Nader Masmoudi

Professor, Mathematics Dept


Department of Mathematics
Courant Institute of Mathematical Sciences
New York University


Mail Address

251 Mercer St. New York, NY 10012, U.S.A.

Phones

212.998.3211 (voice) 212.995.4121 (fax)

Email

masmoudi@cims.nyu.edu

Teaching

ODE 08
Homogenization and boundary layers
Complex variables (Fall 08)
DIFFERENTIAL GEOMETRY I (Fall 09)
Sobolev Spaces and Interpolation (Spring 2010)
Analysis I (Spring 10)
Free Boundries and Boundary Layers (Fall 11)
Functional Analysis (Spring 12)
Hydrodynamic Stability (Fall 13)

Most Recent Preprints (mostly submitted)

Many recents Preprints can be found on the Arxiv

(accepted in 2014)

ON THE CONSTRUCTION OF BOUNDARY LAYERS IN THE COMPRESSIBLE-INCOMPRESSIBLE LIMIT (with Ning Jiang to appear in JMPA)
>
Existence, Uniqueness and Lipschitz Dependence for Patlak-Keller-Segel and Navier-Stokes in R2 with Measure-valued Initial Data . (with Jacob Bedrossian, to appear in ARMA.)

Most Recent Preprints (accepted in 2013)


Asymptotic Analysis of Acoustic Waves in a Porous Medium: Micro-Incompressible Flow (with Jose-Diaz Alban, to appear in CPDE)

On Uniqueness for supercritical nonlinear wave and Schrödinger equations . with Mohamed Majdoub to appear in IMRN (journal version).

Permeability through a perforated domain for the incompressible 2D Euler equations . with Virginie Bonnaillie-Noel and Christophe Lacave, to appear in Annales de l'IHP

Well-posedness of compressible Euler equations in a physical vacuum . with Juhi Jang to appear in CPAM

Global existence for capillary water waves . with P. Germain and J. Shatah (to appear in CPAM)

Global existence for the Euler-Maxwell system . with P. Germain (to appear in Annales de l'ENS)

A new approach to velocity averaging lemmas in {B}esov spaces . with Diogo Arsenio (to appear in Journal de Mathematiques Pures et Appliquees) (journal version).

Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods . with Tak Kwong Wong (to appear in CPAM)

Lack of compactness in the 2D critical Sobolev embedding, the general case . with Hajer Bahouri and Mohamed Majdoub (to appear in JMPA)

Multifrequency NLS Scaling for a Model Equation of Gravity-Capillary Waves . with Kenji Nakanishi (to appear in CPAM) (journal version)

Adams' inequality with the exact growth condition in R4 . with Federica Sani (to appear in CPAM) (journal version)

Well-Posedness and Uniform Bounds for a Nonlocal Third Order Evolution Operator on an Infinite Wedge. with (Knupfer, Hans) Comm. Math. Phys.

Trudinger-Moser inequality on the whole plane with the exact growth condition . with Slim Ibrahim and Kenji Nakanishi to appear in JEMS

Threshold solutions in the case of mass-shift for the critical Kline-Gordon equation . with Slim Ibrahim and Kenji Nakanishi to appear in PAMS

Recent Preprints (submitted and/or accepted)




Existence, Uniqueness and Lipschitz Dependence for Patlak-Keller-Segel and Navier-Stokes in R2 with Measure-valued Initial Data . with Jacob Bedrossian

Darcy's flow with prescribed contact angle -- Well-posedness and lubrication approximation . with Hans Knupfer

Non-neutral global solutions for the electron Euler-Poisson system in 3D . with Pierre Germain and Benoit Pausader (to appear in SIMA)

Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations . with Frederic Rousset

Unconditional well-posedness for wave maps . with Fabrice Planchon (journal version)

The Spherical Harmonics Expansion model coupled to the Poisson equation . with Haskovec, Jan and Schmeiser, Christian and Tayeb, Mohamed Lazhar in Kinet. Relat. Models (dedicated to the memory of N. Ben Abdallah)

Some Recent Preprints (recently accepted)


On the Hs Theory of Hydrostatic Euler Equations . with Tak Kwong Wong (to appear in ARMA) (journal version)

Uniform regularity for the Navier-Stokes equation with Navier boundary condition . with Frederic Rousset (to appear in ARMA) (journal version)

Homogenization and boundary layer . with Gerard-Varet David (to appear in Acta. Math) (journal version)

Well-posedness of compressible Euler equations in a physical vacuum . with Juhi Jang

Generating and Adding Flows on Locally Complete Metric Spaces. with Hwakil Kim (to appear in Dynamics and Differential Equations)

Global existence of weak solutions to macroscopic models of polymeric flows. (to appear in JMPA)

Global existence of weak solutions to the FENE dumbbell model of polymeric flows. (new version, to appear in Invent. Math) (journal version)

On the lack of compactness in the 2D critical Sobolev embedding . with Hajer Bahouri and Mohamed Majdoub, (to appear in JFA) (journal version)

Global solutions for 2D quadratic Schrodinger equations . with Pierre Germain and Jalal Shatah (to appear in JMPA).

