Isabelle Gallagher

Université Paris-Diderot

Ecole Normale Supérieure de Paris, DMA


Publications

(see here for a thematical list)


Journals

  1. The tridimensional Navier-Stokes equations with almost bidimensional data: stability, uniqueness and life span , .ps
    International Mathematics Research Notices, 18, pages 919-935, 1997.
  2. Asymptotics of the solutions of hyperbolic equations with a skew-symmetric perturbation, .ps
    Journal of Differential Equations,150, pages 363-384, 1998.
  3. Applications of Schochet's Methods to Parabolic Equations, .ps
    Journal de Mathématiques Pures et Appliquées, 77, pages 989-1054, 1998.
  4. Fluids with anisoropic viscosity, .ps
    (with J.-Y. Chemin, B. Desjardins and E. Grenier)
    Modélisation Mathématique et Analyse Numérique, 34, pages 315--335, 2000.
  5. Paraproduit sur le groupe de Heisenberg et applications, .ps
    (with H. Bahouri)
    Revista Matematica Iberoamericana, 17, pages 69-105, 2001.
  6. A remark on smooth solutions of the weakly compressible Navier-Stokes equations, .ps
    Journal of Mathematics of Kyoto University, 40, pages 525-540, 2000.
  7. Existence et unicité pour le système de Navier-Stokes axisymétrique, ps and erratum
    (with M. Majdoub and S. Ibrahim)
    Communications in Partial Differential Equations, 26, pages 883-907, 2001.
  8. Profile decomposition for the wave equation outside convex obstacles, .ps
    (with P. Gérard)
    Journal de Mathématiques Pures et Appliquées, 80, pages 1-49, 2001.
  9. Profile decomposition for solutions of the Navier-Stokes equations, .ps
    Bulletin de la Société Mathématique de France, 129, pages 285-316, 2001.
  10. Mathematical analysis of a structure-preserving approximation of the bidimensional vorticity equation, .ps
    Numerische Mathematik,91, pages 223-236, 2002.
  11. On global infinite energy solutions to the Navier-Stokes equations in two dimensions, .ps
    (with F. Planchon),
    Archive for Rational Mechanics and Analysis, 161, pages 307-337, 2002.
  12. On global solutions to a defocusing semilinear wave equation, .ps
    (with F. Planchon)
    Revista Matematica Iberoamericana, 19, pages 161-177, 2003.
  13. Ekman boundary layers in rotating fluids, .ps
    (with J.-Y. Chemin, B. Desjardins and E. Grenier)
    ESAIM Controle optimal et calcul des variations, A tribute to J.-L. Lions, 8, pages 441-466, 2002.
  14. Stability and weak-strong uniqueness for axisymmetric solutions of the Navier-Stokes equations, .ps
    Differential and Integral Equations, 16, 5, pages 557-572, 2003.
  15. Asymptotics and stability for global solutions to the Navier--Stokes equations, .ps
    (with D. Iftimie and F. Planchon),
    Annales de l'Institut Fourier, 53, 5, pages 1387-1424, 2003.
  16. On the role of quadratic oscillations in nonlinear Schrodinger equations, .ps
    (with R. Carles and C. Fermanian),
    Journal of Functional Analysis, 203, pages 453--493, 2003.
  17. On pressureless gases driven by a strong inhomogeneous magnetic field, .ps
    (with L. Saint-Raymond),
    SIAM Journal for Mathematical Analysis, 36 (2005), no. 4, pages 1159-1176.
  18. Uniqueness for the two-dimensional Navier-Stokes equation with a measure as initial vorticity, .ps
    (with Th. Gallay),
    Mathematische Annalen, 332, pages 287-327, 2005.
  19. On the uniqueness of the solution of the two-dimensional Navier-Stokes equation with a Dirac mass as initial vorticity, .ps
    (with T. Gallay and P.-L. Lions)
    Mathematische Nachrichten, 278(2005), 1665-1672.
  20. Weak convergence results for inhomogeneous rotating fluid equations, .pdf
    (with L. Saint Raymond),
    Journal d'Analyse Mathématique, 99(2006), 1-34.
  21. On the global wellposedness of the 3-D incompressible Navier-Stokes equations, .pdf
    (with J.-Y. Chemin),
    Annales Scientifiques de l'Ecole Normale Supérieure de Paris,39 (2006), 679-698.
  22. Mathematical Geophysics: An introduction to rotating fluids and to the Navier-Stokes equations,
    (with J.-Y. Chemin, B. Desjardins and Emmanuel Grenier),
    Oxford University Press, 2006.
  23. Refined Hardy inequalities, .pdf
    (with H. Bahouri and J.-Y. Chemin),
    Annali della Scuola Normale di Pisa, Vol V (2006), 375-391.
  24. On the influence of the Earth's rotation on geophysical flows, .pdf
    (with L. Saint-Raymond),
    Handbook of Mathematical Fluid Dynamics, Vol 4, 201-329.
  25. Mathematical study of the betaplane model: equatorial waves and convergence results, .pdf
    (with L. Saint-Raymond),
    Mémoires de la Société Mathématique de France, 107, 2006, vi+116 pages.
  26. Wellposedness and stability results for the Navier-Stokes equations in R^3, .pdf
    (with J.-Y. Chemin),
    Annales de l'Institut H. Poincaré, Analyse non Linéaire, 26 (2009), no. 2, 599–624.
  27. Analyticity of the scattering operator for semilinear dispersive equations, .pdf
    (with R. Carles),
    Communications in Mathematical Physics, (2009), 286, 3, 1181-1209.
  28. Heat kernel on the Heisenberg group, .pdf
    (with H. Bahouri),
    Progress in nonlinear differential equations and their applications, Birkhauser 78, 2009.
  29. Remarks on the blow-up of solutions to a toy model for the Navier-Stokes equations, .pdf
    (with M. Paicu),
