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Braides, Andrea

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Author ID: braides.andrea Recent zbMATH articles by "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
all top 5

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

Publications by Year

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
355
2002
Homogenization of multiple integrals. Zbl 0911.49010
Braides, Andrea; Defranceschi, Anneliese
169
1998
Approximation of free-discontinuity problems. Zbl 0909.49001
Braides, Andrea
127
1998
Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization. Zbl 0676.49029
Ambrosio, Luigi; Braides, Andrea
59
1990
Homogenization of some almost periodic coercive functional. Zbl 0582.49014
Braides, Andrea
53
1985
Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case. Zbl 0945.74006
Braides, Andrea; Dal Maso, Gianni; Garroni, Adriana
51
1999
Asymptotic expansions by \(\Gamma \)-convergence. Zbl 1160.74363
Braides, Andrea; Truskinovsky, Lev
47
2008
3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020
Braides, A.; Fonseca, I.; Francfort, G.
47
2000
A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni
42
2000
Local minimization, variational evolution and \(\Gamma\)-convergence. Zbl 1316.49002
Braides, Andrea
41
2014
A handbook of \(\Gamma\)-convergence. Zbl 1195.35002
Braides, Andrea
41
2006
Homogenization of free discontinuity problems. Zbl 0924.35015
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
40
1996
Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence. Zbl 0676.49028
Ambrosio, Luigi; Braides, Andrea
40
1990
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
31
2006
Non-local approximation of the Mumford-Shah functional. Zbl 0873.49009
Braides, Andrea; Dal Maso, G.
30
1997
Limits of discrete systems with long-range interactions. Zbl 1031.49022
Braides, Andrea; Gelli, Maria Stella
29
2002
Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004
Braides, Andrea; Gelli, Maria Stella
29
2002
Effective cohesive behavior of layers of interatomic planes. Zbl 1093.74013
Braides, Andrea; Lew, Adrian J.; Ortiz, Michael
28
2006
Energies in SBV and variational models in fracture mechanics. Zbl 0904.73045
Ambrosio, L.; Braides, A.
28
1995
Homogenization of oscillating boundaries and applications to thin films. Zbl 0983.49008
Ansini, Nadia; Braides, Andrea
23
2001
Surface energies in nonconvex discrete systems. Zbl 1205.82036
Braides, Andrea; Cicalese, Marco
22
2007
Integral representation results for functionals defined on \(\text{SBV}(\Omega;\mathbb{R}^ m)\). Zbl 0880.49010
Braides, Andréa; Chiadò Piat, Valeria
22
1996
Relaxation results for some free discontinuity problems. Zbl 0817.49015
Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe
21
1995
Homogenization of surface and length energies for spin systems. Zbl 1270.35057
Braides, Andrea; Piatnitski, Andrey
19
2013
A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017
Braides, Andrea; Solci, Margherita; Vitali, Enrico
18
2007
A relaxation result for energies defined on pairs set-function and applications. Zbl 1149.49017
Braides, Andrea; Chambolle, Antonin; Solci, Margherita
17
2007
Asymptotic analysis of periodically-perforated nonlinear media. Zbl 1036.35021
Ansini, Nadia; Braides, Andrea
17
2005
Interfaces, modulated phases and textures in lattice systems. Zbl 1359.82006
Braides, Andrea; Cicalese, Marco
16
2017
The passage from discrete to continuous variational problems: a nonlinear homogenization process. Zbl 1320.74090
Braides, A.; Gelli, M. S.
16
2005
Density of polyhedral partitions. Zbl 1366.49051
Braides, Andrea; Conti, Sergio; Garroni, Adriana
14
2017
Motion and pinning of discrete interfaces. Zbl 1186.82054
Braides, Andrea; Gelli, Maria Stella; Novaga, Matteo
12
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
12
1999
Continuum limits of discrete thin films with superlinear growth densities. Zbl 1148.49010
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
11
2008
Brittle thin films. Zbl 0999.49012
Braides, A.; Fonseca, I.
