## Millot, Vincent

Compute Distance To:
 Author ID: millot.vincent Published as: Millot, Vincent; Millot, V.
 Documents Indexed: 24 Publications since 2005 Co-Authors: 22 Co-Authors with 21 Joint Publications 521 Co-Co-Authors
all top 5

### Co-Authors

 3 single-authored 3 Babadjian, Jean-François 3 Fusco, Nicola 3 Ignat, Radu 3 Pisante, Adriano 2 Lemenant, Antoine 2 Morini, Massimiliano 2 Pegon, Marc 2 Sire, Yannick 1 Alama, Stan 1 Bonnivard, Matthieu 1 Bronsard, Lia 1 De Pauw, Thierry 1 Dipasquale, Federico 1 Figalli, Alessio 1 Fonseca, Irene 1 Galvão-Sousa, Bernardo 1 Goldman, Michael 1 Leoni, Giovanni 1 Maggi, Francesco 1 Merlet, Benoît 1 Schikorra, Armin 1 Wang, Kelei
all top 5

### Serials

 4 Archive for Rational Mechanics and Analysis 3 Calculus of Variations and Partial Differential Equations 2 Journal of Functional Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Indiana University Mathematics Journal 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
all top 5

### Fields

 16 Calculus of variations and optimal control; optimization (49-XX) 13 Partial differential equations (35-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 285 times in 238 Documents Cited by Year
Isoperimetry and stability properties of balls with respect to nonlocal energies. Zbl 1312.49051
Figalli, A.; Fusco, N.; Maggi, F.; Millot, V.; Morini, M.
2015
The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate. Zbl 1106.58009
2006
On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres. Zbl 1372.35291
Millot, Vincent; Sire, Yannick
2015
A quantitative isoperimetric inequality for fractional perimeters. Zbl 1228.46030
Fusco, Nicola; Millot, Vincent; Morini, Massimiliano
2011
Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate. Zbl 1105.82030
2006
Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements. Zbl 1302.35051
2014
Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003
Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent
2011
Symmetry of local minimizers for the three-dimensional Ginzburg-Landau functional. Zbl 1204.35156
2010
On a phase field approximation of the planar Steiner problem: existence, regularity, and asymptotic of minimizers. Zbl 1396.49027
Bonnivard, Matthieu; Lemenant, Antoine; Millot, Vincent
2018
Homogenization of variational problems in manifold valued Sobolev spaces. Zbl 1427.74148
2010
Homogenization of variational problems in manifold valued $$BV$$-spaces. Zbl 1169.74037
2009
Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces. Zbl 1406.35472
Millot, Vincent; Sire, Yannick; Wang, Kelei
2019
Relaxed energies for $$H^{1/2}$$-maps with values into the circle and measurable weights. Zbl 1173.46017
2009
$$\Gamma$$-convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves. Zbl 1245.82085
Alama, Sam; Bronsard, Lia; Millot, Vincent
2011
Energy with weight for $$S^2$$-valued maps with prescribed singularities. Zbl 1115.49013
Millot, Vincent
2005
Vortices in a 2d rotating Bose–Einstein condensate. Zbl 1072.35566
2005
Torus-like solutions for the Landau-de Gennes model. I: The Lyuksyutov regime. Zbl 1456.82909
Dipasquale, Federico; Millot, Vincent; Pisante, Adriano
2021
A Ginzburg-Landau model with topologically induced free discontinuities. (Un modèle de type Ginzburg-Landau avec des discontinuités libres topologiquement induites.) Zbl 1468.35191
