Carano, Simone 2 De Luca, Lucia 2 Garroni, Adriana 2 Lucardesi, Ilaria 2 Maggiani, Giovanni Battista 2 Morandotti, Marco 2 Negri, Matteo 2 Rocca, Elisabetta 2 Zucco, Davide 1 Bonetti, Elena 1 Caroccia, Marco 1 Crismale, Vito 1 Dal Maso, Gianni 1 Della Pietra, Francesco 1 Fanzon, Silvio 1 Gidoni, Paolo 1 Melching, David 1 Nitsch, Carlo 1 Paolini, Maurizio 1 Ponsiglione, Marcello 1 Rodrigues, José Francisco 1 Scianna, Giuseppe 1 Stefanelli, Ulisse 1 Trombetti, Cristina 1 Zeman, Jan all top 5 Serials 3 SIAM Journal on Mathematical Analysis 2 Communications in Partial Differential Equations 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Methods in the Applied Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Continuum Mechanics and Thermodynamics 1 Methods and Applications of Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Interfaces and Free Boundaries 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Rivista di Matematica della Università di Parma. New Series 1 Mathematics and Mechanics of Complex Systems 1 Journal de l’École Polytechnique – Mathématiques 1 AIMS Mathematics all top 5 Fields 23 Calculus of variations and optimal control; optimization (49-XX) 23 Mechanics of deformable solids (74-XX) 15 Partial differential equations (35-XX) 7 Global analysis, analysis on manifolds (58-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-XX) 3 Operator theory (47-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 200 times in 138 Documents Cited by ▼ Year ▼ Quasistatic evolution in perfect plasticity as limit of dynamic processes. Zbl 1309.74017 Dal Maso, Gianni; Scala, Riccardo 24 2014 Currents and dislocations at the continuum scale. Zbl 1338.74047 Scala, Riccardo; Van Goethem, Nicolas 19 2016 A compatible-incompatible decomposition of symmetric tensors in \(L^{p}\) with application to elasticity. Zbl 1333.74020 Maggiani, Giovanni Battista; Scala, Riccardo; Van Goethem, Nicolas 17 2015 A rigorous sharp interface limit of a diffuse interface model related to tumor growth. Zbl 1370.92076 Rocca, Elisabetta; Scala, Riccardo 12 2017 A quasi-static evolution generated by local energy minimizers for an elastic material with a cohesive interface. Zbl 1462.74141 Negri, M.; Scala, R. 12 2017 Limit of viscous dynamic processes in delamination as the viscosity and inertia vanish. Zbl 1397.35306 Scala, Riccardo 10 2017 An optimization problem in thermal insulation with Robin boundary conditions. Zbl 1477.49021 Della Pietra, Francesco; Nitsch, Carlo; Scala, Riccardo; Trombetti, Cristina 10 2021 A variational approach to single crystals with dislocations. Zbl 1408.49012 Scala, Riccardo; van Goethem, Nicolas 8 2019 Confinement of dislocations inside a crystal with a prescribed external strain. Zbl 1417.74007 Lucardesi, Ilaria; Morandotti, Marco; Scala, Riccardo; Zucco, Davide 8 2018 On the viscous Cahn-Hilliard equation with singular potential and inertial term. Zbl 1427.35099 Scala, Riccardo; Schimperna, Giulio 8 2016 Constraint reaction and the Peach-Koehler force for dislocation networks. Zbl 1352.49052 Scala, Riccardo; Van Goethem, Nicolas 7 2016 On the strongly damped wave equation with constraint. Zbl 1387.35418 Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio 7 2017 Optimal estimates for the triple junction function and other surprising aspects of the area functional. Zbl 1461.49055 Scala, Riccardo 7 2020 Variational evolution of dislocations in single crystals. Zbl 1426.35211 Scala, Riccardo; Van Goethem, Nicolas 7 2019 Damage model for plastic materials at finite strains. Zbl 07804536 Melching, David; Scala, Riccardo; Zeman, Jan 5 2019 On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions. Zbl 1436.49053 Bellettini, Giovanni; Elshorbagy, Alaa; Paolini, Maurizio; Scala, Riccardo 5 2020 A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints. Zbl 1386.74106 Scala, Riccardo; Schimperna, Giulio 5 2017 Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces. Zbl 1440.74263 Fanzon, Silvio; Ponsiglione, Marcello; Scala, Riccardo 5 2020 The relaxed area of \(\mathbb{S}^1\)-valued singular maps in the strict \(BV\)-convergence. Zbl 1504.49030 Bellettini, Giovanni; Carano, Simone; Scala, Riccardo 5 2022 Analytic and geometric properties of dislocation singularities. Zbl 1443.58003 Scala, Riccardo; Van Goethem, Nicolas 4 2020 Derivation of a line-tension model for dislocations from a nonlinear three-dimensional energy: the case of quadratic growth. Zbl 1473.49015 