ON
THE NAVIER-STOKES EQUATIONS
The
tridimensional Navier-Stokes equations
with almost bidimensional data: stability,
uniqueness
and life span,
.ps
International Mathematics Research
Notices, 18,
pages 919-935,
1997
Fluids with anisotropic
viscosity,
.ps
(with J.-Y.
Chemin, B. Desjardins and E. Grenier)
Modélisation
Mathématique et Analyse
Numérique, 34,
pages 315--335, 2000
A remark on smooth
solutions of
the weakly
compressible Navier-Stokes equations, .ps
Journal of Mathematics of Kyoto
University, 40,
pages 525-540,
2000
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, 2001
Profile decomposition for
solutions of
the
Navier-Stokes equations, .ps
Bulletin de la
Société Mathématique de
France, 129,
pages 285-316, 2001
Mathematical analysis of a
structure-preserving
approximation of the bidimensional vorticity
equation, .ps
Numerische Mathematik, 91,
pages 223-236,
2002.
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
Stability
and weak-strong uniqueness for axisymmetric solutions of the
Navier-Stokes
equations,
.ps
Differential
and Integral Equations, 16, 5, pages 557-572, 2003
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
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.
On the uniqueness of the
solution of
the
two-dimensional Navier-Stokes equation with a Dirac mass as initial
vorticity, .ps
(with T. Gallay et P.-L.
Lions)
Mathematische Nachrichten,
278 (2005),
1665-1672.
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.
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
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.
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.
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.
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.
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.
SINGULAR PERTURBATION PROBLEMS
Asymptotics of the
solutions of
hyperbolic
equations with a skew-symmetric perturbation,
.ps
Journal of Differential Equations, 150,
pages
363-384, 1998
Applications of Schochet's
Methods
to
Parabolic Equations, .ps
Journal de Mathématiques
Pures et Appliquées, 77,
pages 989-1054, 1998
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
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.
Weak convergence results
for inhomogeneous rotating fluid equations, .pdf
(with L. Saint
Raymond),
Journal d'Analyse
Mathématique,
99 (2006), 1-34.
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.
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.
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.
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.
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.
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.
A singular limit for compressible rotating fluids, pdf
(with E. Feireisl and A. Novotny),
SIAM Journal for
Mathematical Analysis 44 (2012), 192-205.
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.
DISPERSIVE
EQUATIONS (WAVE AND
SCHRODINGER)
Profile
decomposition for the wave
equation
outside convex obstacles,
.ps
(with P. Gérard)
Journal de Mathématiques
Pures et Appliquées, 80,
pages 1-49, 2001
On global solutions to a
defocusing
semilinear
wave equation, .ps
(with F. Planchon)
Revista Matematica Iberoamericana, 19,
pages
161-177,
2003
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.
HARMONIC ANALYSIS ON GROUPS
Paraproduit sur le groupe
de
Heisenberg
et applications, .ps
(with H. Bahouri)
Revista Matematica Iberoamericana, 17,
pages
69-105,
2001
Refined
Hardy inequalities, .pdf
(with H. Bahouri and J.-Y.
Chemin),
Annali della Scuola
Normale di Pisa Vol V (2006), 375-391.
Phase
space analysis and pseudodifferential calculus on the Heisenberg group,
arxiv
(with H. Bahouri and C.
Fermanian-Kammerer),
Astérisque 342 (2012), vi+127pp.
Besov algebras on Lie groups of polynomial growth, pdf
(with Y. Sire),
Studia Math. 212 (2012), no. 2, 119–139.
KINETIC LIMITS
From Newton to Boltzmann : hard spheres and short-range potentials, pdf
(with L. Saint-Raymond and B. Texier)
Zurich Advanced Lectures in Mathematics Series.