11
2001
Non-local variational limits of discrete systems. Zbl 0957.49011
Braides, Andrea
11
2000
A variational approach to double-porosity problems. Zbl 1113.35014
Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey
10
2004
Homogenization of periodic nonlinear media with stiff and soft inclusions. Zbl 0836.73003
Braides, Andrea; Garroni, Adriana
10
1995
\(Q\)-tensor continuum energies as limits of head-to-tail symmetric spin systems. Zbl 1321.49024
Braides, Andrea; Cicalese, Marco; Solombrino, Francesco
9
2015
Homogenization by blow-up. Zbl 1171.35315
Braides, Andrea; Maslennikov, Mikhail; Sigalotti, Laura
9
2008
From discrete systems to continuous variational problems: an introduction. Zbl 1131.49008
Braides, Andrea; Gelli, Maria Stella
9
2006
Approximation by \(\Gamma\)-convergence of a curvature-depending functional in visual reconstruction. Zbl 1098.49012
Braides, Andrea; March, Riccardo
9
2006
Reiterated homogenization of integral functionals. Zbl 1010.49011
Braides, Andrea; Lukkassen, Dag
8
2000
A relaxation approach to Hencky’s plasticity. Zbl 0860.49014
Braides, Andrea; Defranceschi, A.; Vitali, E.
8
1997
A homogenization theorem for weakly almost periodic functionals. Zbl 0611.49007
Braides, Andrea
8
1986
Asymptotic analysis of Lennard-Jones systems beyond the nearest-neighbour setting: a one-dimensional prototypical case. Zbl 1370.74013
Braides, Andrea; Solci, Margherita
7
2016
Motion of discrete interfaces in periodic media. Zbl 1286.35026
Braides, Andrea; Scilla, Giovanni
7
2013
Interfacial energies on Penrose lattices. Zbl 1317.74076
Braides, Andrea; Solci, Margherita
7
2011
Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. Zbl 1221.35048
Braides, Andrea; Briane, Marc; Casado-Díaz, Juan
7
2009
A note on equi-integrability in dimension reduction problems. Zbl 1109.74034
Braides, Andrea; Zeppieri, Caterina Ida
7
2007
Bounds on the effective behaviour of a square conducting lattice. Zbl 1070.74040
Braides, Andrea; Francfort, Gilles A.
7
2004
Free-discontinuity problems generated by singular perturbation. Zbl 0920.49007
Alicandro, Roberto; Braides, Andrea; Gelli, Maria Stella
7
1998
On the nonlocal approximation of free-discontinuity problems. Zbl 0907.49009
Braides, Andrea; Garroni, Adriana
7
1998
The interaction between bulk energy and surface energy in multiple integrals. Zbl 0810.49015
Braides, Andrea; Coscia, Alessandra
7
1994
Variational problems with percolation: dilute spin systems at zero temperature. Zbl 1260.82043
Braides, Andrea; Piatnitski, Andrey
6
2012
Overall properties of a discrete membrane with randomly distributed defects. Zbl 1147.74039
Braides, Andrea; Piatnitski, Andrey
6
2008
Gradient theory of phase transitions in composite media. Zbl 1031.49021
Ansini, Nadia; Braides, Andrea; Chiadò Piat, Valeria
6
2003
Riemannian approximation of Finsler metrics. Zbl 1032.49020
Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria
6
2002
Almost periodic methods in the theory of homogenization. Zbl 0724.49020
Braides, Andrea
6
1992
Homogenization of almost periodic monotone operators. Zbl 0785.35007
Braides, Andrea; Chiadò Piat, Valeria; Defranceschi, Anneliese
6
1992
Homogenization of non-coercive integrals. Zbl 0547.49007
Braides, Andrea
6
1983
Continuum limit and stochastic homogenization of discrete ferromagnetic thin films. Zbl 1379.49045
Braides, Andrea; Cicalese, Marco; Ruf, Matthias
5
2018
Motion of discrete interfaces through mushy layers. Zbl 1346.53006
Braides, Andrea; Solci, Margherita
5
2016
Minimizing movements along a sequence of functionals and curves of maximal slope. Zbl 1342.49013
Braides, Andrea; Colombo, Maria; Gobbino, Massimo; Solci, Margherita
5
2016
Homogenization of discrete high-contrast energies. Zbl 1321.49023
Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey
5
2015
Discrete-to-continuum variational methods for lattice systems. Zbl 1373.49012
Braides, Andrea
5
2014
An example of non-existence of plane-like minimizers for an almost-periodic Ising system. Zbl 1302.82015
Braides, Andrea
5
2014
Multi-scale free-discontinuity problems with soft inclusions. Zbl 1272.49024
Braides, Andrea; Solci, Margherita
5
2013
A compactness result for a second-order variational discrete model. Zbl 1272.49095
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
5
2012
Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy. Zbl 1160.49010
Braides, Andrea; Zeppieri, Caterina Ida
5
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.
