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## Braides, Andrea

Compute Distance To:
 Author ID: braides.andrea Published as: Braides, A.; Braides, Andrea; Braides, Andréa External Links: MGP · Wikidata · ORCID · GND
 Documents Indexed: 140 Publications since 1983, including 6 Books
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#### Co-Authors

 21 single-authored 16 Chiadò Piat, Valeria 15 Solci, Margherita 9 Cicalese, Marco 8 Ansini, Nadia 8 Gelli, Maria Stella 7 Defranceschi, Anneliese 7 Garroni, Adriana 6 Piatnitski, Andrey L. 6 Vitali, Enrico 5 Alicandro, Roberto 4 Ambrosio, Luigi 4 Causin, Andrea 3 Coscia, Alessandra 3 Fonseca, Irene 3 Kreutz, Leonard C. 3 Riey, Giuseppe 3 Sigalotti, Laura 3 Zeppieri, Caterina Ida 2 Amar, Micol 2 Bach, Annika 2 Briane, Marc 2 Buttazzo, Giuseppe 2 Dal Maso, Gianni 2 De Cicco, Virginia 2 Francfort, Gilles A. 2 Malusa, Annalisa 2 Novaga, Matteo 2 Scilla, Giovanni 1 Acerbi, Emilio 1 Bellettini, Giovanni 1 Bhattacharya, Kaushik 1 Bouchitté, Guy 1 Cancedda, Andrea 1 Casado-Díaz, Juan 1 Cassano, Biagio 1 Cermelli, Paolo 1 Chambolle, Antonin 1 Colombo, Maria 1 Conti, Sergio 1 D’Ancona, Piero 1 D’Elia, Lorenza 1 Dovetta, Simone 1 Fragalà, Ilaria 1 Gloria, Antoine 1 Gobbino, Massimo 1 Larsen, Christopher J. 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 Stefanelli, Ulisse 1 Theil, Florian 1 Tribuzio, Antonio 1 Truskinovsky, Lev 1 Valente, Vanda 1 Vallocchia, Valerio 1 Yip, Nung Kwan 1 Zimmer, Johannes
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#### Serials

 7 Archive for Rational Mechanics and Analysis 6 SIAM Journal on Mathematical Analysis 6 Calculus of Variations and Partial Differential Equations 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Interfaces and Free Boundaries 4 Journal of Statistical Physics 4 Asymptotic Analysis 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Networks and Heterogeneous Media 3 Applicable Analysis 3 Applied Mathematics and Optimization 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 Journal of Functional Analysis 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 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 Nonlinearity 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 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 Journal of Nonlinear Science 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 Lecture Notes of the Unione Matematica Italiana 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Discrete and Continuous Dynamical Systems. Series S 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
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#### Fields

 99 Calculus of variations and optimal control; optimization (49-XX) 60 Mechanics of deformable solids (74-XX) 42 Partial differential equations (35-XX) 23 Statistical mechanics, structure of matter (82-XX) 5 Differential geometry (53-XX) 5 General topology (54-XX) 4 Computer science (68-XX) 3 Real functions (26-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-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) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

126 Publications have been cited 1,912 times in 1,018 Documents Cited by Year
$$\Gamma$$-convergence for beginners. Zbl 1198.49001
Braides, Andrea
2002
Homogenization of multiple integrals. Zbl 0911.49010
Braides, Andrea; Defranceschi, Anneliese
1998
Approximation of free-discontinuity problems. Zbl 0909.49001
Braides, Andrea
1998
Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization. Zbl 0676.49029
Ambrosio, Luigi; Braides, Andrea
1990
Homogenization of some almost periodic coercive functional. Zbl 0582.49014
Braides, Andrea
1985
Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case. Zbl 0945.74006
Braides, Andrea; Dal Maso, Gianni; Garroni, Adriana
1999
Asymptotic expansions by $$\Gamma$$-convergence. Zbl 1160.74363
Braides, Andrea; Truskinovsky, Lev
2008
3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020
Braides, A.; Fonseca, I.; Francfort, G.
2000
A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni
2000
Local minimization, variational evolution and $$\Gamma$$-convergence. Zbl 1316.49002
Braides, Andrea
2014
A handbook of $$\Gamma$$-convergence. Zbl 1195.35002
Braides, Andrea
2006
Homogenization of free discontinuity problems. Zbl 0924.35015
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
1996
Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence. Zbl 0676.49028
Ambrosio, Luigi; Braides, Andrea
1990
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
2006
Non-local approximation of the Mumford-Shah functional. Zbl 0873.49009
Braides, Andrea; Dal Maso, G.
