2004-2006
[1]
Incompressible Limit of solutions of the two-dimensional
compressible Euler system with degenerating intial data (with A.
Dutrifoy).
Comm. Pure Appl. Math. 57 (2004) no 9, 1159-1177. Pdf
[2] Régularité
höldérienne des poches de tourbillon régulières.
J. Math. Pures Appl. (9) 84 (2005), no. 11,
1455-1495. Pdf
[3] Un
résultat de décroissance des poches de tourbillon axisymétriques
(with H. Abidi).
Ann. Fac. Sci.
Toulouse Math. (6) 14 (2005), no. 4, 563-592. Pdf
[4] Blowup
theory for the critical nonlinear Schrödinger equations revisited
(with S. Keraani)
Int. Math. Res. Not.
(2005), no. 46, 2815-2828. Pdf
[5] Remarks
on the blowup for the L^2- critical non-linear schrodinger equations
(with S. Keraani)
SIAM, (2006) 38, Issue
4, 1035-1370. Pdf
[6] Poches
de tourbillon singulière dans un fluide faiblement visqueux.
Revista Mat. Ibero. , 22 (2) 2006, 489-543.
Pdf
[7] Inviscid
limit for the two-dimensional Navier-Stokes equation in a critical
Besov space (with S. Keraani).
Asymptotic Analysis, 53 (3) 2007, 125-138. Pdf
[8] On
the global solutions of the super-critical 2D quasi-geostrophic
equation in Besov spaces (with S. Keraani).
Advances in Mathematics, 214 (2) 2007, 618-638. arXiv
[9] On
the global well-posedness of two-dimensional Boussinesq system with
zero diffusivity (with S.Keraani).
Advances in Differential Equations, 12 (4) 2007. Pdf
[10] On
the global well-posedness for Boussinesq system (with H. Abidi).
J. Differential Equations 233
(2007) 199-220. Pdf
[11] Résultas
d'existence dans des espaces critiques pour le système de la MHD
inhomogène (with H. Abidi).
Ann. Math. Blaise Pascal 14 (2007), 103-148. Pdf
[12] On
the global well-posedness of the critical quasi-geostrophic equation
(with H. Abidi).
SIAM J.
Math. Anal. 40 (2008), no. 1, 167-185. arXiv
[13] Incompressible
viscous flows in borderline Besov spaces (with S. Keraani).
Arch. Rational. Mech. Anal. 189 (2008),
283-300. Pdf
[14] Inviscid
limit For Axisymmetric Navier-Stokes System (with M.
Zerguine).
Differential and
Integral Equations, 22, no 11-12, 1223-1246 (2009). Pdf
[15] On
the global well-posedness of the Boussinesq system with zero
viscosity (with S. Keraani).
Indiana Univ. Math. J. 58 no. 4, 1591-1618, (2009). arXiv
[16] On the global
well-posedness of the Euler-Boussinesq system with fractional
dissipation (with M. Zerguine).
Physica D: Nonlinear Phenomena, 239 (2010), no 15,
1387-1401. Pdf
[17] Global
well-posedness for Euler-Boussinesq system with critical
dissipation (with S. Keraani and F. Rousset),
J. Differential Equations 249 (2010), no. 9, 2147–2174. arXiv
[18] Global
well-posedness for the Navier-Stokes-Boussinesq system with
axisymmetric data (with F. Rousset),
Ann. Inst. H. Poincaré Anal. Non Linéaire, 27 (2010), no. 5,
1227–1246. arXiv
[19] On
the global existence for the axisymmetric Euler equations (with H.
Abidi et S. Keraani).
Mathematische
Annalen 347, 1 (2010) 15--41. arXiv
[20]
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians
(with F. Nier and A. Mantile)
Math. Phys., Anal. Geom. 13 (2010) 83--103. arXiv
[21] On
a maximum principle and its application to logarithmically critical
Boussinesq system.
Analysis &
PDE,4-2 (2011) 247–284. arXiv
[22] On
the global regularity of axisymmetric Navier-Stokes-Boussinesq system
(with H. Abidi and S. Keraani),
Discrete Contin. Dyn. Syst. 29 ( 2011), no 3, 737-756. arXiv
[23] Global
well-posedness for a Boussinesq- Navier-Stokes
System with critical dissipation. (with S. Keraani and F. Rousset),
Communications in Partial
Differential Equations, 36 (2011), no 3, 420 – 445. arXiv
[24] Global
well-posedness for the Euler-Boussinesq system with axisymmetric data
(avec F. Rousset).
J. Functional
Analysis 260 (2011), no. 3, 745–796. arXiv
[25] Spectral distribution of the free Jacobi processs (with T. Hamdi et N.