Goldman, Michael; Merlet, Benoit; Millot, Vincent
2020
Minimizing $$1/2$$-harmonic maps into spheres. Zbl 1437.35310
Millot, Vincent; Pegon, Marc
2020
On sets minimizing their weighted length in uniformly convex separable Banach spaces. Zbl 1364.49058
De Pauw, Thierry; Lemenant, Antoine; Millot, Vincent
2017
A two-gradient approach for phase transitions in thin films. Zbl 1277.35140
Galvão-Sousa, Bernardo; Millot, Vincent
2013
The relaxed energy for $$S^2$$-valued maps and measurable weights. Zbl 1130.49002
Millot, Vincent
2006
Torus-like solutions for the Landau-de Gennes model. I: The Lyuksyutov regime. Zbl 1456.82909
Dipasquale, Federico; Millot, Vincent; Pisante, Adriano
2021
A Ginzburg-Landau model with topologically induced free discontinuities. (Un modèle de type Ginzburg-Landau avec des discontinuités libres topologiquement induites.) Zbl 1468.35191
Goldman, Michael; Merlet, Benoit; Millot, Vincent
2020
Minimizing $$1/2$$-harmonic maps into spheres. Zbl 1437.35310
Millot, Vincent; Pegon, Marc
2020
Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces. Zbl 1406.35472
Millot, Vincent; Sire, Yannick; Wang, Kelei
2019
On a phase field approximation of the planar Steiner problem: existence, regularity, and asymptotic of minimizers. Zbl 1396.49027
Bonnivard, Matthieu; Lemenant, Antoine; Millot, Vincent
2018
On sets minimizing their weighted length in uniformly convex separable Banach spaces. Zbl 1364.49058
De Pauw, Thierry; Lemenant, Antoine; Millot, Vincent
2017
Isoperimetry and stability properties of balls with respect to nonlocal energies. Zbl 1312.49051
Figalli, A.; Fusco, N.; Maggi, F.; Millot, V.; Morini, M.
2015
On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres. Zbl 1372.35291
Millot, Vincent; Sire, Yannick
2015
Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements. Zbl 1302.35051
2014
A two-gradient approach for phase transitions in thin films. Zbl 1277.35140
Galvão-Sousa, Bernardo; Millot, Vincent
2013
A quantitative isoperimetric inequality for fractional perimeters. Zbl 1228.46030
Fusco, Nicola; Millot, Vincent; Morini, Massimiliano
2011
Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003
Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent
2011
$$\Gamma$$-convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves. Zbl 1245.82085
Alama, Sam; Bronsard, Lia; Millot, Vincent
2011
Symmetry of local minimizers for the three-dimensional Ginzburg-Landau functional. Zbl 1204.35156
2010
Homogenization of variational problems in manifold valued Sobolev spaces. Zbl 1427.74148
2010
Homogenization of variational problems in manifold valued $$BV$$-spaces. Zbl 1169.74037
2009
Relaxed energies for $$H^{1/2}$$-maps with values into the circle and measurable weights. Zbl 1173.46017
2009
The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate. Zbl 1106.58009
2006
Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate. Zbl 1105.82030
2006
The relaxed energy for $$S^2$$-valued maps and measurable weights. Zbl 1130.49002
Millot, Vincent
2006
Energy with weight for $$S^2$$-valued maps with prescribed singularities. Zbl 1115.49013
Millot, Vincent
2005
Vortices in a 2d rotating Bose–Einstein condensate. Zbl 1072.35566
2005
all top 5

