**Papers and preprints**

**Articles:**

[1] Scattering and the
Levandosky-Strauss conjecture for fourth order nonlinear wave
equations,

J. Differential Equations, 241 (2), (2007),
237-278.

[2] Global well-posedness for energy critical
fourth-order Schrödinger equations in the radial case,

Dynamics
of PDE, 4 (3), (2007), 197-225.

[3] The focusing energy-critical
fourth-order Schrödinger equation with radial data,

DCDS-A, 24
(2009), 4, 1275-1292.

[4] The cubic fourth-order Schrödinger
equation,

J. Funct. Anal., 256 (2009), 8, 2473-2517, arXiv.

[5]
Analyticity of the nonlinear scattering operator, (with W.A.
Strauss),

Discrete Contin. Dyn. Syst. 25 (2009), no. 2,
617-626.

[6] Scattering for the Beam equation in low
dimensions,

Indiana Univ. Math. J., 59 (2010), no. 3, 791-822,
arXiv.

[7]
The mass-critical fourth-order Schrödinger equation in high
dimensions, (with S. Shao),

J. Hyp. Diff. Equ, 7 (2010), no. 4,
651-705, arXiv.

[8]
The linear profile decomposition for the fourth order Schrödinger
equation, (with J.C. Jiang and S. Shao)

J. Differential Equations
249 (2010) 2521-2547, arXiv.

[9]
Global Smooth Ion Dynamics in the Euler-Poisson System, (with Y.
Guo),

Comm. Math. Phys. 303 (2011), 89-125, arXiv.

[10]
On the global well-posedness of energy-critical Schrödinger
equations in curved spaces, (with A. Ionescu and G. Staffilani),

Analysis and PDE, Vol. 5 (2012), no. 4, 705-746, arXiv.

[11]
Global well-posedness of the energy-critical defocusing NLS on RxT^3,
(with A. Ionescu),

Comm. Math. Phys., 312 (2012), no. 3, 781-831,
arXiv.

[12]
The energy-critical defocusing NLS on T^3, (with A. Ionescu),

Duke
Math. J., 161 (2012), no. 8, 1581-1612, arXiv.

[13]
The Euler-Poisson system in 2D: global stability of the constant
equilibrium solution (with A. Ionescu),

Int. Math. Res. Not., 2013
(2013), 761-826, arXiv.

[14]
Non-neutral global solutions for the electron Euler-Poisson system in
3D (with P. Germain and N. Masmoudi),

SIMA, 45-1 (2013), 267-278,
arXiv.

[15]
Dynamics of particle settling and resuspension in viscous liquids
(with N. Murisic, D. Peschka and A.L. Bertozzi),

J. Fluid. Mech.,
717 (2013), 203-231.

[16] On scattering for the quintic defocusing
nonlinear Schrödinger equation on RxT^2 (with Z. Hani),

CPAM, 67
(2014), no. 9, 1466-1542, arXiv.

[17]
Global solutions of quasilinear systems of Klein-Gordon equations in
3D (with A. Ionescu),

JEMS, 16, (2014), no. 11, 2355-2431,
arXiv.

[18]
Global regularity for the energy-critical NLS on S^3 (with N.
Tzvetkov and X. Wang),

Ann. I.H.P., Analyse non lin., 31 (2014),
no. 2, 315-338, arXiv.

[19]
Scattering Theory for the fourth-order Schrödinger equation in low
dimensions (with S. Xia),

Nonlinearity, 26 (2013), no. 8,
2175-2191.

[20] Topography influence on the lake equation in
bounded domains (with C. Lacave and T. N'Guyen),

J. Math. Fluid.
Mech., 16 (2014), no. 2, 375-406, arXiv.

[21]
Global solutions of certain plasma fluid models in 3D (with Y. Guo
and A. Ionescu),

J. Math. Phys. 55, 123102 (2014).

[22]
Modified scattering for the cubic nonlinear Schrödinger equation on
product space and applications (with Z. Hani, N. Tzvetkov and N.
Visciglia),

Forum of Mathematics, Pi, Vol. 3 / 2015, e4, arXiv.

[23] Global solutions of the Euler-Maxwell two-fluid system in 3D (with Y. Guo and A.
Ionescu),

Ann. of Math. (2) 183 (2016), no. 2, 377-498, arXiv.

[24] Discrete Schrödinger equation and ill-posedness for the Euler equation (with I.J. Jeong),

Discrete Contin. Dyn. Syst. 37 (2017), no. 1, 281-293, paper.

[25] The Euler-Maxwell system for electrons: global solutions in 2D (with Y. Deng and A. Ionescu),

Arch. Ration. Mech. Anal. 225 (2017), no. 2, 771–871, arXiv.

[26] Global solutions of the capillary-gravity water wave system in 3 dimensions (with Y. Deng, A. Ionescu and F. Pusateri),

Acta Math. Vol. 219., No 2, (2017), 213--402., arXiv.

[27] On the global regularity for a Wave-Klein-Gordon coupled system (with A. Ionescu), Acta. Math. Sin.-English Ser. (2019) 35: 933, arXiv

[28] The profile decomposition for the hyperbolic Schrödinger equation (with B. Dodson, J. Marzuola and D. Spirn), Ill. J. Of Math., arXiv

[29] Derivation of the ion equation (with E. Grenier, Y. Guo and M. Suzuki). Quarterly of Applied Math., to appear.

**Preprints:**

[30] Global stability of solutions of the Einstein-Klein-Gordon system: a review. (with A. Ionescu).

[31] A paradifferential approach for well-posedness of the Muskat problem (with H. Ngyuen).

**Here, you can download my ****PhD
dissertation****.**

**Expository texts:**

[1] An
introduction to fourth order nonlinear wave equations, with E.
Hebey,__FourthOrderWaves.pdf__ ,
48 pages, 2008. Unpublished.

[2] Scattering for the Beam equation,
Proceedings of GDR "équations aux dérivées partielles",
Evian, 2008.