Edit Profile (opens in new tab) Braides, Andrea Co-Author Distance Author ID: braides.andrea Published as: Braides, Andrea; Braides, A.; Braides, Andréa more...less External Links: MGP · ORCID · Wikidata · GND · IdRef Documents Indexed: 165 Publications since 1983, including 7 Books and 10 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 78 Co-Authors with 145 Joint Publications 1,699 Co-Co-Authors all top 5 Co-Authors 23 single-authored 20 Solci, Margherita 17 Chiadò Piat, Valeria 12 Piatnitski, Andrey L. 11 Cicalese, Marco 9 Alicandro, Roberto 9 Ansini, Nadia 9 Gelli, Maria Stella 7 Causin, Andrea 7 Defranceschi, Anneliese 7 Garroni, Adriana 6 Dal Maso, Gianni 6 Vitali, Enrico 4 Ambrosio, Luigi 4 Kreutz, Leonard C. 3 Coscia, Alessandra 3 Fonseca, Irene 3 Riey, Giuseppe 3 Scilla, Giovanni 3 Sigalotti, Laura 3 Tribuzio, Antonio 3 Zeppieri, Caterina Ida 2 Amar, Micol 2 Bach, Annika 2 Briane, Marc 2 Brusca, Giuseppe Cosma 2 Buttazzo, Giuseppe 2 Chambolle, Antonin 2 De Cicco, Virginia 2 D’Elia, Lorenza 2 Francfort, Gilles A. 2 Malusa, Annalisa 2 Novaga, Matteo 2 Stefanelli, Ulisse 2 Truskinovsky, Lev 2 Vallocchia, Valerio 1 Acerbi, Emilio 1 Anello, Irene 1 Bellettini, Giovanni 1 Bhattacharya, Kaushik 1 Bouchitté, Guy 1 Cancedda, Andrea 1 Caragiulo, Fabrizio 1 Caroccia, Marco 1 Casado-Díaz, Juan 1 Cassano, Biagio 1 Cermelli, Paolo 1 Colombo, Maria 1 Conti, Sergio 1 D’Ancona, Piero 1 De Luca, Lucia 1 Donati, Davide 1 Dovetta, Simone 1 Fragalà, Ilaria 1 Gloria, Antoine 1 Gobbino, Massimo 1 Larsen, Christopher J. 1 Le Bris, Claude 1 Leoni, Giovanni 1 Lew, Adrian J. 1 Lukkassen, Dag 1 Malchiodi, Andrea 1 March, Riccardo 1 Maslennikov, Mikhail 1 Nodargi, Nicola A. 1 Notarantonio, Lino 1 Ortiz, Michael 1 Palombaro, Mariapia 1 Ruf, Matthias 1 Sarrocco, David 1 Schmidt, Bernd 1 Shah, Jayant 1 Sigalotti, Mario 1 Solombrino, Francesco 1 Stefani, Giorgio 1 Theil, Florian 1 Valente, Vanda 1 Yip, Nung Kwan 1 Zimmer, Johannes all top 5 Serials 10 Archive for Rational Mechanics and Analysis 7 Calculus of Variations and Partial Differential Equations 6 SIAM Journal on Mathematical Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Interfaces and Free Boundaries 4 Journal of Statistical Physics 4 Asymptotic Analysis 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Networks and Heterogeneous Media 3 Applicable Analysis 3 Applied Mathematics and Optimization 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Nonlinear Science 3 Mathematics and Mechanics of Solids 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 2 Manuscripta Mathematica 2 Rendiconti della Accademia Nazionale delle Scienze Detta dei XL. Memorie di Matemàtica. Serie V 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Advances in Mathematical Sciences and Applications 2 Journal of Convex Analysis 2 Discrete and Continuous Dynamical Systems 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Multiscale Modeling & Simulation 2 Lecture Notes in Mathematics 2 Oxford Lecture Series in Mathematics and its Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Ricerche di Matematica 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Communications in Partial Differential Equations 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Continuum Mechanics and Thermodynamics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Communications in Contemporary Mathematics 1 Advanced Nonlinear Studies 1 Oberwolfach Reports 1 Cambridge Monographs on Applied and Computational Mathematics 1 Lecture Notes of the Unione Matematica Italiana 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Analysis & PDE 1 Mathematics and Mechanics of Complex Systems 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Pathways in Mathematics 1 SpringerBriefs on PDEs and Data Science all top 5 Fields 119 Calculus of variations and optimal control; optimization (49-XX) 72 Mechanics of deformable solids (74-XX) 57 Partial differential equations (35-XX) 27 Statistical mechanics, structure of matter (82-XX) 6 Differential geometry (53-XX) 6 General topology (54-XX) 5 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Information and communication theory, circuits (94-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 141 Publications have been cited 2,632 times in 1,378 Documents Cited by ▼ Year ▼ \(\Gamma\)-convergence for beginners. Zbl 1198.49001 Braides, Andrea 534 2002 Homogenization of multiple integrals. Zbl 0911.49010 Braides, Andrea; Defranceschi, Anneliese 208 1998 Approximation of free-discontinuity problems. Zbl 0909.49001 Braides, Andrea 