    Proceedings of the American Mathematical Society, 137 (2009), no. 6, 2075–2083.
  30. Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator, lien sur arxiv
    (with Th. Gallay and F. Nier),
    International Mathematics Research Notices 2009 (2009), 2147-2199.
  31. Large, global solutions to the Navier-Stokes equations, slowly varying in one direction, .pdf
    (with J.-Y. Chemin),
    Transactions of the American Mathematical Society 362 (2010), no. 6, 2859--2873.
  32. Global regularity for some classes of large solutions to the Navier-Stokes equations, lien sur arxiv
    (with J.-Y. Chemin and M. Paicu),
    Annals of Mathematics 173 (2011), no. 2, 983–1012.
  33. Phase space analysis and pseudodifferential calculus on the Heisenberg group, lien sur arxiv
    (with H. Bahouri and C. Fermanian-Kammerer),
    Astérisque 342 (2012), vi+127pp.
  34. On large perturbations to global solutions of the 3-D incompressible Navier-Stokes equations, lien sur arxiv
    (with J.-Y. Chemin and P. Zhang),
    Journal für die reine und angewandte Mathematik, 681 (2013), 65–82.
  35. Semiclassical and spectral analysis of oceanic waves, .pdf
    (with C. Cheverry, T. Paul and L. Saint-Raymond),
    Duke Mathematical Journal 161 (2012), no. 5, 845–892.
  36. On the propagation of oceanic waves driven by a strong macroscopic flow, pdf
    (with T. Paul and L. Saint-Raymond),
    Abel Symposia Series.
  37. A singular limit for compressible rotating fluids, pdf
    (with E. Feireisl and A. Novotny),
    SIAM Journal for Mathematical Analysis 44 (2012), 192-205.
  38. Multiscale analysis of compressible viscous and rotating fluids, pdf
    (with E. Feireisl, D. Gérard-Varet and A. Novotny),
    Communication in Mathematical Physics 314 (2012), no. 3, 641–670.
  39. Besov algebras on Lie groups of polynomial growth, pdf
    (with Y. Sire),
    Studia Math. 212 (2012), no. 2, 119–139.
  40. Stability estimates for the near and far field patterns at the high frequency limit, pdf
    (with H. Ammari, H. Bahouri and D. Dos Santos Ferreira),
    Journal of Mathematical Analysis and Applications 400 (2013), no. 2, 525–540.
  41. A profile decomposition approach to the $L^\infty_t(L^{3}_x)$ Navier-Stokes regularity criterion, pdf
    (with G. Koch and F. Planchon),
    Math. Annalen 355 (2013), no. 4, 1527–1559.
  42. Weak stability of global solutions to the incompressible Navier-Stokes equations, pdf
    (with H. Bahouri),
    Archive for Rational Mechanics and Analysis 209 (2013), no. 2, 569–629.
  43. From Newton to Boltzmann : hard spheres and short-range potentials, pdf
    (with L. Saint-Raymond and B. Texier),
    Zurich Advanced Lectures in Mathematics Series, 18 2014 (148 pages).
    A corrected version (a section has been added to Chapter 5) is available here.
  44. The Brownian motion as the limit of a deterministic system of hard-spheres, pdf
    (with T. Bodineau and L. Saint-Raymond),
    Inventiones mathematicae, 203 (2016), 493-553.
  45. Blow-up of critical Besov norms at a Navier-Stokes singularity, pdf
    (with G. Koch and F. Planchon),
    Communications in Mathematical Physics, 343 (2016), 39-82
  46. Dispersive estimates for the Schrödinger operator on step 2 Stratified Lie groups, pdf
    (with H. Bahouri and C. Fermanian-Kammerer),
    Analysis of PDE, 9 (2016), 545–574.
  47. From hard spheres dynamics to the Stokes-Fourier equations: an $L^2$ analysis of the Boltzmann-Grad limit, pdf
    (with T. Bodineau and L. Saint-Raymond),
    Annals of PDE 3 (2017), no. 1, Art. 3:2, 118 pp.
  48. Wellposedness of linearized Taylor equations in magnetohydrodynamics, pdf
    (with D. Gérard-Varet),
    F. Colombini et al (eds.), Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics, Springer INdAM Series 17 (2017), 103-140.
  49. Universal dynamics for the defocusing logarithmic Schrodinger equation, pdf
    (with R. Carles),
    Duke Mathematical Journal 167 (2018), no. 9, 1761-1801.
  50. A non linear estimate on the life span of solutions of the three dimensional Navier-Stokes equations, pdf
    (with J.-Y. Chemin),
    to appear, Tunisian Mathematical Journal.
  51. One-sided convergence in the Boltzmann-Grad limit, pdf
    (with T. Bodineau, L. Saint-Raymond and S. Simonella),
    to appear, Annales de la Faculté des Sciences de Toulouse.
  52. Asymptotics of fast rotating density-dependent incompressible fluids in two space dimensions, pdf
    (with F. Fanelli),
    to appear, Revista Matematica Iberoamericana.
  53. Derivation of an Ornstein-Uhlenbeck process for a massive particle in a rarified gas of particles, pdf
    (with T. Bodineau and L. Saint-Raymond),
    to appear, Annales Henri Poincaré.
  54. On stationary two-dimensional flows around a fast rotating disk, pdf
    (with M. Higaki and Y. Maekawa),
    to appear, Math Nachrichten.
  55. On the stability of global solutions to the three dimensional Navier-Stokes equations, pdf
    (with H. Bahouri and J.-Y. Chemin),
    accepted for publication, Journal de l'École polytechnique.
  56. Some remarks about the possible blow-up for the Navier-Stokes equations, pdf
    (with J.-Y. Chemin and P. Zhang),
    submitted.
  57. Solutions of Navier-Stokes-Maxwell systems in large energy spaces, pdf
    (with D. Arsénio),
    submitted.

