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TORUS-LIKE SOLUTIONS FOR THE LANDAU-DE GENNES MODEL. PART II: TOPOLOGY OF S1-EQUIVARIANT MINIMIZERS

 Vincent Millot , Federico Dipasquale , Adriano Pisante
2021
Pré-publication, Document de travail hal-04299846v1
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TORUS-LIKE SOLUTIONS FOR THE LANDAU-DE GENNES MODEL. PART I: THE LYUKSYUTOV REGIME

 Federico Dipasquale , Vincent Millot , Adriano Pisante
Archive for Rational Mechanics and Analysis, 2020, https://doi.org/10.1007/s00205-020-01582-8. ⟨10.1007/s00205-020-01582-8⟩
Article dans une revue hal-02458774v2
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On the convergence of critical points of the Ambrosio-Tortorelli functional

 Jean-François Babadjian , Vincent Millot , Remy Rodiac
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, In press
Article dans une revue hal-03805609v2
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MINIMIZING FRACTIONAL HARMONIC MAPS ON THE REAL LINE IN THE SUPERCRITICAL REGIME

 Vincent Millot , Yannick Sire , Hui Yu
Discrete and Continuous Dynamical Systems - Series A, 2018, 38
Article dans une revue hal-01617042v1
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A Ginzburg-Landau model with topologically induced free discontinuities

 Michael Goldman , Benoît Merlet , Vincent Millot
Annales de l'Institut Fourier, 2020, Université de Grenoble. Annales de l'Institut Fourier, 70 (6), pp.2583--2675
Article dans une revue hal-01643795v1
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Contributions au calcul variationnel géométrique et applications

 Vincent Millot
Equations aux dérivées partielles [math.AP]. Université Paris Diderot, 2014
HDR tel-01094870v1
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ASYMPTOTICS FOR THE FRACTIONAL ALLEN-CAHN EQUATION AND STATIONARY NONLOCAL MINIMAL SURFACES

 Vincent Millot , Yannick Sire , Kelei Wang
Archive for Rational Mechanics and Analysis, 2019, 231
Article dans une revue hal-01386330v1
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Some variational problems arising in condensed matter physics

 Vincent Millot
Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2005. English. ⟨NNT : ⟩
Thèse tel-00125312v1

Torus-like solutions for the Landau-de Gennes model. Part III: torus vs split minimizers

 Federico Dipasquale , Vincent Millot , Adriano Pisante
2021
Pré-publication, Document de travail hal-04299854v1
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A note on the one-dimensional critical points of the Ambrosio-Tortorelli functional

 Jean-François Babadjian , Vincent Millot , Remy Rodiac
Asymptotic Analysis, 2023, 135, pp.349-362. ⟨10.3233/ASY-231857⟩
Article dans une revue hal-03876804v1
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Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements

 Jean-François Babadjian , Vincent Millot
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2014, 31 (4), pp.779-822
Article dans une revue hal-00823714v1

Homogenization of variational problems in manifold valued Sobolev spaces

 Jean-François Babadjian , Vincent Millot
ESAIM: Control, Optimisation and Calculus of Variations, 2010, 16 (4), pp.833-855. ⟨10.1051/cocv/2009025⟩
Article dans une revue hal-00265697v1
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Partial regularity for fractional harmonic maps into spheres

 Vincent Millot , Marc Pegon , Armin Schikorra
Archive for Rational Mechanics and Analysis, 2021, 242 (2), pp.747-825. ⟨10.1007/s00205-021-01693-w⟩
Article dans une revue hal-02297231v3
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Minimizing 1/2-harmonic maps into spheres

 Vincent Millot , Marc Pegon
Calculus of Variations and Partial Differential Equations, 2020, 59 (2), pp.55. ⟨10.1007/s00526-020-1704-z⟩
Article dans une revue hal-01985037v1
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ON A PHASE FIELD APPROXIMATION OF THE PLANAR STEINER PROBLEM: EXISTENCE, REGULARITY, AND ASYMPTOTIC OF MINIMIZERS

 Matthieu Bonnivard , Antoine Lemenant , Vincent Millot
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2018, 20
Article dans une revue hal-01401822v1
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On sets minimizing their weighted length in uniformly convex separable Banach spaces

 Thierry de Pauw , Antoine Lemenant , Vincent Millot
Advances in Mathematics, 2017, 305
Article dans une revue hal-00877498v1
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Γ–CONVERGENCE OF 2D GINZBURG-LANDAU FUNCTIONALS WITH VORTEX CONCENTRATION ALONG CURVES

 Stan Alama , Lia Bronsard , Vincent Millot
2009
Pré-publication, Document de travail hal-00400221v1

Homogenization of variational problems in manifold valued BV-spaces

 Jean-François Babadjian , Vincent Millot
Calculus of Variations and Partial Differential Equations, 2009, 36 (1), pp.7-47. ⟨10.1007/s00526-008-0220-3⟩
Article dans une revue hal-00270748v1
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On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres

 Vincent Millot , Yannick Sire
Archive for Rational Mechanics and Analysis, 2014, 215 (1)
Article dans une revue hal-00848761v2
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Isoperimetry and stability properties of balls with respect to nonlocal energies

 Alessio Figalli , Nicola Fusco , Francesco Maggi , Vincent Millot , Massimiliano Morini
Communications in Mathematical Physics, 2014, 336 (1), ⟨10.1007/s00220-014-2244-1⟩
Article dans une revue hal-00955169v1
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