166 1998 A handbook of \(\Gamma\)-convergence. Zbl 1195.35002 Braides, Andrea 78 2006 Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization. Zbl 0676.49029 Ambrosio, Luigi; Braides, Andrea 75 1990 Homogenization of some almost periodic coercive functional. Zbl 0582.49014 Braides, Andrea 62 1985 Local minimization, variational evolution and \(\Gamma\)-convergence. Zbl 1316.49002 Braides, Andrea 61 2014 Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case. Zbl 0945.74006 Braides, Andrea; Dal Maso, Gianni; Garroni, Adriana 58 1999 3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020 Braides, A.; Fonseca, I.; Francfort, G. 56 2000 Asymptotic expansions by \(\Gamma \)-convergence. Zbl 1160.74363 Braides, Andrea; Truskinovsky, Lev 56 2008 Homogenization of free discontinuity problems. Zbl 0924.35015 Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico 53 1996 A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010 Braides, Andrea; Fonseca, Irene; Leoni, Giovanni 51 2000 Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence. Zbl 0676.49028 Ambrosio, Luigi; Braides, Andrea 49 1990 Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029 Alicandro, Roberto; Braides, Andrea; Cicalese, Marco 40 2006 Effective cohesive behavior of layers of interatomic planes. Zbl 1093.74013 Braides, Andrea; Lew, Adrian J.; Ortiz, Michael 39 2006 Non-local approximation of the Mumford-Shah functional. Zbl 0873.49009 Braides, Andrea; Dal Maso, G. 36 1997 Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004 Braides, Andrea; Gelli, Maria Stella 36 2002 Limits of discrete systems with long-range interactions. Zbl 1031.49022 Braides, Andrea; Gelli, Maria Stella 34 2002 Energies in SBV and variational models in fracture mechanics. Zbl 0904.73045 Ambrosio, L.; Braides, A. 31 1995 Surface energies in nonconvex discrete systems. Zbl 1205.82036 Braides, Andrea; Cicalese, Marco 29 2007 Homogenization of oscillating boundaries and applications to thin films. Zbl 0983.49008 Ansini, Nadia; Braides, Andrea 27 2001 A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017 Braides, Andrea; Solci, Margherita; Vitali, Enrico 26 2007 Homogenization of surface and length energies for spin systems. Zbl 1270.35057 Braides, Andrea; Piatnitski, Andrey 26 2013 Relaxation results for some free discontinuity problems. Zbl 0817.49015 Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe 24 1995 Integral representation results for functionals defined on \(\text{SBV}(\Omega;\mathbb{R}^ m)\). Zbl 0880.49010 Braides, Andréa; Chiadò Piat, Valeria 24 1996 Asymptotic analysis of periodically-perforated nonlinear media. Zbl 1036.35021 Ansini, Nadia; Braides, Andrea 23 2005 A relaxation result for energies defined on pairs set-function and applications. Zbl 1149.49017 Braides, Andrea; Chambolle, Antonin; Solci, Margherita 22 2007 Interfaces, modulated phases and textures in lattice systems. Zbl 1359.82006 Braides, Andrea; Cicalese, Marco 22 2017 Free-discontinuity problems via functionals involving the \(L^1\)-norm of the gradient and their approximations. Zbl 0947.49011 Alicandro, Roberto; Braides, Andrea; Shah, Jayant 21 1999 Gradient theory of phase transitions in composite media. Zbl 1031.49021 Ansini, Nadia; Braides, Andrea; Chiadò Piat, Valeria 21 2003 Brittle thin films. Zbl 0999.49012 Braides, A.; Fonseca, I. 17 2001 Homogenization by blow-up. Zbl 1171.35315 Braides, Andrea; Maslennikov, Mikhail; Sigalotti, Laura 17 2008 Density of polyhedral partitions. Zbl 1366.49051 Braides, Andrea; Conti, Sergio; Garroni, Adriana 17 2017 Continuum limits of discrete thin films with superlinear growth densities. Zbl 1148.49010 Alicandro, Roberto; Braides, Andrea; Cicalese, Marco 15 2008 A variational approach to double-porosity problems. Zbl 1113.35014 Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey 15 2004 \(Q\)-tensor continuum energies as limits of head-to-tail symmetric spin systems. Zbl 1321.49024 Braides, Andrea; Cicalese, Marco; Solombrino, Francesco 15 2015 The passage from discrete to continuous variational problems: a nonlinear homogenization process. Zbl 1320.74090 Braides, A.; Gelli, M. S. 15 2005 Motion and pinning of discrete interfaces. Zbl 1186.82054 Braides, Andrea; Gelli, Maria Stella; Novaga, Matteo 14 2010 Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy. Zbl 1160.49010 Braides, Andrea; Zeppieri, Caterina Ida 14 2009 From discrete systems to continuous variational problems: an introduction. Zbl 1131.49008 Braides, Andrea; Gelli, Maria Stella 13 2006 Continuum limit and stochastic