Garroni, Adriana; Marziani, Roberta; Scala, Riccardo 4 2021 Relaxed area of graphs of piecewise Lipschitz maps in the strict \(BV\)-convergence. Zbl 1530.49011 Bellettini, Giovanni; Carano, Simone; Scala, Riccardo 3 2024 A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint. Zbl 1371.35287 Scala, Riccardo 2 2017 Existence and regularity of solutions for an evolution model of perfectly plastic plates. Zbl 1412.74013 Gidoni, P.; Maggiani, G. B.; Scala, R. 2 2019 Existence, energy identity, and higher time regularity of solutions to a dynamic viscoelastic cohesive interface model. Zbl 1475.35117 Negri, Matteo; Scala, Riccardo 2 2021 Linearization for finite plasticity under dislocation-density tensor regularization. Zbl 1521.74030 Scala, Riccardo; Stefanelli, Ulisse 1 2021 Dynamics of a viscoelastic membrane with gradient constraint. Zbl 1484.35291 Rodrigues, José Francisco; Scala, Riccardo 1 2022 Relaxed area of graphs of piecewise Lipschitz maps in the strict \(BV\)-convergence. Zbl 1530.49011 Bellettini, Giovanni; Carano, Simone; Scala, Riccardo 3 2024 The relaxed area of \(\mathbb{S}^1\)-valued singular maps in the strict \(BV\)-convergence. Zbl 1504.49030 Bellettini, Giovanni; Carano, Simone; Scala, Riccardo 5 2022 Dynamics of a viscoelastic membrane with gradient constraint. Zbl 1484.35291 Rodrigues, José Francisco; Scala, Riccardo 1 2022 An optimization problem in thermal insulation with Robin boundary conditions. Zbl 1477.49021 Della Pietra, Francesco; Nitsch, Carlo; Scala, Riccardo; Trombetti, Cristina 10 2021 Derivation of a line-tension model for dislocations from a nonlinear three-dimensional energy: the case of quadratic growth. Zbl 1473.49015 Garroni, Adriana; Marziani, Roberta; Scala, Riccardo 4 2021 Existence, energy identity, and higher time regularity of solutions to a dynamic viscoelastic cohesive interface model. Zbl 1475.35117 Negri, Matteo; Scala, Riccardo 2 2021 Linearization for finite plasticity under dislocation-density tensor regularization. Zbl 1521.74030 Scala, Riccardo; Stefanelli, Ulisse 1 2021 Optimal estimates for the triple junction function and other surprising aspects of the area functional. Zbl 1461.49055 Scala, Riccardo 7 2020 On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions. Zbl 1436.49053 Bellettini, Giovanni; Elshorbagy, Alaa; Paolini, Maurizio; Scala, Riccardo 5 2020 Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces. Zbl 1440.74263 Fanzon, Silvio; Ponsiglione, Marcello; Scala, Riccardo 5 2020 Analytic and geometric properties of dislocation singularities. Zbl 1443.58003 Scala, Riccardo; Van Goethem, Nicolas 4 2020 A variational approach to single crystals with dislocations. Zbl 1408.49012 Scala, Riccardo; van Goethem, Nicolas 8 2019 Variational evolution of dislocations in single crystals. Zbl 1426.35211 Scala, Riccardo; Van Goethem, Nicolas 7 2019 Damage model for plastic materials at finite strains. Zbl 07804536 Melching, David; Scala, Riccardo; Zeman, Jan 5 2019 Existence and regularity of solutions for an evolution model of perfectly plastic plates. Zbl 1412.74013 Gidoni, P.; Maggiani, G. B.; Scala, R. 2 2019 Confinement of dislocations inside a crystal with a prescribed external strain. Zbl 1417.74007 Lucardesi, Ilaria; Morandotti, Marco; Scala, Riccardo; Zucco, Davide 8 2018 A rigorous sharp interface limit of a diffuse interface model related to tumor growth. Zbl 1370.92076 Rocca, Elisabetta; Scala, Riccardo 12 2017 A quasi-static evolution generated by local energy minimizers for an elastic material with a cohesive interface. Zbl 1462.74141 Negri, M.; Scala, R. 12 2017 Limit of viscous dynamic processes in delamination as the viscosity and inertia vanish. Zbl 1397.35306 Scala, Riccardo 10 2017 On the strongly damped wave equation with constraint. Zbl 1387.35418 Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio 7 2017 A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints. Zbl 1386.74106 Scala, Riccardo; Schimperna, Giulio 5 2017 A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint. Zbl 1371.35287 Scala, Riccardo 2 2017 Currents and dislocations at the continuum scale. Zbl 1338.74047 Scala, Riccardo; Van Goethem, Nicolas 19 2016 On the viscous Cahn-Hilliard equation with singular potential and inertial term. Zbl 1427.35099 Scala, Riccardo; Schimperna, Giulio 8 2016 Constraint reaction and the Peach-Koehler force for dislocation networks. Zbl 1352.49052 Scala, Riccardo; Van Goethem, Nicolas 7 2016 A compatible-incompatible decomposition