Journals
1. The tridimensional Navier-Stokes equations with almost bidimensional data:14. Stability and weak-strong uniqueness for axisymmetric solutions of the Navier-Stokes equations, .ps
stability, uniqueness and life span, .ps
International Mathematics Research Notices, 18, pages 919-935, 19972. Asymptotics of the solutions of hyperbolic equations with a skew-symmetric perturbation, .ps
Journal of Differential Equations, 150, pages 363-384, 19983. Applications of Schochet's Methods to Parabolic Equations, .ps
Journal de Mathématiques Pures et Appliquées, 77, pages 989-1054, 19984. Fluids with anisoropic viscosity, .ps
(with J.-Y. Chemin, B. Desjardins and E. Grenier)
Modélisation Mathématique et Analyse Numérique, 34, pages 315--335, 20005. Paraproduit sur le groupe de Heisenberg et applications, .ps
(with H. Bahouri)
Revista Matematica Iberoamericana, 17, pages 69-105, 20016. A remark on smooth solutions of the weakly compressible Navier-Stokes equations, .ps
Journal of Mathematics of Kyoto University, 40, pages 525-540, 20007. Existence et unicité pour le système de Navier-Stokes axisymétrique, ps
(with M. Majdoub and S. Ibrahim)
Communications in Partial Differential Equations, 26, pages 883-907, 20018. Profile decomposition for the wave equation outside convex obstacles, .ps
(with P. Gérard)
Journal de Mathématiques Pures et Appliquées, 80, pages 1-49, 20019. Profile decomposition for solutions of the Navier-Stokes equations, .ps
Bulletin de la Société Mathématique de France, 129, pages 285-316, 200110. 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, 200212. On global solutions to a defocusing semilinear wave equation, .ps
(with F. Planchon)
Revista Matematica Iberoamericana, 19, pages 161-177, 200313. 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
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 T. 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 et Emmanuel Grenier),
Oxford University Press, 2006.
23. Refined
Hardy inequalities, .pdf
(with H. Bahouri et 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+116pp.
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,
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, 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, 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, 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),
accepted
for publication after
corrections, 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
et 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.
Notes aux Comptes-Rendus
1. Un résultat de stabilité pour les solutions faibles des équations des fluides tournants,Conferences
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 Ãfluides 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 avec 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)
to appear.
13. Limite de diffusion linéaire pour un système d\'eterministe de sphères dures,
(with T. Bodineau and L. Saint-Raymond)
to appear.
1. Perturbation antisymétrique et oscillations dans des systèmes paraboliques, .ps
Journées équations aux Dérivées Partielles de Saint-Jean-de-Monts, Exposé IV, 19982. 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 20004. 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, 20025. 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, 20026. 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, 20017. 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, 20028. Role 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, 200411.Résultats d'unicité pour le système de Navier-Stokes bidimensionnel, .ps
Séminaire équations aux dérivées partielles de l'Ecole Polytechnique, février 200512. 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.