homogenization of discrete ferromagnetic thin films. Zbl 1379.49045 Braides, Andrea; Cicalese, Marco; Ruf, Matthias 13 2018 Homogenization of periodic nonlinear media with stiff and soft inclusions. Zbl 0836.73003 Braides, Andrea; Garroni, Adriana 12 1995 Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: a one-dimensional prototypical case. Zbl 1370.74013 Braides, Andrea; Solci, Margherita 12 2016 Non-local variational limits of discrete systems. Zbl 0957.49011 Braides, Andrea 11 2000 Homogenization of almost periodic monotone operators. Zbl 0785.35007 Braides, Andrea; Chiadò Piat, Valeria; Defranceschi, Anneliese 11 1992 Approximation by \(\Gamma\)-convergence of a curvature-depending functional in visual reconstruction. Zbl 1098.49012 Braides, Andrea; March, Riccardo 10 2006 A homogenization theorem for weakly almost periodic functionals. Zbl 0611.49007 Braides, Andrea 10 1986 Homogenization of discrete high-contrast energies. Zbl 1321.49023 Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey 10 2015 Variational problems with percolation: dilute spin systems at zero temperature. Zbl 1260.82043 Braides, Andrea; Piatnitski, Andrey 10 2012 Quantitative analysis of finite-difference approximations of free-discontinuity problems. Zbl 1457.65039 Bach, Annika; Braides, Andrea; Zeppieri, Caterina Ida 10 2020 Reiterated homogenization of integral functionals. Zbl 1010.49011 Braides, Andrea; Lukkassen, Dag 9 2000 A relaxation approach to Hencky’s plasticity. Zbl 0860.49014 Braides, Andrea; Defranceschi, A.; Vitali, E. 9 1997 Minimizing movements along a sequence of functionals and curves of maximal slope. (Mouvements minimisants le long d’une séquence de fonctionnelles et courbes de pente maximale.) Zbl 1342.49013 Braides, Andrea; Colombo, Maria; Gobbino, Massimo; Solci, Margherita 9 2016 On the nonlocal approximation of free-discontinuity problems. Zbl 0907.49009 Braides, Andrea; Garroni, Adriana 8 1998 Interfacial energies on Penrose lattices. Zbl 1317.74076 Braides, Andrea; Solci, Margherita 8 2011 Free-discontinuity problems generated by singular perturbation. Zbl 0920.49007 Alicandro, Roberto; Braides, Andrea; Gelli, Maria Stella 8 1998 Bounds on the effective behaviour of a square conducting lattice. Zbl 1070.74040 Braides, Andrea; Francfort, Gilles A. 8 2004 Riemannian approximation of Finsler metrics. Zbl 1032.49020 Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria 8 2002 Discrete-to-continuum limits of multibody systems with bulk and surface long-range interactions. Zbl 1446.49009 Bach, Annika; Braides, Andrea; Cicalese, Marco 8 2020 Multi-scale free-discontinuity problems with soft inclusions. Zbl 1272.49024 Braides, Andrea; Solci, Margherita 8 2013 Motion of discrete interfaces in periodic media. Zbl 1286.35026 Braides, Andrea; Scilla, Giovanni 8 2013 A note on equi-integrability in dimension reduction problems. Zbl 1109.74034 Braides, Andrea; Zeppieri, Caterina Ida 7 2007 Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. Zbl 1221.35048 Braides, Andrea; Briane, Marc; Casado-Díaz, Juan 7 2009 Homogenization of Penrose tilings. Zbl 1167.49012 Braides, Andrea; Riey, Giuseppe; Solci, Margherita 7 2009 Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016 Bellettini, G.; Braides, A.; Riey, G. 7 2005 Almost periodic methods in the theory of homogenization. Zbl 0724.49020 Braides, Andrea 7 1992 The interaction between bulk energy and surface energy in multiple integrals. Zbl 0810.49015 Braides, Andrea; Coscia, Alessandra 7 1994 Overall properties of a discrete membrane with randomly distributed defects. Zbl 1147.74039 Braides, Andrea; Piatnitski, Andrey 7 2008 Discrete-to-continuum variational methods for lattice systems. Zbl 1373.49012 Braides, Andrea 7 2014 Motion of discrete interfaces through mushy layers. Zbl 1346.53006 Braides, Andrea; Solci, Margherita 7 2016 Design of lattice surface energies. Zbl 1397.35014 Braides, Andrea; Kreutz, Leonard 7 2018 Interfacial energies on quasicrystals. Zbl 1257.82018 Braides, Andrea; Causin, Andrea; Solci, Margherita 7 2012 Special functions with bounded variation and with weakly differentiable traces on the jump set. Zbl 0909.49003 Ambrosio, Luigi; Braides, Andrea; Garroni, Adriana 6 1998 Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media. Zbl 0988.35020 Ansini, Nadia; Braides, Andrea 6 2001 Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. Zbl 1373.35029 Braides, Andrea; Kreutz, Leonard 6 2017 Interactions between homogenization and phase-transition processes. Zbl 1020.35007 Ansini, N.; Braides, A.; Chiadò