1997
Limits of discrete systems with long-range interactions. Zbl 1031.49022
Braides, Andrea; Gelli, Maria Stella
2002
Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004
Braides, Andrea; Gelli, Maria Stella
2002
Effective cohesive behavior of layers of interatomic planes. Zbl 1093.74013
Braides, Andrea; Lew, Adrian J.; Ortiz, Michael
2006
Energies in SBV and variational models in fracture mechanics. Zbl 0904.73045
Ambrosio, L.; Braides, A.
1995
Homogenization of oscillating boundaries and applications to thin films. Zbl 0983.49008
Ansini, Nadia; Braides, Andrea
2001
Surface energies in nonconvex discrete systems. Zbl 1205.82036
Braides, Andrea; Cicalese, Marco
2007
Integral representation results for functionals defined on $$\text{SBV}(\Omega;\mathbb{R}^ m)$$. Zbl 0880.49010
Braides, Andréa; Chiadò Piat, Valeria
1996
Relaxation results for some free discontinuity problems. Zbl 0817.49015
Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe
1995
Homogenization of surface and length energies for spin systems. Zbl 1270.35057
Braides, Andrea; Piatnitski, Andrey
2013
A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017
Braides, Andrea; Solci, Margherita; Vitali, Enrico
2007
A relaxation result for energies defined on pairs set-function and applications. Zbl 1149.49017
Braides, Andrea; Chambolle, Antonin; Solci, Margherita
2007
Asymptotic analysis of periodically-perforated nonlinear media. Zbl 1036.35021
Ansini, Nadia; Braides, Andrea
2005
Interfaces, modulated phases and textures in lattice systems. Zbl 1359.82006
Braides, Andrea; Cicalese, Marco
2017
The passage from discrete to continuous variational problems: a nonlinear homogenization process. Zbl 1320.74090
Braides, A.; Gelli, M. S.
2005
Density of polyhedral partitions. Zbl 1366.49051
Braides, Andrea; Conti, Sergio; Garroni, Adriana
2017
Motion and pinning of discrete interfaces. Zbl 1186.82054
Braides, Andrea; Gelli, Maria Stella; Novaga, Matteo
2010
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
1999
Continuum limits of discrete thin films with superlinear growth densities. Zbl 1148.49010
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
2008
Brittle thin films. Zbl 0999.49012
Braides, A.; Fonseca, I.
2001
Non-local variational limits of discrete systems. Zbl 0957.49011
Braides, Andrea
2000
A variational approach to double-porosity problems. Zbl 1113.35014
Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey
2004
Homogenization of periodic nonlinear media with stiff and soft inclusions. Zbl 0836.73003
Braides, Andrea; Garroni, Adriana
1995
$$Q$$-tensor continuum energies as limits of head-to-tail symmetric spin systems. Zbl 1321.49024
Braides, Andrea; Cicalese, Marco; Solombrino, Francesco
2015
Homogenization by blow-up. Zbl 1171.35315
Braides, Andrea; Maslennikov, Mikhail; Sigalotti, Laura
2008
From discrete systems to continuous variational problems: an introduction. Zbl 1131.49008
Braides, Andrea; Gelli, Maria Stella
2006
Approximation by $$\Gamma$$-convergence of a curvature-depending functional in visual reconstruction. Zbl 1098.49012
Braides, Andrea; March, Riccardo
2006
Reiterated homogenization of integral functionals. Zbl 1010.49011
Braides, Andrea; Lukkassen, Dag
2000
A relaxation approach to Hencky’s plasticity. Zbl 0860.49014
Braides, Andrea; Defranceschi, A.; Vitali, E.
1997
A homogenization theorem for weakly almost periodic functionals. Zbl 0611.49007
Braides, Andrea
1986
Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: a one-dimensional prototypical case. Zbl 1370.74013
Braides, Andrea; Solci, Margherita
2016
Motion of discrete interfaces in periodic media. Zbl 1286.35026
Braides, Andrea; Scilla, Giovanni
2013
Interfacial energies on Penrose lattices. Zbl 1317.74076
Braides, Andrea; Solci, Margherita
2011
Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. Zbl 1221.35048
Braides, Andrea; Briane, Marc; Casado-Díaz, Juan
2009
A note on equi-integrability in dimension reduction problems. Zbl 1109.74034
Braides, Andrea; Zeppieri, Caterina Ida
2007
Bounds on the effective behaviour of a square conducting lattice. Zbl 1070.74040
Braides, Andrea; Francfort, Gilles A.