5
2002
Loss of polyconvexity by homogenization. Zbl 0811.73005
Braides, Andrea
5
1994
A singular perturbation approach to variational problems in fracture mechanics. Zbl 0777.73048
Braides, Andrea; Coscia, Alessandra
5
1993
Discrete double-porosity models for spin systems. Zbl 1371.49020
Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita
4
2016
Crystalline motion of interfaces between patterns. Zbl 1355.82020
Braides, Andrea; Cicalese, Marco; Yip, Nung Kwan
4
2016
Homogenization of Penrose tilings. Zbl 1167.49012
Braides, Andrea; Riey, Giuseppe; Solci, Margherita
4
2009
A variational model in image processing with focal points. Zbl 1213.94012
Braides, Andrea; Riey, Giuseppe
4
2008
Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016
Bellettini, G.; Braides, A.; Riey, G.
4
2005
Curvature theory of boundary phases: The two-dimensional case. Zbl 1029.49039
Braides, Andrea; Malchiodi, Andrea
4
2002
Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media. Zbl 0988.35020
Ansini, Nadia; Braides, Andrea
4
2001
Special functions with bounded variation and with weakly differentiable traces on the jump set. Zbl 0909.49003
Ambrosio, Luigi; Braides, Andrea; Garroni, Adriana
4
1998
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
3
2016
Nucleation and backward motion of discrete interfaces. Zbl 1278.49052
Braides, Andrea; Scilla, Giovanni
3
2013
\(\Gamma \)-convergence for stable states and local minimizers. Zbl 1233.49009
Braides, Andrea; Larsen, Christopher J.
3
2011
Non convex homogenization problems for singular structures. Zbl 1156.74361
Braides, Andrea; Piat, Valeria Chiadò
3
2008
Relaxation of elastic energies with free discontinuities and constraint on the strain. Zbl 1170.49306
Defranceschi, Anneliese; Braides, Andrea; Vitali, Enrico
3
2002
Thin films with many small cracks. Zbl 1011.74042
Bhattacharya, Kaushik; Braides, Andrea
3
2002
Relaxation of functionals with constraints on the divergence. Zbl 0662.49004
Braides, Andrea
3
1987
Quantitative analysis of finite-difference approximations of free-discontinuity problems. Zbl 1457.65039
Bach, Annika; Braides, Andrea; Zeppieri, Caterina Ida
2
2020
Crystalline evolutions with rapidly oscillating forcing terms. Zbl 1447.53084
Braides, Andrea; Malusa, Annalisa; Novaga, Matteo
2
2020
Minimizing movements for oscillating energies: the critical regime. Zbl 1418.35023
Ansini, Nadia; Braides, Andrea; Zimmer, Johannes
2
2019
Homogenization of networks in domains with oscillating boundaries. Zbl 1412.49033
Braides, Andrea; Chiadò Piat, Valeria
2
2019
Design of lattice surface energies. Zbl 1397.35014
Braides, Andrea; Kreutz, Leonard
2
2018
Asymptotic analysis of a ferromagnetic Ising system with “diffuse” interfacial energy. Zbl 1388.49010
Braides, Andrea; Causin, Andrea; Solci, Margherita
2
2018
An integral-representation result for continuum limits of discrete energies with multibody interactions. Zbl 1386.49017
Braides, Andrea; Kreutz, Leonard
2
2018
Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. Zbl 1373.35029
Braides, Andrea; Kreutz, Leonard
2
2017
Variational evolution of one-dimensional Lennard-Jones systems. Zbl 1321.35229
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
2
2014
Interfacial energies on quasicrystals. Zbl 1257.82018
Braides, Andrea; Causin, Andrea; Solci, Margherita
2
2012
Models of defects in atomistic systems. Zbl 1216.49012
Braides, Andrea; Sigalotti, Laura
2
2011
Homogenization of non-linear variational problems with thin low-conducting layers. Zbl 1112.35015
Braides, Andrea; Briane, Marc
2
2007