Piat, V. 6 2002 The passage from nonconvex discrete systems to variational problems in Sobolev spaces: The one-dimensional case. Zbl 1023.49009 Braides, A.; Gelli, M.; Sigalotti, M. 6 2002 An example of non-existence of plane-like minimizers for an almost-periodic Ising system. Zbl 1302.82015 Braides, Andrea 6 2014 Homogenization of non-coercive integrals. Zbl 0547.49007 Braides, Andrea 5 1983 An integral-representation result for continuum limits of discrete energies with multibody interactions. Zbl 1386.49017 Braides, Andrea; Kreutz, Leonard 5 2018 A singular perturbation approach to variational problems in fracture mechanics. Zbl 0777.73048 Braides, Andrea; Coscia, Alessandra 5 1993 Loss of polyconvexity by homogenization. Zbl 0811.73005 Braides, Andrea 5 1994 Crystalline motion of interfaces between patterns. Zbl 1355.82020 Braides, Andrea; Cicalese, Marco; Yip, Nung Kwan 5 2016 Homogenization of networks in domains with oscillating boundaries. Zbl 1412.49033 Braides, Andrea; Chiadò Piat, Valeria 5 2019 A compactness result for a second-order variational discrete model. Zbl 1272.49095 Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico 5 2012 Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches. Zbl 1481.35148 Alicandro, Roberto; Braides, Andrea; Cicalese, Marco; De Luca, Lucia; Piatnitski, Andrey 5 2022 A variational theory of convolution-type functionals. Zbl 1528.49001 Alicandro, Roberto; Ansini, Nadia; Braides, Andrea; Piatnitski, Andrey; Tribuzio, Antonio 5 2023 Relaxation of functionals with constraints on the divergence. Zbl 0662.49004 Braides, Andrea 4 1987 A derivation formula for convex integral functionals defined on \(\text{BV} (\Omega)\). Zbl 0842.49015 Braides, Andrea; Chiadò Piat, Valeria 4 1995 Relaxation of elastic energies with free discontinuities and constraint on the strain. Zbl 1170.49306 Defranceschi, Anneliese; Braides, Andrea; Vitali, Enrico 4 2002 Curvature theory of boundary phases: The two-dimensional case. Zbl 1029.49039 Braides, Andrea; Malchiodi, Andrea 4 2002 Non convex homogenization problems for singular structures. Zbl 1156.74361 Braides, Andrea; Piat, Valeria Chiadò 4 2008 Correctors for the homogenization of almost periodic monotone operators. Zbl 0768.35005 Braides, Andrea 4 1991 Remarks on the homogenization of connected media. Zbl 0802.35006 Braides, Andrea; Chiadò Piat, Valeria 4 1994 Interfacial energies of systems of chiral molecules. Zbl 1354.49021 Braides, Andrea; Garroni, Adriana; Palombaro, Mariapia 4 2016 A variational model in image processing with focal points. Zbl 1213.94012 Braides, Andrea; Riey, Giuseppe 4 2008 Discrete double-porosity models for spin systems. Zbl 1371.49020 Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita 4 2016 Thin films with many small cracks. Zbl 1011.74042 Bhattacharya, Kaushik; Braides, Andrea 4 2002 A homogenization result for interacting elastic and brittle media. Zbl 1407.74072 Braides, Andrea; Causin, Andrea; Solci, Margherita 4 2018 Nucleation and backward motion of discrete interfaces. (Nucléation et mouvement en arrière des interfaces discrètes.) Zbl 1278.49052 Braides, Andrea; Scilla, Giovanni 4 2013 A variational theory of convolution-type functionals. Zbl 1528.49001 Alicandro, Roberto; Ansini, Nadia; Braides, Andrea; Piatnitski, Andrey; Tribuzio, Antonio 5 2023 Continuity of some non-local functionals with respect to a convergence of the underlying measures. Zbl 1510.49007 Braides, Andrea; Dal Maso, Gianni 2 2023 Compactness for a class of integral functionals with interacting local and non-local terms. Zbl 1514.49008 Braides, Andrea; Maso, Gianni Dal 1 2023 Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches. Zbl 1481.35148 Alicandro, Roberto; Braides, Andrea; Cicalese, Marco; De Luca, Lucia; Piatnitski, Andrey 5 2022 Homogenization of quadratic convolution energies in periodically perforated domains. Zbl 1500.35020 Braides, Andrea; Piatnitski, Andrey 4 2022 Homogenization of ferromagnetic energies on Poisson random sets in the plane. Zbl 1485.49019 Braides, Andrea; Piatnitski, Andrey 3 2022 Geometric flows on planar lattices. Zbl 1486.53002 Braides, Andrea; Solci, Margherita 4 2021 Homogenization of random convolution energies. Zbl 1472.35027 Braides, Andrea; Piatnitski, Andrey 4 2021 Perturbed minimizing movements of families of functionals. Zbl 07314563 Braides, Andrea; Tribuzio, Antonio 3 2021 An extension theorem from connected sets and homogenization of non-local functionals. Zbl 07335947 Braides, Andrea; Chiadò Piat, Valeria; D’Elia, Lorenza 1 2021 Quantitative