of symmetric tensors in \(L^{p}\) with application to elasticity. Zbl 1333.74020 Maggiani, Giovanni Battista; Scala, Riccardo; Van Goethem, Nicolas 17 2015 Quasistatic evolution in perfect plasticity as limit of dynamic processes. Zbl 1309.74017 Dal Maso, Gianni; Scala, Riccardo 24 2014 all cited Publications top 5 cited Publications all top 5 Cited by 185 Authors 16 Scala, Riccardo 12 Van Goethem, Nicolas 9 Garroni, Adriana 8 Conti, Sergio 8 Stefanelli, Ulisse 6 Riva, Filippo 5 Davoli, Elisa 5 Rocca, Elisabetta 4 Amstutz, Samuel 4 Bellettini, Giovanni 4 Carano, Simone 4 Crismale, Vito 4 Morandotti, Marco 4 Müller, Stefan 4 Rossi, Riccarda 3 De Luca, Lucia 3 Iurlano, Flaviana 3 Lazzaroni, Giuliano 3 Lewintan, Peter 3 Li, QinFeng 3 Marziani, Roberta 3 Melching, David 3 Nardini, Lorenzo 3 Neff, Patrizio 3 Nitsch, Carlo 3 Trombetti, Cristina 3 Yang, Xiaofeng 3 Zucco, Davide 2 Acampora, Paolo 2 Babadjian, Jean-François 2 Benilov, Eugene S. 2 Bonacini, Marco 2 Bonetti, Elena 2 Bužančić, Marin 2 Cavaterra, Cecilia 2 Cristoforoni, Emanuele 2 Gupta, Anurag P. 2 Huang, Yong 2 Larsen, Christopher J. 2 Li, Qiuqi 2 Mazari-Fouquer, Idriss 2 Miranville, Alain M. 2 Mucci, Domenico 2 Orlando, Gianluca 2 Ortiz, Michael 2 Pandey, Animesh 2 Rindler, Filip 2 Rodrigues, José Francisco 2 Roubíček, Tomáš 2 Schimperna, Giulio 2 Scilla, Giovanni 2 Sievers, Michael 2 Solombrino, Francesco 2 Thomas, Marita 2 Tilli, Paolo 2 Toader, Rodica 2 Velčić, Igor 2 Yao, Ruofei 1 Aibeche, Aissa 1 Allaire, Grégoire 1 Amrouche, Chérif 1 Ariza, Pilar 1 Baek, Yongjoo 1 Bahouli, Bassem 1 Bamer, Franz 1 Barchiesi, Emilio 1 Bilgin, Bilgesu Arif 1 Bonfoh, Ahmed S. 1 Brandolini, Barbara 1 Bredies, Kristian 1 Cai, Wenjun 1 Campos, Pedro Miguel 1 Cao, Xiaodan 1 Caponi, Maicol 1 Carioni, Marcello 1 Caroccia, Marco 1 Cesana, Pierluigi 1 Chen, Xiangling 1 Cheng, Haiqing 1 Chiacchio, Francesco 1 Christiansen, Snorre Harald 1 Cianci, Federico 1 Colli, Pierluigi 1 Colturato, Michele 1 Dal Maso, Gianni 1 Dao, Manh-Khang 1 de Saxcé, Géry 1 Della Pietra, Francesco 1 Ebobisse, François Bille 1 Eleuteri, Michela 1 Elshorbagy, Alaa 1 Fanzon, Silvio 1 Focardi, Matteo 1 Fortuna, Martino 1 Francfort, Gilles A. 1 Freddi, Francesco 1 Frémond, Michel 1 Friedrich, Manuel 1 Gidoni, Paolo 1 Gilardi, Gianni ...and 85 more Authors all top 5 Cited in 63 Serials 12 SIAM Journal on Mathematical Analysis 9 Calculus of Variations and Partial Differential Equations 7 Archive for Rational Mechanics and Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Differential Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Discrete and Continuous Dynamical Systems. Series S 3 Computer Methods in Applied Mechanics and Engineering 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics and Optimization 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Elasticity 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Nonlinear Science 3 Mathematics and Mechanics of Solids 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Computational Physics 2 Journal of Fluid Mechanics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Annalen 2 SIAM Journal on Applied Mathematics 2 Journal of Dynamics and Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Interfaces and Free Boundaries 2 Nonlinear Analysis. Real World Applications 2 Advances in Calculus of Variations 2 Mathematics and Mechanics of Complex Systems 2 Mathematics in Engineering 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Calcolo 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Physica D 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Continuum Mechanics and Thermodynamics 1 Journal of Inverse and Ill-Posed Problems 1 Journal of the European Mathematical Society (JEMS) 1 The ANZIAM Journal 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Statistical Mechanics: Theory and Experiment 1 Frontiers of Mathematics in China 1 Journal of Geometric Mechanics 1 Open Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bollettino dell’Unione Matematica Italiana 1 AIMS Mathematics all top 5 Cited in 29 Fields 83 Mechanics of deformable solids (74-XX) 70 Partial differential equations (35-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 16 Numerical analysis (65-XX) 10 Differential geometry (53-XX) 9 Measure and integration (28-XX) 9 Ordinary differential equations (34-XX) 8 Fluid mechanics (76-XX) 8 Biology and other natural sciences (92-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Citations by Year