# Research Papers

Derivation of Batchelor-Green formula for random suspensions

Submitted.

On the correction to Einstein’s formula for the effective viscosity (with A. Mecherbet)

Submitted.

Optimal Prandtl expansion around a concave boundary layer (with Y. Maekawa and N. Masmoudi)

Submitted.

Mild assumptions for the Einstein’s effective viscosity formula (with R. Höfer)

To appear in Comm. Part. Diff. Eq.

Analysis of the viscosity of dilute suspensions beyond Einstein’s formula (with M. Hillairet)

To appear in Arch. Rat. Mech Anal.

Well-posedness of the Prandtl equation without any structural assumption (with H. Dietert)

To appear in Annals of PDE.

Well-posedness of the hydrostatic Navier-Stokes equations (with N. Masmoudi, V. Vicol)

To appear in Analysis & PDE.

Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations (with Y. Maekawa)

Arch. Rat. Mech. Anal. 233 (3) (2019), 1319–1382.

Gevrey stability of Prandtl expansions for 2d Navier-Stokes flows (with Y. Maekawa, N. Masmoudi)

Duke Math. J. 167 (13) (2018), 2531-2631.

Landau damping to partially locked states in the Kuramoto model (with H. Dietert, B. Fernandez)

Comm. Pure Appl. Math. 71 (5) (2018), 953-993.

The vanishing viscosity limit for 2D Navier-Stokes in a rough domain (with C. Lacave, T. NGuyen, F. Rousset)

J. Math. Pures Appl. Volume 119 (2018), 45-84.

High frequency analysis of the unsteady interactive boundary layer model (with A.-L. Dalibard, H. Dietert, F. Marbach)

SIAM J. Math. Anal 50 (4) (2017), 4203-4245.

Formal derivation and stability analysis of boundary layer models in MHD (with M. Prestipino)

Z. Angew. Math. Phys. 68 (3), Art. 76 (2017).

Wellposedness of linearized Taylor equations in magnetohydrodynamics (with I. Gallagher)

Shocks, singularities and oscillations in nonlinear optics and fluid mechanics. Springer INdAM Ser. 17, Springer (2017).

Nonlinear boundary layers for rotating fluids (with A-L. Dalibard)

Analysis & PDE 10 (1), 1-42 (2017).

Boundary layer for a non-newtonian flow over a rough surface (with A. Wroblewska-Kaminska)

SIAM J. Math. Anal. 48 (5), 3123–3147 (2016).

Landau damping in the Kuramoto model (with B. Fernandez, G. Giacomin)

Ann. Henri Poincaré 17 (7), 1793–1823 (2016).

Phénomène d’amortissement dans les équations d’Euler (d’après Bedrossian-Masmoudi)

Séminaire Bourbaki, 67ème anné, 2014-205, nº 1091.

Well-posedness for the Prandtl system without analyticity or monotonicity (with N. Masmoudi)

Ann. Sci. Ecole Norm. Sup. 48, Fascicule 6, 1273–1325 (2015).

The two-dimensional Euler equations on singular exterior domains (with C. Lacave)

Arch. Rat. Mech. Anal. 218,1609–1631 (2015).

Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II (with D. Han-Kwan, F. Rousset)

J. Ecole Polytechnique 1, 343–386 (2014).

Rough wall effect on micro-swimmers (with L. Giraldi)

ESAIM: Control, Optimisation and Calculus of Variations. 21, 757–788 (2015).

The influence of boundary conditions on the contact problem in a 3d Navier-Stokes flow (with M. Hillairet, C. Wang)

103, 1–38 (2015). Journal Math. Pures Appl.

Computation of the effective slip of rough hydrophobic surfaces via homogenization (with M. Bonnivard, A-L. Dalibard)

M3AS. M3AS 24, 2259–2285 (2014).

Existence of weak solutions up to collision for viscous fluid-solid systems with slip (with M. Hillairet)

Comm. Pure Appl. Math. 67, 2022–2075 (2014).

On shape optimization problems involving the fractional laplacian (with A-L. Dalibard)

ESAIM: Control, Optimisation and Calculus of Variations. 19, 976–1013 (2013).

Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries (with D. Han-Kwan, F. Rousset)

Indiana Univ. Math. Journal. 62, 359–402 (2013).

The 2D Euler equation on singular domains (with C. Lacave)

Arch. Rat. Mech. Anal. 209,131–170 (2013).

Multi-scale analysis of compressible viscous and rotating fluids (with E. Feireisl, I. Gallagher, A. Novotny)

Comm. Math. Phys. 314, 641–670 (2012).

Computation of the drag force on a rough sphere close to a wall (with M. Hillairet)

M2AN 46, 1201–1224 (2012).

Remarks on the ill-posedness of the Prandtl Equation (with T. NGuyen)

Asymptotic Analysis 77, 71–88 (2012).

Homogenization and boundary layers (with N. Masmoudi)

Acta Math. 209, 133-178 (2012).

Effective boundary condition at a rough surface starting from a slip condition (with A-L. Dalibard)

Journal of Differential Equations 251, 3297-3658 (2011).

Homogenization in polygonal domains (with N. Masmoudi)

J. Eur. Math. Soc.. 13, 1477-1503 (2011).

On the ill-posedness of the Prandtl equation (with E. Dormy)

J. Amer. Math. Soc. 23, 591-609 (2010).

Relevance of the slip condition for fluid flows near an irregular boundary (with N. Masmoudi)

Comm. Math. Phys. 295, 99-137 (2010).

Regularity issues in the problem of fluid structure interaction (with M. Hillairet)

Arch. Rat. Mech. Anal. 19, 375-407 (2010).

The Navier wall law at a boundary with random roughness

Comm. Math. Phys. 286, 81-110 (2009)

Time scales separation for dynamo action (with E. Dormy)

EuroPhysics Letter 81 64002 (2008).

Wall laws for fluid flows at a boundary with random roughness (with A. Basson)

Comm. Pure Applied Math. 61 No.7, 941-987 (2008)

Three-dimensional instability of planar flows (with F. Gallaire, F. Rousset)

Arch. Rat. Mech. Anal. 186, No.3, 423-475 (2007)

Remarks on boundary layer expansions (with T. Paul)

Comm. Partial Diff. Eq. 33, No.1-3, 97-130 (2008)

Weakly nonlinear analysis of the alpha effect

Geophysical and Astrophysical Fluid Dynamics 101, 171-184 (2007)

On compressible Navier-Stokes equations with density dependent viscosities in bounded domains (with D. Bresch, B. Desjardins)

J. Math. Pures Appl. 87 (9), 227-235 (2007)

Shear layer solutions of incompressible MHD and dynamo effect (with F. Rousset)

Ann. I. H. Poincaré / Anal. non lin. 24 (5), 677-710 (2007)

Homogenization problems from shallow water theory (with D. Bresch) *Appl. Math. Lett.* 20 no. 5, 505510 (2007)

Ekman layers near wavy boundaries (with E. Dormy)

J. Fluid Mech. 565, 115-134 (2006)

Derivation of the planetary geostrophic equations (with D. Bresch, E. Grenier)

Arch. Rat. Mech. Anal. 182, No.3, 387413 (2006)

Oscillating solutions of incompressible MHD and dynamo effect

SIAM Journal Math. Anal. 37, No.3, 815840 (2005).

Mathématiques Marines (with D. Bresch, B. Desjardins). La Recherche, Mars 2005.

About roughness-induced effects on the quasi-geostrophic model (with D. Bresch)

*Comm. Math. Phys*. 253, 179200. No.1, 81119 (2005).

Formal derivation of boundary layers in fluid mechanics.

</span> *J. Math. Fluid Mech.* 7 no. 2, 179200 (2005)

Rotating fluids in a cylinder (with D. Bresch, B. Desjardins)

*Disc.Cont.Dyn.Sys.- Series A *1, 4782, (2004).

Highly rotating fluids in rough domains*. J. Math. Pures Appl. *

**82**, 14531498 (2003).

A geometric optics type approach to fluid boundary layers*. Comm. Partial Diff. Eq*

**28**, 16051626 (2003).

Amplification of small perturbations in a Hartmann layer.

*Physics of Fluids* **14**, No. 4, 14581467 (2002).