analysis of finite-difference approximations of free-discontinuity problems. Zbl 1457.65039 Bach, Annika; Braides, Andrea; Zeppieri, Caterina Ida 10 2020 Discrete-to-continuum limits of multibody systems with bulk and surface long-range interactions. Zbl 1446.49009 Bach, Annika; Braides, Andrea; Cicalese, Marco 8 2020 \(\Gamma\)-limit of the cut functional on dense graph sequences. Zbl 1439.05068 Braides, Andrea; Cermelli, Paolo; Dovetta, Simone 4 2020 Crystalline evolutions with rapidly oscillating forcing terms. Zbl 1447.53084 Braides, Andrea; Malusa, Annalisa; Novaga, Matteo 3 2020 Compactness by Coarse-Graining in long-range lattice systems. Zbl 1462.49026 Braides, Andrea; Solci, Margherita 2 2020 Homogenization of networks in domains with oscillating boundaries. Zbl 1412.49033 Braides, Andrea; Chiadò Piat, Valeria 5 2019 Minimizing movements for oscillating energies: the critical regime. Zbl 1418.35023 Ansini, Nadia; Braides, Andrea; Zimmer, Johannes 4 2019 Continuum limit and stochastic homogenization of discrete ferromagnetic thin films. Zbl 1379.49045 Braides, Andrea; Cicalese, Marco; Ruf, Matthias 13 2018 Design of lattice surface energies. Zbl 1397.35014 Braides, Andrea; Kreutz, Leonard 7 2018 An integral-representation result for continuum limits of discrete energies with multibody interactions. Zbl 1386.49017 Braides, Andrea; Kreutz, Leonard 5 2018 A homogenization result for interacting elastic and brittle media. Zbl 1407.74072 Braides, Andrea; Causin, Andrea; Solci, Margherita 4 2018 Asymptotic analysis of a ferromagnetic Ising system with “diffuse” interfacial energy. Zbl 1388.49010 Braides, Andrea; Causin, Andrea; Solci, Margherita 2 2018 Static, quasistatic and dynamic analysis for scaled Perona-Malik functionals. Zbl 1397.49018 Braides, Andrea; Vallocchia, Valerio 1 2018 Asymptotic behaviour of ground states for mixtures of ferromagnetic and antiferromagnetic interactions in a dilute regime. Zbl 1395.82038 Braides, Andrea; Causin, Andrea; Piatnitski, Andrey; Solci, Margherita 1 2018 Interfaces, modulated phases and textures in lattice systems. Zbl 1359.82006 Braides, Andrea; Cicalese, Marco 22 2017 Density of polyhedral partitions. Zbl 1366.49051 Braides, Andrea; Conti, Sergio; Garroni, Adriana 17 2017 Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. Zbl 1373.35029 Braides, Andrea; Kreutz, Leonard 6 2017 Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems. Zbl 1381.49011 Braides, Andrea; Gelli, Maria Stella 3 2017 Homogenization of metrics in oscillating manifolds. Zbl 1367.35023 Braides, Andrea; Cancedda, Andrea; Piat, Valeria Chiadò 1 2017 Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: a one-dimensional prototypical case. Zbl 1370.74013 Braides, Andrea; Solci, Margherita 12 2016 Minimizing movements along a sequence of functionals and curves of maximal slope. (Mouvements minimisants le long d’une séquence de fonctionnelles et courbes de pente maximale.) Zbl 1342.49013 Braides, Andrea; Colombo, Maria; Gobbino, Massimo; Solci, Margherita 9 2016 Motion of discrete interfaces through mushy layers. Zbl 1346.53006 Braides, Andrea; Solci, Margherita 7 2016 Crystalline motion of interfaces between patterns. Zbl 1355.82020 Braides, Andrea; Cicalese, Marco; Yip, Nung Kwan 5 2016 Interfacial energies of systems of chiral molecules. Zbl 1354.49021 Braides, Andrea; Garroni, Adriana; Palombaro, Mariapia 4 2016 Discrete double-porosity models for spin systems. Zbl 1371.49020 Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita 4 2016 Asymptotic analysis of microscopic impenetrability constraints for atomistic systems. Zbl 1482.74150 Braides, A.; Gelli, M. S. 2 2016 Quasi-static damage evolution and homogenization: a case study of non-commutability. Zbl 1338.35027 Braides, Andrea; Cassano, Biagio; Garroni, Adriana; Sarrocco, David 1 2016 \(Q\)-tensor continuum energies as limits of head-to-tail symmetric spin systems. Zbl 1321.49024 Braides, Andrea; Cicalese, Marco; Solombrino, Francesco 15 2015 Homogenization of discrete high-contrast energies. Zbl 1321.49023 Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey 10 2015 Local minimization, variational evolution and \(\Gamma\)-convergence. Zbl 1316.49002 Braides, Andrea 61 2014 Discrete-to-continuum variational methods for lattice systems. Zbl 1373.49012 Braides, Andrea 7 2014 An example of non-existence of plane-like minimizers for an almost-periodic Ising system. Zbl 1302.82015 Braides, Andrea 6 2014 Variational evolution of one-dimensional Lennard-Jones systems. Zbl 1321.35229 Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico 3 2014 Homogenization of surface and length energies for spin systems. Zbl 1270.35057 Braides, Andrea; Piatnitski, Andrey 26 2013 Multi-scale free-discontinuity problems with soft inclusions. Zbl 1272.49024 Braides, Andrea; Solci, Margherita 8 2013 Motion of discrete interfaces in periodic media. Zbl 1286.35026 Braides, Andrea; Scilla, Giovanni 8 2013 Nucleation and backward motion of discrete interfaces. (Nucléation et mouvement en arrière des interfaces discrètes.) Zbl 1278.49052 Braides, Andrea; Scilla, Giovanni 4 2013 Variational problems with percolation: dilute spin systems at zero temperature. Zbl 1260.82043 Braides, Andrea; Piatnitski, Andrey 10 2012 Interfacial energies on quasicrystals. Zbl 1257.82018 Braides, Andrea; Causin, Andrea; Solci, Margherita 7 2012 A compactness result for a second-order variational discrete model. Zbl 1272.49095 Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico 5 2012 Interfacial energies on Penrose lattices. Zbl 1317.74076 Braides, Andrea; Solci, Margherita 8 2011 \(\Gamma \)-convergence for stable states and local minimizers. Zbl 1233.49009 Braides, Andrea; Larsen, Christopher J. 3 2011 Models of defects in atomistic systems. Zbl 1216.49012 Braides, Andrea; Sigalotti, Laura 2 2011 Motion and pinning of discrete interfaces. Zbl 1186.82054 Braides, Andrea; Gelli, Maria Stella; Novaga, Matteo 14 2010 Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy. Zbl 1160.49010 Braides, Andrea; Zeppieri, Caterina Ida 14 2009 Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. Zbl 1221.35048 Braides, Andrea; Briane, Marc; Casado-Díaz, Juan 7 2009 Homogenization of Penrose tilings. Zbl 1167.49012 Braides, Andrea; Riey, Giuseppe; Solci, Margherita 7 2009 Asymptotic expansions by \(\Gamma \)-convergence. Zbl 1160.74363 Braides, Andrea; Truskinovsky, Lev 56 2008 Homogenization by blow-up. Zbl 1171.35315 Braides, Andrea; Maslennikov, Mikhail; Sigalotti, Laura 17 2008 Continuum limits of discrete thin films with superlinear growth densities. Zbl 1148.49010 Alicandro, Roberto; Braides, Andrea; Cicalese, Marco 15 2008 Overall properties of a discrete membrane with randomly distributed defects. Zbl 1147.74039 Braides, Andrea; Piatnitski, Andrey 7 2008 Non convex homogenization problems for singular structures. Zbl 1156.74361 Braides, Andrea; Piat, Valeria Chiadò 4 2008 A variational model in image processing with focal points. Zbl 1213.94012 Braides, Andrea; Riey, Giuseppe 4 2008 Asymptotic analysis of periodically-perforated nonlinear media at and close to the critical exponent. Zbl 1139.35312 Braides, Andrea; Sigalotti, Laura 1 2008 Exact bounds on the effective behavior of a conducting discrete polycrystal. Zbl 1151.74032 Braides, Andrea; Gloria, Antoine 1 2008 Surface energies in nonconvex discrete systems. Zbl 1205.82036 Braides, Andrea; Cicalese, Marco 29 2007 A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017 Braides, Andrea; Solci, Margherita; Vitali, Enrico 26 2007 A relaxation result for energies defined on pairs set-function and applications. Zbl 1149.49017 Braides, Andrea; Chambolle, Antonin; Solci, Margherita 22 2007 A note on equi-integrability in dimension reduction problems. Zbl 1109.74034 Braides, Andrea; Zeppieri, Caterina Ida 7 2007 Homogenization of non-linear variational problems with thin low-conducting layers. Zbl 1112.35015 Braides, Andrea; Briane, Marc 2 2007 A handbook of \(\Gamma\)-convergence. Zbl 1195.35002 Braides, Andrea 78 2006 Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029 Alicandro, Roberto; Braides, Andrea; Cicalese, Marco 40 2006 Effective cohesive behavior of layers of interatomic planes. Zbl 1093.74013 Braides, Andrea; Lew, Adrian J.; Ortiz, Michael 39 2006 From discrete systems to continuous variational problems: an introduction. Zbl 1131.49008 Braides, Andrea; Gelli, Maria Stella 13 2006 Approximation by \(\Gamma\)-convergence of a curvature-depending functional in visual reconstruction. Zbl 1098.49012 Braides, Andrea; March, Riccardo 10 2006 Multiscale analysis by \(\Gamma\)-convergence of a one-dimensional nonlocal functional related to a shell-membrane transition. Zbl 1117.49016 Ansini, Nadia; Braides, Andrea; Valente, Vanda 2 2006 Another brick in the wall. Zbl 1098.35014 Braides, Andrea; Piat, Valeria Chiadò 2 2006 Topics on concentration phenomena and problems with multiple scales. Zbl 1098.49002 2 2006 Asymptotic analysis of periodically-perforated nonlinear media. Zbl 1036.35021 Ansini, Nadia; Braides, Andrea 23 2005 The passage from discrete