2004
Free-discontinuity problems generated by singular perturbation. Zbl 0920.49007
Alicandro, Roberto; Braides, Andrea; Gelli, Maria Stella
1998
On the nonlocal approximation of free-discontinuity problems. Zbl 0907.49009
Braides, Andrea; Garroni, Adriana
1998
The interaction between bulk energy and surface energy in multiple integrals. Zbl 0810.49015
Braides, Andrea; Coscia, Alessandra
1994
Variational problems with percolation: dilute spin systems at zero temperature. Zbl 1260.82043
Braides, Andrea; Piatnitski, Andrey
2012
Overall properties of a discrete membrane with randomly distributed defects. Zbl 1147.74039
Braides, Andrea; Piatnitski, Andrey
2008
Gradient theory of phase transitions in composite media. Zbl 1031.49021
Ansini, Nadia; Braides, Andrea; Chiadò Piat, Valeria
2003
Riemannian approximation of Finsler metrics. Zbl 1032.49020
Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria
2002
Almost periodic methods in the theory of homogenization. Zbl 0724.49020
Braides, Andrea
1992
Homogenization of almost periodic monotone operators. Zbl 0785.35007
Braides, Andrea; Chiadò Piat, Valeria; Defranceschi, Anneliese
1992
Homogenization of non-coercive integrals. Zbl 0547.49007
Braides, Andrea
1983
Continuum limit and stochastic homogenization of discrete ferromagnetic thin films. Zbl 1379.49045
Braides, Andrea; Cicalese, Marco; Ruf, Matthias
2018
Motion of discrete interfaces through mushy layers. Zbl 1346.53006
Braides, Andrea; Solci, Margherita
2016
Minimizing movements along a sequence of functionals and curves of maximal slope. Zbl 1342.49013
Braides, Andrea; Colombo, Maria; Gobbino, Massimo; Solci, Margherita
2016
Homogenization of discrete high-contrast energies. Zbl 1321.49023
Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey
2015
Discrete-to-continuum variational methods for lattice systems. Zbl 1373.49012
Braides, Andrea
2014
An example of non-existence of plane-like minimizers for an almost-periodic Ising system. Zbl 1302.82015
Braides, Andrea
2014
Multi-scale free-discontinuity problems with soft inclusions. Zbl 1272.49024
Braides, Andrea; Solci, Margherita
2013
A compactness result for a second-order variational discrete model. Zbl 1272.49095
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
2012
Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy. Zbl 1160.49010
Braides, Andrea; Zeppieri, Caterina Ida
2009
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.
2002
Loss of polyconvexity by homogenization. Zbl 0811.73005
Braides, Andrea
1994
A singular perturbation approach to variational problems in fracture mechanics. Zbl 0777.73048
Braides, Andrea; Coscia, Alessandra
1993
Discrete double-porosity models for spin systems. Zbl 1371.49020
Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita
2016
Crystalline motion of interfaces between patterns. Zbl 1355.82020
Braides, Andrea; Cicalese, Marco; Yip, Nung Kwan
2016
Homogenization of Penrose tilings. Zbl 1167.49012
Braides, Andrea; Riey, Giuseppe; Solci, Margherita
2009
A variational model in image processing with focal points. Zbl 1213.94012
Braides, Andrea; Riey, Giuseppe
2008
Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016
Bellettini, G.; Braides, A.; Riey, G.
2005
Curvature theory of boundary phases: The two-dimensional case. Zbl 1029.49039
Braides, Andrea; Malchiodi, Andrea
2002
Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media. Zbl 0988.35020
Ansini, Nadia; Braides, Andrea
2001
Special functions with bounded variation and with weakly differentiable traces on the jump set. Zbl 0909.49003
Ambrosio, Luigi; Braides, Andrea; Garroni, Adriana
1998
Remarks on the homogenization of connected media. Zbl 0802.35006
Braides, Andrea; Chiadò Piat, Valeria
1994
Interfacial energies of systems of chiral molecules. Zbl 1354.49021
Braides, Andrea; Garroni, Adriana; Palombaro, Mariapia
2016
Nucleation and backward motion of discrete interfaces. Zbl 1278.49052
Braides, Andrea; Scilla, Giovanni
2013
$$\Gamma$$-convergence for stable states and local minimizers. Zbl 1233.49009
Braides, Andrea; Larsen, Christopher J.