Quantitative analysis of finite-difference approximations of free-discontinuity problems. Zbl 1457.65039
Bach, Annika; Braides, Andrea; Zeppieri, Caterina Ida
2
2020
Crystalline evolutions with rapidly oscillating forcing terms. Zbl 1447.53084
Braides, Andrea; Malusa, Annalisa; Novaga, Matteo
2
2020
Discrete-to-continuum limits of multibody systems with bulk and surface long-range interactions. Zbl 1446.49009
Bach, Annika; Braides, Andrea; Cicalese, Marco
1
2020
\(\Gamma\)-limit of the cut functional on dense graph sequences. Zbl 1439.05068
Braides, Andrea; Cermelli, Paolo; Dovetta, Simone
1
2020
Minimizing movements for oscillating energies: the critical regime. Zbl 1418.35023
Ansini, Nadia; Braides, Andrea; Zimmer, Johannes
2
2019
Homogenization of networks in domains with oscillating boundaries. Zbl 1412.49033
Braides, Andrea; Chiadò Piat, Valeria
2
2019
Continuum limit and stochastic homogenization of discrete ferromagnetic thin films. Zbl 1379.49045
Braides, Andrea; Cicalese, Marco; Ruf, Matthias
5
2018
Design of lattice surface energies. Zbl 1397.35014
Braides, Andrea; Kreutz, Leonard
2
2018
Asymptotic analysis of a ferromagnetic Ising system with “diffuse” interfacial energy. Zbl 1388.49010
Braides, Andrea; Causin, Andrea; Solci, Margherita
2
2018
An integral-representation result for continuum limits of discrete energies with multibody interactions. Zbl 1386.49017
Braides, Andrea; Kreutz, Leonard
2
2018
A homogenization result for interacting elastic and brittle media. Zbl 1407.74072
Braides, Andrea; Causin, Andrea; Solci, Margherita
1
2018
Interfaces, modulated phases and textures in lattice systems. Zbl 1359.82006
Braides, Andrea; Cicalese, Marco
16
2017
Density of polyhedral partitions. Zbl 1366.49051
Braides, Andrea; Conti, Sergio; Garroni, Adriana
14
2017
Optimal bounds for periodic mixtures of nearest-neighbour ferromagnetic interactions. Zbl 1373.35029
Braides, Andrea; Kreutz, Leonard
2
2017
Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems. Zbl 1381.49011
Braides, Andrea; Gelli, Maria Stella
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
7
2016
Motion of discrete interfaces through mushy layers. Zbl 1346.53006
Braides, Andrea; Solci, Margherita
5
2016
Minimizing movements along a sequence of functionals and curves of maximal slope. Zbl 1342.49013
Braides, Andrea; Colombo, Maria; Gobbino, Massimo; Solci, Margherita
5
2016
Discrete double-porosity models for spin systems. Zbl 1371.49020
Braides, Andrea; Piat, Valeria Chiadò; Solci, Margherita
4
2016
Crystalline motion of interfaces between patterns. Zbl 1355.82020
Braides, Andrea; Cicalese, Marco; Yip, Nung Kwan
4
2016
Interfacial energies of systems of chiral molecules. Zbl 1354.49021
Braides, Andrea; Garroni, Adriana; Palombaro, Mariapia
3
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
9
2015
Homogenization of discrete high-contrast energies. Zbl 1321.49023
Braides, Andrea; Chiadò Piat, Valeria; Piatnitski, Andrey
5
2015
Local minimization, variational evolution and \(\Gamma\)-convergence. Zbl 1316.49002
Braides, Andrea
41
2014
Discrete-to-continuum variational methods for lattice systems. Zbl 1373.49012
Braides, Andrea
5
2014
An example of non-existence of plane-like minimizers for an almost-periodic Ising system. Zbl 1302.82015
Braides, Andrea
5
2014
Variational evolution of one-dimensional Lennard-Jones systems. Zbl 1321.35229
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
2
2014
Homogenization of surface and length energies for spin systems. Zbl 1270.35057
Braides, Andrea; Piatnitski, Andrey
19
2013