to continuous variational problems: a nonlinear homogenization process. Zbl 1320.74090 Braides, A.; Gelli, M. S. 15 2005 Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016 Bellettini, G.; Braides, A.; Riey, G. 7 2005 \(L^{\infty}\) energies on discontinuous functions. Zbl 1082.49016 Alicandro, Roberto; Braides, Andrea; Cicalese, Marco 1 2005 A variational approach to double-porosity problems. Zbl 1113.35014 Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey 15 2004 Bounds on the effective behaviour of a square conducting lattice. Zbl 1070.74040 Braides, Andrea; Francfort, Gilles A. 8 2004 Gradient theory of phase transitions in composite media. Zbl 1031.49021 Ansini, Nadia; Braides, Andrea; Chiadò Piat, Valeria 21 2003 Discrete approximation of functionals with jumps and creases. Zbl 1039.49029 Braides, Andrea 2 2003 \(\Gamma\)-convergence for beginners. Zbl 1198.49001 Braides, Andrea 534 2002 Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004 Braides, Andrea; Gelli, Maria Stella 36 2002 Limits of discrete systems with long-range interactions. Zbl 1031.49022 Braides, Andrea; Gelli, Maria Stella 34 2002 Riemannian approximation of Finsler metrics. Zbl 1032.49020 Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria 8 2002 Interactions between homogenization and phase-transition processes. Zbl 1020.35007 Ansini, N.; Braides, A.; Chiadò Piat, V. 6 2002 The passage from nonconvex discrete systems to variational problems in Sobolev spaces: The one-dimensional case. Zbl 1023.49009 Braides, A.; Gelli, M.; Sigalotti, M. 6 2002 Relaxation of elastic energies with free discontinuities and constraint on the strain. Zbl 1170.49306 Defranceschi, Anneliese; Braides, Andrea; Vitali, Enrico 4 2002 Curvature theory of boundary phases: The two-dimensional case. Zbl 1029.49039 Braides, Andrea; Malchiodi, Andrea 4 2002 Thin films with many small cracks. Zbl 1011.74042 Bhattacharya, Kaushik; Braides, Andrea 4 2002 Homogenization of oscillating boundaries and applications to thin films. Zbl 0983.49008 Ansini, Nadia; Braides, Andrea 27 2001 Brittle thin films. Zbl 0999.49012 Braides, A.; Fonseca, I. 17 2001 Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media. Zbl 0988.35020 Ansini, Nadia; Braides, Andrea 6 2001 3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020 Braides, A.; Fonseca, I.; Francfort, G. 56 2000 A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010 Braides, Andrea; Fonseca, Irene; Leoni, Giovanni 51 2000 ...and 41 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,447 Authors 76 Braides, Andrea 30 Conti, Sergio 30 Fonseca, Irene 29 Cicalese, Marco 21 Garroni, Adriana 20 Alicandro, Roberto 20 Friedrich, Manuel 19 Chambolle, Antonin 19 Dal Maso, Gianni 19 Zeppieri, Caterina Ida 18 Novaga, Matteo 16 Leoni, Giovanni 16 Piatnitski, Andrey L. 15 Babadjian, Jean-François 15 Ruf, Matthias 15 Solombrino, Francesco 14 Focardi, Matteo 14 Schmidt, Bernd 14 Solci, Margherita 14 Visintin, Augusto 14 Zappale, Elvira 13 Ortiz, Michael 12 Crismale, Vito 12 Davoli, Elisa 12 De Luca, Lucia 12 Gaudiello, Antonio 12 Ponsiglione, Marcello 12 Scardia, Lucia 11 Bach, Annika 11 Francfort, Gilles A. 11 Kreisbeck, Carolin 11 Kružík, Martin 11 Orlando, Gianluca 11 Pankratov, Leonid S. 11 Scilla, Giovanni 11 Truskinovsky, Lev 11 Velčić, Igor 10 Gloria, Antoine 10 Mandallena, Jean-Philippe 10 Marigo, Jean-Jacques 10 Peletier, Mark Adriaan 10 Ponte Castañeda, Pedro 10 Stefanelli, Ulisse 9 Ansini, Nadia 9 Anza Hafsa, Omar 9 Bellido, José Carlos 9 Bourdin, Blaise 9 Casado-Díaz, Juan 9 Chiadò Piat, Valeria 9 Cristoferi, Riccardo 9 Gelli, Maria Stella 9 Kreutz, Leonard C. 9 Lazzaroni, Giuliano 9 Paroni, Roberto 9 Sili, Ali 8 Bellettini, Giovanni 8 Le Bris, Claude 8 Cardoso Matias, José Carlos Pedro 8 Mielke, Alexander 8 Mora-Corral, Carlos 8 Morini, Massimiliano 8 Müller, Stefan 8 Muratov, Cyrill B. 8 Neukamm, Stefan 8 Pedregal, Pablo 8 Rumpf, Martin 8 Serrano, Hélia 8 Thorpe, Matthew 8 Wick, Thomas 8 Wu, Jianying 7 Almi, Stefano 7 Amaziane, Brahim 7 Briane, Marc 7 Caroccia, Marco 7 de Lorenzis, Laura 7 Goldman, Michael 7 Miehe, Christian 7 Millot, Vincent 7 Palombaro, Mariapia 7 Schäffner, Mathias 7 Schlömerkemper, Anja 7 Serfaty, Sylvia 7 Walker, Shawn W. 6 Barchiesi, Marco 6 Barroso, Ana Cristina 6 Blanc, Xavier 6 Fusco, Nicola 6 Lussardi, Luca 6 Mihăilescu, Mihai 6 Morandotti, Marco 6 Negri, Matteo 6 Nochetto, Ricardo Horacio 6 Oudet, Edouard 6 Rondi, Luca 6 Slepčev, Dejan 6 Süli, Endre E. 6 Theil, Florian 5 Amar, Micol 5 Arrieta, José M. 5 Bertini, Lorenzo Bertini ...and 1,347 