2011
Non convex homogenization problems for singular structures. Zbl 1156.74361
Braides, Andrea; Piat, Valeria Chiadò
2008
Relaxation of elastic energies with free discontinuities and constraint on the strain. Zbl 1170.49306
Defranceschi, Anneliese; Braides, Andrea; Vitali, Enrico
2002
Thin films with many small cracks. Zbl 1011.74042
Bhattacharya, Kaushik; Braides, Andrea
2002
Relaxation of functionals with constraints on the divergence. Zbl 0662.49004
Braides, Andrea
1987
Quantitative analysis of finite-difference approximations of free-discontinuity problems. Zbl 1457.65039
Bach, Annika; Braides, Andrea; Zeppieri, Caterina Ida
2020
Crystalline evolutions with rapidly oscillating forcing terms. Zbl 1447.53084
Braides, Andrea; Malusa, Annalisa; Novaga, Matteo
2020
Minimizing movements for oscillating energies: the critical regime. Zbl 1418.35023
Ansini, Nadia; Braides, Andrea; Zimmer, Johannes
2019
Homogenization of networks in domains with oscillating boundaries. Zbl 1412.49033
Braides, Andrea; Chiadò Piat, Valeria
2019
Design of lattice surface energies. Zbl 1397.35014
Braides, Andrea; Kreutz, Leonard
2018
Asymptotic analysis of a ferromagnetic Ising system with “diffuse” interfacial energy. Zbl 1388.49010
Braides, Andrea; Causin, Andrea; Solci, Margherita
2018
An integral-representation result for continuum limits of discrete energies with multibody interactions. Zbl 1386.49017
Braides, Andrea; Kreutz, Leonard
2018
Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. Zbl 1373.35029
Braides, Andrea; Kreutz, Leonard
2017
Variational evolution of one-dimensional Lennard-Jones systems. Zbl 1321.35229
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
2014
Interfacial energies on quasicrystals. Zbl 1257.82018
Braides, Andrea; Causin, Andrea; Solci, Margherita
2012
Models of defects in atomistic systems. Zbl 1216.49012
Braides, Andrea; Sigalotti, Laura
2011
Homogenization of non-linear variational problems with thin low-conducting layers. Zbl 1112.35015
Braides, Andrea; Briane, Marc
2007
Quantitative analysis of finite-difference approximations of free-discontinuity problems. Zbl 1457.65039
Bach, Annika; Braides, Andrea; Zeppieri, Caterina Ida
2020
Crystalline evolutions with rapidly oscillating forcing terms. Zbl 1447.53084
Braides, Andrea; Malusa, Annalisa; Novaga, Matteo
2020
Discrete-to-continuum limits of multibody systems with bulk and surface long-range interactions. Zbl 1446.49009
Bach, Annika; Braides, Andrea; Cicalese, Marco
2020
$$\Gamma$$-limit of the cut functional on dense graph sequences. Zbl 1439.05068
Braides, Andrea; Cermelli, Paolo; Dovetta, Simone
2020
Minimizing movements for oscillating energies: the critical regime. Zbl 1418.35023
Ansini, Nadia; Braides, Andrea; Zimmer, Johannes
2019
Homogenization of networks in domains with oscillating boundaries. Zbl 1412.49033
Braides, Andrea; Chiadò Piat, Valeria
2019
Continuum limit and stochastic homogenization of discrete ferromagnetic thin films. Zbl 1379.49045
Braides, Andrea; Cicalese, Marco; Ruf, Matthias
2018
Design of lattice surface energies. Zbl 1397.35014
Braides, Andrea; Kreutz, Leonard
2018
Asymptotic analysis of a ferromagnetic Ising system with “diffuse” interfacial energy. Zbl 1388.49010
Braides, Andrea; Causin, Andrea; Solci, Margherita
2018
An integral-representation result for continuum limits of discrete energies with multibody interactions. Zbl 1386.49017
Braides, Andrea; Kreutz, Leonard
2018
A homogenization result for interacting elastic and brittle media. Zbl 1407.74072
Braides, Andrea; Causin, Andrea; Solci, Margherita
2018
Interfaces, modulated phases and textures in lattice systems. Zbl 1359.82006
Braides, Andrea; Cicalese, Marco
2017
Density of polyhedral partitions. Zbl 1366.49051
Braides, Andrea; Conti, Sergio; Garroni, Adriana
2017
Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. Zbl 1373.35029
Braides, Andrea; Kreutz, Leonard
2017
Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems. Zbl 1381.49011
Braides, Andrea; Gelli, Maria Stella
2017
Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: a one-dimensional prototypical case. Zbl 1370.74013
Braides, Andrea; Solci, Margherita
2016
Motion of discrete interfaces through mushy layers. Zbl 1346.53006
Braides, Andrea; Solci, Margherita
2016
Minimizing movements along a sequence of functionals and curves of maximal slope. Zbl 1342.49013
Braides, Andrea; Colombo, Maria; Gobbino, Massimo; Solci, Margherita
2016
Discrete double-porosity models for spin systems. Zbl 1371.49020
Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita
2016
Crystalline motion of interfaces between patterns. Zbl 1355.82020
Braides, Andrea; Cicalese, Marco; Yip, Nung Kwan
2016
Interfacial energies of systems of chiral molecules. Zbl 1354.49021
Braides, Andrea; Garroni, Adriana; Palombaro, Mariapia
2016