Motion of discrete interfaces in periodic media. Zbl 1286.35026
Braides, Andrea; Scilla, Giovanni
7
2013
Multi-scale free-discontinuity problems with soft inclusions. Zbl 1272.49024
Braides, Andrea; Solci, Margherita
5
2013
Nucleation and backward motion of discrete interfaces. Zbl 1278.49052
Braides, Andrea; Scilla, Giovanni
3
2013
Variational problems with percolation: dilute spin systems at zero temperature. Zbl 1260.82043
Braides, Andrea; Piatnitski, Andrey
6
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 quasicrystals. Zbl 1257.82018
Braides, Andrea; Causin, Andrea; Solci, Margherita
2
2012
Interfacial energies on Penrose lattices. Zbl 1317.74076
Braides, Andrea; Solci, Margherita
7
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
12
2010
Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. Zbl 1221.35048
Braides, Andrea; Briane, Marc; Casado-Díaz, Juan
7
2009
Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy. Zbl 1160.49010
Braides, Andrea; Zeppieri, Caterina Ida
5
2009
Homogenization of Penrose tilings. Zbl 1167.49012
Braides, Andrea; Riey, Giuseppe; Solci, Margherita
4
2009
Asymptotic expansions by \(\Gamma \)-convergence. Zbl 1160.74363
Braides, Andrea; Truskinovsky, Lev
47
2008
Continuum limits of discrete thin films with superlinear growth densities. Zbl 1148.49010
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
11
2008
Homogenization by blow-up. Zbl 1171.35315
Braides, Andrea; Maslennikov, Mikhail; Sigalotti, Laura
9
2008
Overall properties of a discrete membrane with randomly distributed defects. Zbl 1147.74039
Braides, Andrea; Piatnitski, Andrey
6
2008
A variational model in image processing with focal points. Zbl 1213.94012
Braides, Andrea; Riey, Giuseppe
4
2008
Non convex homogenization problems for singular structures. Zbl 1156.74361
Braides, Andrea; Piat, Valeria Chiadò
3
2008
Exact bounds on the effective behavior of a conducting discrete polycrystal. Zbl 1151.74032
Braides, Andrea; Gloria, Antoine
1
2008
Asymptotic analysis of periodically-perforated nonlinear media at and close to the critical exponent. Zbl 1139.35312
Braides, Andrea; Sigalotti, Laura
1
2008
Surface energies in nonconvex discrete systems. Zbl 1205.82036
Braides, Andrea; Cicalese, Marco
22
2007
A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017
Braides, Andrea; Solci, Margherita; Vitali, Enrico
18
2007
A relaxation result for energies defined on pairs set-function and applications. Zbl 1149.49017
Braides, Andrea; Chambolle, Antonin; Solci, Margherita
17
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
41
2006
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
31
2006
Effective cohesive behavior of layers of interatomic planes. Zbl 1093.74013
Braides, Andrea; Lew, Adrian J.; Ortiz, Michael
28
2006
From discrete systems to continuous variational problems: an introduction. Zbl 1131.49008
Braides, Andrea; Gelli, Maria Stella
9
2006
Approximation by \(\Gamma\)-convergence of a curvature-depending functional in visual reconstruction. Zbl 1098.49012
Braides, Andrea; March, Riccardo
9
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
Topics on concentration phenomena and problems with multiple scales. Zbl 1098.49002
Braides, Andrea (ed.); Chiadò Piat, Valeria (ed.)
2
2006
Another brick in the wall. Zbl 1098.35014
Braides, Andrea; Piat, Valeria Chiadò
2
2006
Asymptotic analysis of periodically-perforated nonlinear media. Zbl 1036.35021
Ansini, Nadia; Braides, Andrea
17
2005
The passage from discrete to continuous variational problems: a nonlinear homogenization process. Zbl 1320.74090
Braides, A.; Gelli, M. S.