Demni),
Indiana Univ. Math. J. 61
(2012), no. 3, 1351–1368. arXiv
[26] Low Mach number
limit for the isentropic Euler system with axisymmetric initial data.
Journal de l'institut de
Jussieu, 12 (2013) 02, 335-389. arXiv
[27]
Boundary regularity of rotating vortex patches (with J. Mateu
and J. Verdera)
Arch. for
Rational Mech. and Analysis, 209
(2013), no. 1, 171–208, arXiv
[28] Incompressible limit for the 2D isentropic Euler system with critical initial data
(with S. Sulaiman).
Proceedings of the
Royal Society of Edinburgh, 114 (2014)6, 1127--1154. arXiv
[29]
On the vortex patch problem for stratified Euler equations
(with M. Zerguine).
Commun.
Math. Sci. 12 (2014), no. 8, 1541–1563.
[30] Spectral
distribution of the free unitary Brownian motion (with N. Demni),
Séminaire de Probabilités,
XLIV,
191–206 (2014) Lecture Notes in Math., 2046, Springer.
Pdf
[31] Spectral
distribution of the free Jacobi process associated with one
projection (with N. Demni).
Colloq. Math. 137 (2014), no. 2, 271–296. arXiv
[32]
On the Yudovich solutions for the ideal MHD equations.
Nonlinearity 27 (2014), no. 12, 3117–3158. arXiv
[33]
On rotating doubly connected vortices (with J. Mateu and J.
Verdera).
J. Differential
Equations 258 (2015), no. 4, 1395–1429. arXiv
[34]
On the V-states for the generalized quasi-geostrophic equations (with
Z. Hassainia).
Comm. Math. Phys.
337 (2015), no. 1, 321–377. arXiv
[35]
On the global well-posedness for the 2d Euler equations with
unbounded vorticity (with F. Bernicot).
Dyn. Partial Differ. Equ., 12 (2015), no2. 127 – 155. arXiv
[36]
On the inviscid Boussinesq system with rough initial data (with Z.
Hassainia).
J. Math.
Anal. Appl. 430 (2015), no. 2, 777–809. arXiv arXiv
[37]
On the trivial solutions for the rotating patch model.
J. Evol. Equ. 15 (2015), no. 4, 801–816. arXiv
[38]
Doubly Connected V-States for the Planar Euler Equations (with
F. de la Hoz, J. Mateu, J. Verdera).
SIAM J. Math. Anal. 48 (2016), no. 3, 1892–1928. arXiv
[39] Doubly connected V-states
for the generalized surface quasi-geostrophic equations (with Z.
Hassainia and F. de la Hoz).
Arch. Ration. Mech. Anal. 220 (2016), no. 3, 1209–1281.
[40] Degenerate
bifurcation of rotating patches (with J. Mateu).
Adv. in Math. 302 (2016) 799-850. arXiv
[41] Bifurcation of rotating patches from Kirchhoff vortices.
Discrete Contin. Dyn. Syst. 36 (2016) no. 10, 5401--5422. arXiv
[42]
An analytical and numerical study of steady patches in the disc (with
de la Hoz, Hassainia, Mateu)
.
To appear in . Anal. PDE. arXi
[43]
Existence of corotating and counter-rotating vortex pairs for active
scalar equations ( with J. Mateu).
To apper in Comm. Math. Phys. arXiv
[44]
Small B_{\infty,\infty}−1
implies regularity
(with D. Li).
To
appear in Dyn. Partial Differ. Equ.
[C1]
The incompressible limit of solutions of the two-dimensional
compressible Euler system with degenerating initial data.
C. R. Math. Acad. Sci. Paris, 336 (2003) no 6, 471– 474.
[C2] Transport-diffusion et
viscosité évanescente.
C. R. Math. Acad. Sci. Paris, 337 (2003), no 5, 309-312.
Pdf
[C3] Limite non
visqueuse pour le système de Navier-Stokes dans un espace critique,
(with S. Keraani)
C. R.
Math. Acad. Sci. Paris, 338 (2004), no 9, 689-692.
Pdf
[C4] Régularité
höldérienne des poches de tourbillon régulière.
C. R. Math. Acad. Sci. Paris, 339 (2004), no 10,
705-708. Pdf
[C5] Existence
globale pour le système d'Euler incompressible 2-d dans
$B_{\infty,1}^1$ (with S. Keraani)
C. R. Math. Acad. Sci. Paris 341 (2005), no. 11, 655-658. Pdf
ARTICLE NON
PUBLIE
Transport-diffusion et viscosité
évanescente. Pdf