Quasi-static damage evolution and homogenization: a case study of non-commutability. Zbl 1338.35027
Braides, Andrea; Cassano, Biagio; Garroni, Adriana; Sarrocco, David
2016
$$Q$$-tensor continuum energies as limits of head-to-tail symmetric spin systems. Zbl 1321.49024
Braides, Andrea; Cicalese, Marco; Solombrino, Francesco
2015
Homogenization of discrete high-contrast energies. Zbl 1321.49023
Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey
2015
Local minimization, variational evolution and $$\Gamma$$-convergence. Zbl 1316.49002
Braides, Andrea
2014
Discrete-to-continuum variational methods for lattice systems. Zbl 1373.49012
Braides, Andrea
2014
An example of non-existence of plane-like minimizers for an almost-periodic Ising system. Zbl 1302.82015
Braides, Andrea
2014
Variational evolution of one-dimensional Lennard-Jones systems. Zbl 1321.35229
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
2014
Homogenization of surface and length energies for spin systems. Zbl 1270.35057
Braides, Andrea; Piatnitski, Andrey
2013
Motion of discrete interfaces in periodic media. Zbl 1286.35026
Braides, Andrea; Scilla, Giovanni
2013
Multi-scale free-discontinuity problems with soft inclusions. Zbl 1272.49024
Braides, Andrea; Solci, Margherita
2013
Nucleation and backward motion of discrete interfaces. Zbl 1278.49052
Braides, Andrea; Scilla, Giovanni
2013
Variational problems with percolation: dilute spin systems at zero temperature. Zbl 1260.82043
Braides, Andrea; Piatnitski, Andrey
2012
A compactness result for a second-order variational discrete model. Zbl 1272.49095
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
2012
Interfacial energies on quasicrystals. Zbl 1257.82018
Braides, Andrea; Causin, Andrea; Solci, Margherita
2012
Interfacial energies on Penrose lattices. Zbl 1317.74076
Braides, Andrea; Solci, Margherita
2011
$$\Gamma$$-convergence for stable states and local minimizers. Zbl 1233.49009
Braides, Andrea; Larsen, Christopher J.
2011
Models of defects in atomistic systems. Zbl 1216.49012
Braides, Andrea; Sigalotti, Laura
2011
Motion and pinning of discrete interfaces. Zbl 1186.82054
Braides, Andrea; Gelli, Maria Stella; Novaga, Matteo
2010
Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. Zbl 1221.35048
Braides, Andrea; Briane, Marc; Casado-Díaz, Juan
2009
Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy. Zbl 1160.49010
Braides, Andrea; Zeppieri, Caterina Ida
2009
Homogenization of Penrose tilings. Zbl 1167.49012
Braides, Andrea; Riey, Giuseppe; Solci, Margherita
2009
Asymptotic expansions by $$\Gamma$$-convergence. Zbl 1160.74363
Braides, Andrea; Truskinovsky, Lev
2008
Continuum limits of discrete thin films with superlinear growth densities. Zbl 1148.49010
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
2008
Homogenization by blow-up. Zbl 1171.35315
Braides, Andrea; Maslennikov, Mikhail; Sigalotti, Laura
2008
Overall properties of a discrete membrane with randomly distributed defects. Zbl 1147.74039
Braides, Andrea; Piatnitski, Andrey
2008
A variational model in image processing with focal points. Zbl 1213.94012
Braides, Andrea; Riey, Giuseppe
2008
Non convex homogenization problems for singular structures. Zbl 1156.74361
Braides, Andrea; Piat, Valeria Chiadò
2008
Exact bounds on the effective behavior of a conducting discrete polycrystal. Zbl 1151.74032
Braides, Andrea; Gloria, Antoine
2008
Asymptotic analysis of periodically-perforated nonlinear media at and close to the critical exponent. Zbl 1139.35312
Braides, Andrea; Sigalotti, Laura
2008
Surface energies in nonconvex discrete systems. Zbl 1205.82036
Braides, Andrea; Cicalese, Marco
2007
A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017
Braides, Andrea; Solci, Margherita; Vitali, Enrico
2007
A relaxation result for energies defined on pairs set-function and applications. Zbl 1149.49017
Braides, Andrea; Chambolle, Antonin; Solci, Margherita
2007
A note on equi-integrability in dimension reduction problems. Zbl 1109.74034
Braides, Andrea; Zeppieri, Caterina Ida
2007
Homogenization of non-linear variational problems with thin low-conducting layers. Zbl 1112.35015
Braides, Andrea; Briane, Marc
2007
A handbook of $$\Gamma$$-convergence. Zbl 1195.35002
Braides, Andrea
2006
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
2006
Effective cohesive behavior of layers of interatomic planes. Zbl 1093.74013
Braides, Andrea; Lew, Adrian J.; Ortiz, Michael
2006
From discrete systems to continuous variational problems: an introduction. Zbl 1131.49008
Braides, Andrea; Gelli, Maria Stella
2006
Approximation by $$\Gamma$$-convergence of a curvature-depending functional in visual reconstruction. Zbl 1098.49012
Braides, Andrea; March, Riccardo
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
2006
Topics on concentration phenomena and problems with multiple scales. Zbl 1098.49002
Braides, Andrea (ed.); Chiadò Piat, Valeria (ed.)