16
2005
Variational approximation of anisotropic functionals on partitions. Zbl 1223.49016
Bellettini, G.; Braides, A.; Riey, G.
4
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
10
2004
Bounds on the effective behaviour of a square conducting lattice. Zbl 1070.74040
Braides, Andrea; Francfort, Gilles A.
7
2004
Gradient theory of phase transitions in composite media. Zbl 1031.49021
Ansini, Nadia; Braides, Andrea; Chiadò Piat, Valeria
6
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
355
2002
Limits of discrete systems with long-range interactions. Zbl 1031.49022
Braides, Andrea; Gelli, Maria Stella
29
2002
Continuum limits of discrete systems without convexity hypotheses. Zbl 1024.74004
Braides, Andrea; Gelli, Maria Stella
29
2002
Riemannian approximation of Finsler metrics. Zbl 1032.49020
Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria
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.
5
2002
Curvature theory of boundary phases: The two-dimensional case. Zbl 1029.49039
Braides, Andrea; Malchiodi, Andrea
4
2002
Relaxation of elastic energies with free discontinuities and constraint on the strain. Zbl 1170.49306
Defranceschi, Anneliese; Braides, Andrea; Vitali, Enrico
3
2002
Thin films with many small cracks. Zbl 1011.74042
Bhattacharya, Kaushik; Braides, Andrea
3
2002
Interactions between homogenization and phase-transition processes. Zbl 1020.35007
Ansini, N.; Braides, A.; Chiadò Piat, V.
2
2002
Homogenization of oscillating boundaries and applications to thin films. Zbl 0983.49008
Ansini, Nadia; Braides, Andrea
23
2001
Brittle thin films. Zbl 0999.49012
Braides, A.; Fonseca, I.
11
2001
Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media. Zbl 0988.35020
Ansini, Nadia; Braides, Andrea
4
2001
3D-2D asymptotic analysis for inhomogeneous thin films. Zbl 0987.35020
Braides, A.; Fonseca, I.; Francfort, G.
47
2000
A-quasiconvexity: Relaxation and homogenization. Zbl 0971.35010
Braides, Andrea; Fonseca, Irene; Leoni, Giovanni
42
2000
Non-local variational limits of discrete systems. Zbl 0957.49011
Braides, Andrea
11
2000
Reiterated homogenization of integral functionals. Zbl 1010.49011
Braides, Andrea; Lukkassen, Dag
8
2000
Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case. Zbl 0945.74006
Braides, Andrea; Dal Maso, Gianni; Garroni, Adriana
51
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
12
1999
Homogenization of periodic multi-dimensional structures. Zbl 0944.49015
Ansini, Nadia; Braides, Andrea; Chiadò Piat, Valeria
2
1999
Approximation of free-discontinuity problems by elliptic functionals via \(\Gamma\)-convergence. Zbl 0952.49009
Acerbi, Emilio; Braides, Andrea
1
1999
Homogenization of multiple integrals. Zbl 0911.49010
Braides, Andrea; Defranceschi, Anneliese
169
1998
Approximation of free-discontinuity problems. Zbl 0909.49001
Braides, Andrea
127
1998
Free-discontinuity problems generated by singular perturbation. Zbl 0920.49007
Alicandro, Roberto; Braides, Andrea; Gelli, Maria Stella
7
1998
On the nonlocal approximation of free-discontinuity problems. Zbl 0907.49009
Braides, Andrea; Garroni, Adriana
7
1998
Special functions with bounded variation and with weakly differentiable traces on the jump set. Zbl 0909.49003
Ambrosio, Luigi; Braides, Andrea; Garroni, Adriana
4
1998
\(\Gamma\)-convergence of nonconvex functionals defined on measures. Zbl 0953.49023
Amar, M.; Braides, A.
1
1998
Non-local approximation of the Mumford-Shah functional. Zbl 0873.49009
Braides, Andrea; Dal Maso, G.
30
1997
A relaxation approach to Hencky’s plasticity. Zbl 0860.49014
Braides, Andrea; Defranceschi, A.; Vitali, E.
8
1997
Homogenization of free discontinuity problems. Zbl 0924.35015
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico
40
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
all top 5

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
all top 5

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)

Citations by Year

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