Notes aux Comptes-Rendus

  1. Un résultat de stabilité pour les solutions faibles des équations des fluides tournants,
    324, Série 1, pages 183-186, 1997.
  2. Existence globale pour des équations des fluides géostrophiques,
    325, Série I, pages 623-626, 1997.
  3. Anisotropie et dispersion dans les fluides tournants,
    (with J.-Y. Chemin, B. Desjardins and E. Grenier)
    329, Série I, pages 1055-1058, 1999.
  4. Solutions axisymétriques des équations de Navier-Stokes,
    (with M. Majdoub and S. Ibrahim)
    330, Série I, pages 791-794, 2000.
  5. Estimations a priori et Lipschitz pour le groupe d'évolution des équations de Navier-Stokes,
    331, Série I, pages 675-678, 2000.
  6. Non-explosion en temps grand et stabilité de solutions globales des équations de Navier-Stokes,
    (with D. Iftimie and F. Planchon)
    334, Série I, pages 289-292, 2002.
  7. Weak convergence results for inhomogeneous rotating fluids,
    (with L. Saint-Raymond)
    336, Série I, pages 401-406, 2003.
  8. Inégalités de Hardy précisées,
    (with H. Bahouri and J.-Y. Chemin)
    341, Série I, pages 89-92, 2005.
  9. Trapping Rossby waves,
    (with Ch. Cheverry, Th. Paul and L. Saint-Raymond)
    347, Série I, pages 879-884, 2009.
  10. Analyse de l'espace des phases et calcul pseudo-différentiel sur le groupe de Heisenberg,
    (with H. Bahouri and C. Fermanian-Kammerer)
    347, Série I, pages 1021-1024, 2009.
  11. Refined inequalities on graded Lie groups,
    (with H. Bahouri and C. Fermanian-Kammerer)
    350, Série I, pages 393–397, 2012.
  12. Stability by rescaled weak convergence for the Navier-Stokes equations,
    (with H. Bahouri and J.-Y. Chemin)
    352, Série I, pages 305–310, 2014.
  13. Limite de diffusion pour un système déterministe de sphères dues,
    (with T. Bodineau and L. Saint-Raymond)
    352, Série I, pages 411–419, 2014.
  14. From hard spheres dynamics to the Stokes-Fourier equations: an $L^2$ analysis of the Boltzmann-Grad limit,
    (en collaboration avec T. Bodineau et L. Saint-Raymond)
    353, Série I, pages 623–627, 2015.