2006
Another brick in the wall. Zbl 1098.35014
Braides, Andrea; Piat, Valeria Chiadò
2006
Asymptotic analysis of periodically-perforated nonlinear media. Zbl 1036.35021
Ansini, Nadia; Braides, Andrea
2005
The passage from discrete to continuous variational problems: a nonlinear homogenization process. Zbl 1320.74090
Braides, A.; Gelli, M. S.
2005
Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016
Bellettini, G.; Braides, A.; Riey, G.
2005
$$L^{\infty}$$ energies on discontinuous functions. Zbl 1082.49016
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
2005
A variational approach to double-porosity problems. Zbl 1113.35014
Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey
2004
Bounds on the effective behaviour of a square conducting lattice. Zbl 1070.74040
Braides, Andrea; Francfort, Gilles A.
2004
Gradient theory of phase transitions in composite media. Zbl 1031.49021
Ansini, Nadia; Braides, Andrea; Chiadò Piat, Valeria
2003
Discrete approximation of functionals with jumps and creases. Zbl 1039.49029
Braides, Andrea
2003
$$\Gamma$$-convergence for beginners. Zbl 1198.49001
Braides, Andrea
2002
Limits of discrete systems with long-range interactions. Zbl 1031.49022
Braides, Andrea; Gelli, Maria Stella
2002
Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004
Braides, Andrea; Gelli, Maria Stella
2002
Riemannian approximation of Finsler metrics. Zbl 1032.49020
Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria
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.
2002
Curvature theory of boundary phases: The two-dimensional case. Zbl 1029.49039
Braides, Andrea; Malchiodi, Andrea
2002
Relaxation of elastic energies with free discontinuities and constraint on the strain. Zbl 1170.49306
Defranceschi, Anneliese; Braides, Andrea; Vitali, Enrico
2002
Thin films with many small cracks. Zbl 1011.74042
Bhattacharya, Kaushik; Braides, Andrea
2002
Interactions between homogenization and phase-transition processes. Zbl 1020.35007
Ansini, N.; Braides, A.; Chiadò Piat, V.
2002
Homogenization of oscillating boundaries and applications to thin films. Zbl 0983.49008
Ansini, Nadia; Braides, Andrea
2001
Brittle thin films. Zbl 0999.49012
Braides, A.; Fonseca, I.
2001
Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media. Zbl 0988.35020
Ansini, Nadia; Braides, Andrea
2001
3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020
Braides, A.; Fonseca, I.; Francfort, G.
2000
A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni
2000
Non-local variational limits of discrete systems. Zbl 0957.49011
Braides, Andrea
2000
Reiterated homogenization of integral functionals. Zbl 1010.49011
Braides, Andrea; Lukkassen, Dag
2000
Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case. Zbl 0945.74006
Braides, Andrea; Dal Maso, Gianni; Garroni, Adriana
1999
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
1999
Homogenization of periodic multi-dimensional structures. Zbl 0944.49015
Ansini, Nadia; Braides, Andrea; Chiadò Piat, Valeria
1999
Approximation of free-discontinuity problems by elliptic functionals via $$\Gamma$$-convergence. Zbl 0952.49009
Acerbi, Emilio; Braides, Andrea
1999
Homogenization of multiple integrals. Zbl 0911.49010
Braides, Andrea; Defranceschi, Anneliese
1998
Approximation of free-discontinuity problems. Zbl 0909.49001
Braides, Andrea
1998
Free-discontinuity problems generated by singular perturbation. Zbl 0920.49007
Alicandro, Roberto; Braides, Andrea; Gelli, Maria Stella
1998
On the nonlocal approximation of free-discontinuity problems. Zbl 0907.49009
Braides, Andrea; Garroni, Adriana
1998
Special functions with bounded variation and with weakly differentiable traces on the jump set. Zbl 0909.49003
Ambrosio, Luigi; Braides, Andrea; Garroni, Adriana
1998
$$\Gamma$$-convergence of nonconvex functionals defined on measures. Zbl 0953.49023
Amar, M.; Braides, A.
