Version francaise

New York University

251 Mercer Street

New York, N.Y. 10012-1185

pgermain@cims.nyu.edu

Research domains: fluid mechanics, nonlinear wave equations, harmonic analysis.

Here is my

I defended in 2005 my

Since January 2015, I am an Associate Professor at the

I am an editor for

Current PhD students

Domingos Lopes

List of publications (most of which can be found on

- Equations de Navier-Stokes en deux dimensions : existence et comportement asymptotique de solutions d'energie infinie,

- Multipliers, Paramultipliers, and weak-strong uniqueness for the Navier-Stokes equations,

- Regularity of solutions to the Navier-Stokes equations evolving from small data in BMO-1, with Natasa Pavlovic and Gigliola Staffilani,

- Finite energy scattering for the Lorentz-Maxwell equation,

- Global infinite energy solutions of the critical semilinear wave equation,

- Strong solutions and weak-strong uniqueness for the nonhomogeneous Navier-Stokes equation,

- Besov spaces and self-similar solutions for the wave-map equation,

- The second iterate for the Navier-Stokes equation,

- On the existence of smooth self-similar blow up profiles for the wave map equation,

- Global solutions for 3D quadratic Schroedinger equations, with Nader Masmoudi and Jalal Shatah,

- Self-similar solutions for the Schroedinger map equation, with Jalal Shatah and Chongchun Zeng,

- Weak-strong uniqueness for the isentropic compressible Navier-Stokes system,

- Bilinear oscillatory integrals and boundedness for new bilinear multipliers, with Frederic Bernicot,

- Global solutions for the gravity water waves equation in dimension 3(note announcing the result), with Nader Masmoudi and Jalal Shatah,

- Global solutions for the gravity water waves equation in dimension 3 (full article), with Nader Masmoudi and Jalal Shatah,

- Global solutions for 2D quadratic Schroedinger equations, with Nader Masmoudi and Jalal Shatah,

- Global solutions for coupled Klein-Gordon equations with different speeds,

- Space-time resonances, Exp. No 8,

- Self-similar expanders of the harmonic map flow, with Melanie Rupflin,

- Boundedness of bilinear multipliers whose symbols have a narrow support, with Frederic Bernicot,

- Global existence for the Euler-Maxwell system, with Nader Masmoudi,

- On the open sea propagation of water waves generated by a moving bed, with Adrian Constantin,

- Bilinear dispersive estimates via space time resonances. Part I: the one-dimensional case, with Frederic Bernicot,

- Non-neutral global solutions for the electron Euler-Poisson system in 3D, with Nader Masmoudi and Benoit Pausader,

- Well-posedness of the Navier-Stokes-Maxwell equations, with Slim Ibrahim and Nader Masmoudi,

- Global existence for capillary water-waves, with Nader Masmoudi and Jalal Shatah,

- The finite energy method for compressible fluids. The Navier-Stokes-Korteweg model, with Philippe LeFloch.

- Instability of some equatorially trapped waves, with Adrian Constantin.

- Nonlinear resonances with a potential: multilinear estimates and an application to NLS, with Zaher Hani and Sam Walsh.

- The weakly nonlinear large box limit of the 2D cubic nonlinear Schrodinger equation, with Erwan Faou and Zaher Hani.

- Bilinear dispersive estimates via space-time resonances, part II: dimensions 2 and 3, with Frederic Bernicot,

- An extension of the Derrida-Lebowitz-Speer-Spohn equation, with Charles Bordenave.

- On the continuous resonant equation for NLS: I. Deterministic analysis, with Laurent Thomann and Zaher Hani.

- On the continuous resonant equation for NLS: II. Statistical analysis, with Laurent Thomann and Zaher Hani.

- Asymptotic stability of solitons for mKdV, with Fabio Pusateri and Frederic Rousset.

- Dynamics near the subcritical transition of the 3D Couette flow I: Below threshold case, with Jacob Bedrossian and Nader Masmoudi.

- Dynamics near the subcritical transition of the 3D Couette flow I: Above threshold case, with Jacob Bedrossian and Nader Masmoudi.