Vincent Millot
Professeur
LAMA, Laboratoire d'Analyse et de Mathématiques Appliquées
Université Paris-Est Créteil Val de Marne

Email: vincent.millot(at)u-pec.fr
Phone: +33 (0)1.45.17.16.54
Office: P3 426 

Research Interests
Calculus of Variations, Geometric Measure Theory, Nonlinear PDE's

Publications & Preprints

• Torus-like solutions for the Landau-de Gennes model. Part II: topology of S^1-equivariant minimizers

         F. Dipasquale, V. Millot, A. Pisante - Preprint 2020.

• Torus-like solutions for the Landau-de Gennes model. Part I: the Lyutsyukov regime

         F. Dipasquale, V. Millot, A. Pisante - to appear in Arch. Rational Mech. Anal.

• Partial regularity for fractional harmonic maps into spheres
  

         V. Millot, M. Pegon, A. Schikorra - Preprint 2019.

• Minimizing 1/2-harmonic maps into spheres

           V. Millot, M. Pegon - Calc. Var. and Partial Differential Equations 59, 55 (2020), 37p.

• A Ginzburg-Landau model with topologically induced free discontinuities

           M. Goldman, B. Merlet, V. Millot - to appear in Ann. Inst. Fourier.

• Minimizing fractional harmonic maps on the real line in the supercritical regime

           V. Millot, Y. Sire, H. Yu - Discrete Cont. Dyn. Syst. A. 38 (2018), 6195-6214.

• On a phase field approximation of the planar Steiner problem: existence, regularity, and asymptotic of minimizers

         M. Bonnivard, A. Lemenant, V. Millot - Interfaces Free Bound. 20 (2018), 69-106.

• Asymptotics for a fractional Allen-Cahn equation and stationary nonlocal minimal surfaces
  

          V. Millot, Y. Sire, K. Wang - Arch. Rational Mech. Anal. 231 (2019), 1129-1216.

• On sets minimizing their weighted length in uniformly convex separable Banach spaces

          T. De Pauw, A. Lemenant, V. Millot - Adv. Math. 305 (2017), 1268-1319.

• Isoperimetry and stability properties of balls with respect to nonlocal energies

          A. Figalli, N. Fusco, F. Maggi, V. Millot, M. Morini - Comm. Math. Phys. 336 (2015), 441-507.

• On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres

          V. Millot, Y. Sire - Arch. Rational Mech. Anal. 215 (2015), 125-210.

• Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements

          J.F. Babadjian, V. Millot - Ann. Inst. H. Poincaré Analyse Non Linéaire 31 (2014), 779-822.

• A two-gradient approach for phase transitions in thin films

          B. Galvao-Sousa, V. Millot - NoDEA 20 (2013), 1631-1682.

• Material voids in elastic solids with anisotropic surface energies

          I. Fonseca, N. Fusco, G. Leoni, V. Millot - J. Math. Pures Appl. 96 (2011), 591-639.

• A quantitative isoperimetric inequality for fractional perimeters

          N. Fusco, V. Millot, M. Morini - J. Funct. Anal. 261 (2011), 697-715.

• Gamma-convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves

          S. Alama, L. Bronsard, V. Millot - J. Anal. Math. 114 (2011), 341-391.

• Symmetry of local minimizers of the three-dimensional Ginzburg-Landau functional

          V. Millot, A. Pisante - J. Eur. Math. Soc. (JEMS) 12 (2010), 1069-1096.

• Homogenization of variational problems in manifold valued BV-spaces

          J.F. Babadjian, V. Millot - Calc. Var. and Partial Differential Equations 36 (2009), 7-47.

• Homogenization of variational problems in manifold valued Sobolev spaces

          J.F. Babadjian, V. Millot - ESAIM Contr., Opt., Calc. Var. 16 (2010), 833-855.

• The dipole problem for H^1/2(S^2,S^1)-maps and application

          V. Millot - Singularities in PDE and the Calculus of Variations, CRM Proceedings and Lecture Notes 44 (2008), 165-178.

• Relaxed energies for H^1/2-maps with values into the circle and measurable weights

          V. Millot, A. Pisante - Indiana Univ. Math. J. 58 (2009), 49-136.

• Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate

          R. Ignat, V. Millot - Rev. Math. Phys. 18 (2006), 119-162.

• The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate

          R. Ignat, V. Millot - J. Funct. Anal. 233 (2006), 260-306.

• The relaxed energy for S^2-valued maps and measurable weights

          V. Millot - Ann. Inst. H. Poincaré Analyse Non Linéaire 23 (2006), 135-157.

• Vortices in a 2d rotating Bose-Einstein condensate

          R. Ignat, V. Millot - C. R. Acad. Sci. Paris Sér. I 340 (2005), 571-576.

• Energy with weight for S^2-valued maps with prescribed singularities

          V. Millot - Calc. Var. and Partial Differential Equations 24 (2005), 83-109.

• Coulomb friction and oscillation: stabilization in finite time for a system of damped oscillators

          J.I. Diaz, V. Millot - Actas XVIII CEDYA / VIII CMA (2005).

Habilitation à Diriger les Recherches
Contributions au calcul variationnel géométrique et applications

Notes de Cours

• Analyse Réelle Master 1 Mathématiques, Université Paris Diderot.
• Equations Différentielles Licence 3 Mathématiques, Université Paris Diderot.
• Topologie, Analyse et Calcul Différentiel 1ière année ENS Paris.