Global Solutions for the Gravity Water Waves Equation in Dimension 3 . with Pierre Germain and Jalal Shatah (to appear in Annales of Math). (journal version)

Diffusion limit of the Vlasov-Poisson-Fokker-Planck system . with Najoua El Ghani (to appear in CMS)

Remarks on the Acoustic Limit for the Boltzmann Equation . with Ning Jiang and C. David Levermore (to appear in CPDE)

From the Boltzmann Equation to an Incompressible Navier-Stokes-Fourier System . with C. David Levermore (to appear in ARMA)

Global well posedness for the Maxwell-Navier-Stokes system in 2D (to appear in JMPA)

Remarks on the blowup criteria for Oldroyd models . with Lei, Zhen and Zhou, Yi (to appear in JDE)

Global well-posedness for 2D polymeric fluid models and growth estimate with Ping Zhang, Zhifei Zhang (Physica D: Nonlinear Phenomena)

Scattering threshold for the focusing nonlinear Klein-Gordon equation . with Slim Ibrahim and Kenji Nakanishi (to appear in Analysis and PDE)

Well and ill-posedness issues for energy supercritical waves . with Slim Ibrahim and Mohamed Majdoub (to appear in Analysis and PDE)

Relevance of the slip condition for fluid flows near an irregular boundary . with Gerard-Varet David (to appear in CMP)

Homogenization in polygonal domains . with Gerard-Varet David (to appear in JEMS)


Preprints


From the Klein-Gordon Zakharov system to a singular nonlinear Schrodinger system . with Kenji Nakanishi (to appear in Annales de l IHP (C) Non Linear Analysis)

Two asymptotic problems for a singular nonlinear Schrodinger system . with Kenji Nakanishi (to appear in Amer. J of math)

Uniqueness of solutions for Zakharov systems . with Kenji Nakanishi (Funkcial. Ekvac)

Well-posedness for compressible Euler with physical vacuum singularity . with Juhi Jang (CPAM)

Energy Critical NLS in two space dimensions . with J.~Colliander, S.~Ibrahim et M. Majdoub (J. Hyperbolic Differ. Equ)

Energy scattering for 2D critical wave equation . with S.~Ibrahim, M. Majdoub and K. Nakanishi (Duke Math. J)
Global solutions for 3D quadratic Schrodinger equations . with P. Geramain and J. Shatah (IMRN)
Diffusion limit of a semiconductor Boltzmann-Poisson system without micro-reversible process. with L. Tayeb

From the Boltzmann Equation to an Incompressible > Navier-Stokes-Fourier System . with D. Levermore (older version)

Stability of oscillating boundary layers in rotating fluids. with Frederic Rousset (to appear in Annales de l'ENS)

Blow-up profile for the Complex Ginzburg-Landau equation. with Hatem Zaag (to appear in JFA)

Preprints


Well posedness for the {FENE} dumbbell model of polymeric flows. (to appear in CPAM) talk

Global existence of weak solutions to micro-macro models . with P.-L. Lions to appear in C. R. Math. Acad. Sci. Paris

Diffusion and Homogenization approximation for semiconductor Boltzmann-Poisson system (to appear in JHDE). with L. Tayeb

Energy convergence for singular limits of Zakharov type systems (to appear in Invent. Math). with Kenji Nakanishi

Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in $2$D (to appear in CMP). with Peter Constantin

Infinite Time Aggregation for the Critical \\ Patlak-Keller-Segel model in $\RR^2$ . with A. Blanchet and J. Carrillo (to appear in CPAM) talk

Well posedness of 3D vortex sheets with surface tension . with D. Ambrose

Preprints

Remarks about the inviscid limit of the Navier-Stokes system. to appear in Comm. Math. Phys

Diffusion limit of a semiconductor Boltzmann-Poisson system. with L. Tayeb to appear in SIAM Journal of Mathematical Analysis

On uniqueness for the critical wave equation. with F. Planchon to appear in CPDE

GLOBAL SOLUTIONS FOR A SEMILINEAR 2D KLEIN-GORDON EQUATION WITH EXPONENTIAL TYPE NONLINEARITY . with S. Ibrahim and M. Majdoub. To appear in CPAM

Double Logarithmic Inequality With a Sharp Constant . with S. Ibrahim and M. Majdoub. To appear in Proc of the AMS

Examples of singular limits in hydrodynamics . (103 pages) to appear in Handbook of Diff Equations. To order the volume.