more Authors all top 5 Cited in 225 Serials 117 Archive for Rational Mechanics and Analysis 85 Calculus of Variations and Partial Differential Equations 56 SIAM Journal on Mathematical Analysis 52 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 47 Computer Methods in Applied Mechanics and Engineering 40 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 36 Journal of the Mechanics and Physics of Solids 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Journal of Elasticity 25 Journal de Mathématiques Pures et Appliquées. Neuvième Série 23 Journal of Mathematical Analysis and Applications 22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Journal of Differential Equations 17 Applied Mathematics and Optimization 17 Journal of Nonlinear Science 16 Computational Mechanics 16 Continuum Mechanics and Thermodynamics 15 Journal of Mathematical Imaging and Vision 14 Mathematics and Mechanics of Solids 14 Networks and Heterogeneous Media 14 Advances in Calculus of Variations 13 Journal of Computational Physics 13 Proceedings of the Royal Society of Edinburgh. Section A. 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Nonlinear Differential Equations and Applications 7 Revista Matemática Complutense 7 SIAM Journal on Imaging Sciences 7 Journal de l’École Polytechnique – Mathématiques 6 International Journal of Engineering Science 6 International Journal for Numerical Methods in Engineering 6 Quarterly of Applied Mathematics 6 The Journal of Geometric Analysis 6 Discrete and Continuous Dynamical Systems 5 Ricerche di Matematica 5 SIAM Journal on Control and Optimization 5 Transactions of the American Mathematical Society 5 Communications in Partial Differential Equations 5 Nonlinear Analysis. Real World Applications 5 Oberwolfach Reports 5 Mathematics in Engineering 4 Journal of Mathematical Physics 4 Indiana University Mathematics Journal 4 Journal of Optimization Theory and Applications 4 Meccanica 4 Chinese Annals of Mathematics. Series B 4 Applications of Mathematics 4 Journal of Mathematical Sciences (New York) 4 Journal of Convex Analysis 4 ZAMM. 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Serie IV 3 Duke Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Numerische Mathematik 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Applicandae Mathematicae 3 Journal of Scientific Computing 3 European Journal of Applied Mathematics 3 Stochastic Processes and their Applications 3 Applied and Computational Harmonic Analysis 3 Electronic Journal of Probability 3 Mathematical Problems in Engineering 3 Journal of the European Mathematical Society (JEMS) 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Journal of Evolution Equations 3 Discrete and Continuous Dynamical Systems. Series B 3 Advanced Nonlinear Studies 3 Milan Journal of Mathematics 3 International Journal of Fracture 2 Acta Mechanica 2 Computers & Mathematics with Applications ...and 125 more Serials all top 5 Cited in 48 Fields 624 Calculus of variations and optimal control; optimization (49-XX) 619 Mechanics of deformable solids (74-XX) 559 Partial differential equations (35-XX) 168 Statistical mechanics, structure of matter (82-XX) 126 Numerical analysis (65-XX) 74 Fluid mechanics (76-XX) 71 Probability theory and stochastic processes (60-XX) 56 Computer science (68-XX) 48 Information and communication theory, circuits (94-XX) 46 Operator theory (47-XX) 45 Functional analysis (46-XX) 41 Differential geometry (53-XX) 39 Real functions (26-XX) 35 Optics, electromagnetic theory (78-XX) 34 Measure and integration (28-XX) 27 Ordinary differential equations (34-XX) 26 Global analysis, analysis on manifolds (58-XX) 26 Operations research, mathematical programming (90-XX) 24 Statistics (62-XX) 21 Quantum theory (81-XX) 20 Mechanics of particles and systems (70-XX) 19 Biology and other natural sciences (92-XX) 17 Dynamical systems and ergodic theory (37-XX) 14 Classical thermodynamics, heat transfer (80-XX) 14 Systems theory; control (93-XX) 12 Integral equations (45-XX) 11 Convex and discrete geometry (52-XX) 10 Combinatorics (05-XX) 10 Potential theory (31-XX) 9 Difference and functional equations (39-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General and overarching topics; collections (00-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Manifolds and cell complexes (57-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Geometry (51-XX) 4 General topology (54-XX) 4 Geophysics (86-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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