1998
Non-local approximation of the Mumford-Shah functional. Zbl 0873.49009
Braides, Andrea; Dal Maso, G.
1997
A relaxation approach to Hencky’s plasticity. Zbl 0860.49014
Braides, Andrea; Defranceschi, A.; Vitali, E.
1997
Homogenization of free discontinuity problems. Zbl 0924.35015
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
1996
...and 26 more Documents
all top 5

#### Cited by 1,096 Authors

 61 Braides, Andrea 27 Conti, Sergio 25 Fonseca, Irene 19 Cicalese, Marco 17 Garroni, Adriana 16 Novaga, Matteo 15 Alicandro, Roberto 15 Dal Maso, Gianni 15 Leoni, Giovanni 14 Friedrich, Manuel 13 Chambolle, Antonin 13 Focardi, Matteo 13 Schmidt, Bernd 12 Babadjian, Jean-François 12 Solci, Margherita 12 Visintin, Augusto 11 Ortiz, Michael 11 Piatnitski, Andrey L. 11 Scardia, Lucia 11 Zappale, Elvira 11 Zeppieri, Caterina Ida 10 Chiadò Piat, Valeria 10 Gaudiello, Antonio 10 Pankratov, Leonid S. 10 Truskinovsky, Lev 10 Velčić, Igor 9 Ansini, Nadia 9 Francfort, Gilles A. 9 Ruf, Matthias 9 Solombrino, Francesco 8 Casado-Díaz, Juan 8 Gelli, Maria Stella 8 Marigo, Jean-Jacques 8 Mora-Corral, Carlos 8 Morini, Massimiliano 8 Ponte Castañeda, Pedro 8 Serrano, Hélia 7 Amaziane, Brahim 7 Bellettini, Giovanni 7 Crismale, Vito 7 Gloria, Antoine 7 Kružík, Martin 7 Lazzaroni, Giuliano 7 Le Bris, Claude 7 Mandallena, Jean-Philippe 7 Miehe, Christian 7 Millot, Vincent 7 Müller, Stefan 7 Neukamm, Stefan 7 Ponsiglione, Marcello 7 Scilla, Giovanni 7 Serfaty, Sylvia 7 Stefanelli, Ulisse 6 Anza Hafsa, Omar 6 Barchiesi, Marco 6 Bellido, José Carlos 6 Blanc, Xavier 6 Bourdin, Blaise 6 Briane, Marc 6 Fusco, Nicola 6 Goldman, Michael 6 Kreisbeck, Carolin 6 Lussardi, Luca 6 Cardoso Matias, José Carlos Pedro 6 Mielke, Alexander 6 Muratov, Cyrill B. 6 Paroni, Roberto 6 Pedregal, Pablo 6 Peletier, Mark Adriaan 6 Sili, Ali 5 Arrieta, José M. 5 Bach, Annika 5 Defranceschi, Anneliese 5 DeSimone, Antonio 5 Esedoglu, Selim 5 Giacomini, Alessandro 5 Lions, Pierre-Louis 5 March, Riccardo 5 Michaille, Gérard 5 Mihăilescu, Mihai 5 Murat, François 5 Negri, Matteo 5 Nochetto, Ricardo Horacio 5 Oudet, Edouard 5 Palombaro, Mariapia 5 Pastukhova, Svetlana Evgenievna 5 Riey, Giuseppe 5 Rondi, Luca 5 Santambrogio, Filippo 5 Santos, Pedro Miguel 5 Schönlieb, Carola-Bibiane 5 Sharma, Basant Lal 5 Süli, Endre E. 5 Tomarelli, Franco 5 Vitali, Enrico 5 Wick, Thomas 5 Zhikov, Vasiliĭ Vasil’evich 5 Zimmer, Johannes 4 Amar, Micol 4 Barroso, Ana Cristina ...and 996 more Authors
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#### Cited in 194 Serials

 98 Archive for Rational Mechanics and Analysis 62 Calculus of Variations and Partial Differential Equations 43 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 38 SIAM Journal on Mathematical Analysis 34 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 29 Journal of the Mechanics and Physics of Solids 28 Computer Methods in Applied Mechanics and Engineering 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Journal of Elasticity 22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 Journal of Mathematical Analysis and Applications 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Journal of Differential Equations 14 Mathematics and Mechanics of Solids 13 Continuum Mechanics and Thermodynamics 12 Journal of Statistical Physics 12 Journal of Mathematical Imaging and Vision 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Communications in Mathematical Physics 10 Communications on Pure and Applied Mathematics 10 Journal of Nonlinear Science 10 Networks and Heterogeneous Media 9 Applicable Analysis 9 Journal of Computational Physics 9 Mathematical Methods in the Applied Sciences 9 Applied Mathematics and Optimization 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Computational Mechanics 8 Discrete and Continuous Dynamical Systems. Series S 8 Advances in Calculus of Variations 7 Interfaces and Free Boundaries 7 Communications in Contemporary Mathematics 6 International Journal for