### Cited by 277 Authors

 15 Novaga, Matteo 12 Millot, Vincent 9 Fusco, Nicola 9 Valdinoci, Enrico 8 Liu, Zuhan 7 Ignat, Radu 7 Schikorra, Armin 6 Alama, Stan 6 Bronsard, Lia 6 Correggi, Michele 6 Dipierro, Serena 6 Pelinovsky, Dmitry Efimovich 6 Rougerie, Nicolas 5 Aftalion, Amandine 5 Morini, Massimiliano 5 Rossi, Riccarda 5 Sire, Yannick 5 Topaloglu, Ihsan 5 Yngvason, Jakob 4 Acuña Valverde, Luis 4 Bonafini, Mauro 4 Cabré, Xavier 4 Cesaroni, Annalisa 4 Fall, Mouhamed Moustapha 4 Figalli, Alessio 4 Fonseca, Irene 4 Gallo, Clément 4 Goldman, Michael 4 Huang, Chengming 4 Julin, Vesa 4 Negri, Matteo 4 Orlandi, Giandomenico 4 Oudet, Edouard 4 Pegon, Marc 4 Pisante, Adriano 4 Royo-Letelier, Jimena 4 Ruffini, Berardo 4 Sourdis, Christos 3 Almi, Stefano 3 Choksi, Rustum 3 Cicalese, Marco 3 Cristoferi, Riccardo 3 Davoli, Elisa 3 De Luca, Lucia 3 Frank, Rupert L. 3 Karali, Georgia D. 3 Knüpfer, Hans 3 La Manna, Domenico Angelo 3 Lei, Yutian 3 Li, Meng 3 Majumdar, Apala 3 Muratov, Cyrill B. 3 Nguyen, Luc 3 Piovano, Paolo 3 Pratelli, Aldo 3 Slastikov, Valeriy V. 3 Smyrnelis, Panayotis 3 Xiao, Jie 3 Zarnescu, Arghir Dani 3 Zhang, Qifeng 2 Alberico, Angela 2 Babadjian, Jean-François 2 Bonacini, Marco 2 Caroccia, Marco 2 Chen, Qinghua 2 Cianchi, Andrea 2 Cinti, Eleonora 2 Clerc, Marcel G. 2 Da Lio, Francesca 2 Garofalo, Nicola 2 Guo, Yujin 2 Hao, Zhaopeng 2 Heinemann, Christian 2 Jerrard, Robert Leon 2 Kevrekidis, Panayotis G. 2 Kimura, Masato 2 Knees, Dorothee 2 Kowalczyk, Michał 2 Kraus, Christiane 2 Lamy, Xavier 2 Lemenant, Antoine 2 Leoni, Giovanni 2 Li, Yayun 2 Luo, Yong 2 Maggi, Francesco 2 Merlet, Benoît 2 Montero, José Alberto 2 Neumayer, Robin 2 Nguyen, Hoai-Minh 2 Pick, Luboš 2 Pinsker, Florian 2 Ponsiglione, Marcello 2 Sandier, Etienne 2 Shi, Shaoguang 2 Slavíková, Lenka 2 Sun, Haiwei 2 Sun, Zhizhong 2 Thomas, Marita 2 Wang, Nan 2 Weth, Tobias ...and 177 more Authors
all top 5

### Cited in 83 Serials

 23 Calculus of Variations and Partial Differential Equations 22 Archive for Rational Mechanics and Analysis 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Journal of Functional Analysis 9 Communications in Mathematical Physics 6 Journal of Mathematical Physics 6 SIAM Journal on Mathematical Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Mathematical Analysis and Applications 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Differential Equations 4 Journal für die Reine und Angewandte Mathematik 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Advances in Calculus of Variations 3 Nonlinearity 3 Communications in Partial Differential Equations 3 Journal of Nonlinear Science 3 NoDEA. Nonlinear Differential Equations and Applications 3 Geometric Flows 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Journal of Computational Physics 2 Journal of Statistical Physics 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Indiana University Mathematics Journal 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 European Journal of Applied Mathematics 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Potential Analysis 2 Interfaces and Free Boundaries 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications on Pure and Applied Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Fixed Point Theory and Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis & PDE 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Studies in Applied Mathematics 1 Annals of Global Analysis and Geometry 1 Physica D 1 Applied Numerical Mathematics 1 Journal of Theoretical Probability 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Milan Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Advances in Applied Mathematics and Mechanics 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Advances in Nonlinear Analysis 1 Annals of PDE 1 Journal de l’École Polytechnique – Mathématiques
all top 5

### Cited in 29 Fields

 148 Partial differential equations (35-XX) 98 Calculus of variations and optimal control; optimization (49-XX) 51 Statistical mechanics, structure of matter (82-XX) 28 Mechanics of deformable solids (74-XX) 22 Differential geometry (53-XX) 21 Numerical analysis (65-XX) 18 Fluid mechanics (76-XX) 17 Real functions (26-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Functional analysis (46-XX) 13 Quantum theory (81-XX) 11 Operator theory (47-XX) 10 Measure and integration (28-XX) 7 Probability theory and stochastic processes (60-XX) 4 Potential theory (31-XX) 4 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)