Seminars and Proceedings

  1. Perturbation antisymétrique et oscillations dans des systèmes paraboliques, .ps
    Journées équations aux Dérivées Partielles de Saint-Jean-de-Monts, Exposé IV, 1998.
  2. Asymptotics of the Solutions of Hyperbolic Equations With a Skew-Symmetric Perturbation,
    7th International Conference on Hyperbolic Problems: Theory, Numerics and Applications,
    Zurich, Birkhauser, 129, 1999.
  3. Décomposition en profils pour les solutions des équations de Navier-Stokes, .ps
    Séminaire équations aux dérivées partielles de l'Ecole Polytechnique, mai 2000.
  4. Décomposition en profils des solutions de l'équation des ondes semi linéaire critique a l'extérieur d'un obstacle strictement convexe, .ps
    (with P. Gérard),
    Nonlinear Partial Differential Equations and their applications, College de France Seminar, Studies in Mathematics and its Applications, 31, pages 367-392, 2002.
  5. Anisotropy and dispersion in rotating fluids, .ps
    (with J.-Y. Chemin, B. Desjardins and E. Grenier),
    Nonlinear Partial Differential Equations and their applications, College de France Seminar,
    Studies in Mathematics and its Applications, 31, pages~171-191, 2002.
  6. Équations de Navier-Stokes sans viscosité dans une direction, .ps
    (with J.-Y. Chemin, B. Desjardins and E. Grenier),
    Colloque Franco--Tunisien d'Équations aux Dérivées Partielles, La Marsa, Tunisie, 2001.
  7. Stabilité et asymptotique en temps grand de solutions globales des équations de Navier-Stokes, .ps
    (with F. Planchon and D. Iftimie),
    Journées Équations aux Dérivées Partielles de Forges-les-Eaux, 2002.
  8. Rôle des oscillations quadratiques dans des équations de Schrodinger non linéaires, .ps
    Séminaire Équations aux Dérivées Partielles de l'École polytechnique, décembre 2002.
  9. Résultats récents sur la limite incompressible, .ps
    Séminaire Bourbaki, novembre 2003.
  10. Interpolation between energy and scaling for some nonlinear Cauchy problems, .pdf Phase Space Analysis of Partial Differential Equations Vol. I, 201--223, Pubbl. Cent. Ric. Mat. Ennio Giorgi, Scuola Norm. Sup., Pisa, 2004.
  11. Résultats d'unicité pour le système de Navier-Stokes bidimensionnel, .ps Séminaire équations aux dérivées partielles de l'Ecole Polytechnique, février 2005.
  12. A mathematical review of the analysis of the betaplane model and equatorial waves, .pdf
    Discrete and Continuous Dynamical Systems Series S, 1, 3 (2008), pages 461--480.
  13. Facettes mathématiques de la mécanique des fluides,
    (with J.-Y. Chemin and D. Gérard-Varet),
    Actes des Journées X-UPS 2010, 90 pages.
  14. Équations cinétiques pour la turbulence faible,
    (with L. Saint-Raymond and B. Texier),
    Séminaire équations aux dérivées partielles de l'Ecole Polytechnique, octobre 2010.
  15. Du microscopique au macroscopique : résultats de convergence de systèmes infinis de particules vers des équations de la mécanique des fluides, Actes du colloque EDP-Normandie 2015.