Numerical Methods in Engineering 6 Journal of Functional Analysis 6 Physica D 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 SIAM Journal on Applied Mathematics 6 NoDEA. Nonlinear Differential Equations and Applications 6 Discrete and Continuous Dynamical Systems 5 Quarterly of Applied Mathematics 5 SIAM Journal on Numerical Analysis 5 Communications in Partial Differential Equations 5 Revista Matemática Complutense 5 European Journal of Mechanics. A. Solids 5 SIAM Journal on Imaging Sciences 5 Nonlinear Analysis. Theory, Methods & Applications 4 International Journal of Engineering Science 4 Journal of Mathematical Physics 4 Ricerche di Matematica 4 Transactions of the American Mathematical Society 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 The Journal of Geometric Analysis 4 Applications of Mathematics 4 Journal of Mathematical Sciences (New York) 4 Nonlinear Analysis. Real World Applications 4 Analysis and Applications (Singapore) 4 Inverse Problems and Imaging 3 Journal d’Analyse Mathématique 3 Nonlinearity 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Journal of Computational and Applied Mathematics 3 Journal of Optimization Theory and Applications 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Meccanica 3 Numerische Mathematik 3 SIAM Journal on Control and Optimization 3 Zeitschrift für Analysis und ihre Anwendungen 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Asymptotic Analysis 3 Applied and Computational Harmonic Analysis 3 Journal of Convex Analysis 3 Mathematical Problems in Engineering 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Advanced Nonlinear Studies 3 International Journal of Fracture 3 Journal de l’École Polytechnique – Mathématiques 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Bollettino dell’Unione Matematica Italiana 2 Mathematics of Computation 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Numerical Functional Analysis and Optimization 2 Rendiconti del Seminario Matematico della Università di Padova 2 Acta Mathematicae Applicatae Sinica. English Series 2 Constructive Approximation 2 The Annals of Applied Probability 2 Archive of Applied Mechanics 2 Annales Mathématiques Blaise Pascal 2 Positivity 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications on Pure and Applied Analysis 2 Milan Journal of Mathematics 2 Multiscale Modeling & Simulation ...and 94 more Serials
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#### Cited in 47 Fields

 472 Calculus of variations and optimal control; optimization (49-XX) 465 Mechanics of deformable solids (74-XX) 400 Partial differential equations (35-XX) 130 Statistical mechanics, structure of matter (82-XX) 73 Numerical analysis (65-XX) 44 Fluid mechanics (76-XX) 42 Probability theory and stochastic processes (60-XX) 41 Computer science (68-XX) 37 Information and communication theory, circuits (94-XX) 33 Functional analysis (46-XX) 29 Real functions (26-XX) 28 Operator theory (47-XX) 27 Measure and integration (28-XX) 25 Differential geometry (53-XX) 24 Optics, electromagnetic theory (78-XX) 18 Ordinary differential equations (34-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Quantum theory (81-XX) 16 Operations research, mathematical programming (90-XX) 14 Mechanics of particles and systems (70-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Statistics (62-XX) 12 Biology and other natural sciences (92-XX) 8 Combinatorics (05-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral equations (45-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Difference and functional equations (39-XX) 5 Convex and discrete geometry (52-XX) 4 Potential theory (31-XX) 4 General topology (54-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geometry (51-XX) 3 Geophysics (86-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-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 Manifolds and cell complexes (57-XX)

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