# Faculty Profile

# Pierre Germain

Professor of Mathematics

pgermain@cims.nyu.edu

212-992-7346

Warren Weaver Hall, Office 711

## Education

Ph.D., Mathematics, Ecole Polytechnique, France, 2005.

M.S., Engineering, Ecole Nationale Supérieure des Télécommunications, France, 2003.

M.S., Mathematics, Ecole Polytechnique, France, 2001.

## Research Interests

My research focuses on evolution nonlinear partial differential equations, and more precisely on fluid mechanics and nonlinear dispersive equations. This includes in particular the equations of Navier-Stokes or Euler, water waves, as well as nonlinear Schrödinger or wave equations. These equations give rise to a great variety of questions: from existence and uniqueness of solutions, to their long time behavior or statistical description. A secondary domain of interest for me is harmonic analysis, which has deep connections with the partial differential equations just mentioned.

## Selected Publications

P. Germain, N. Masmoudi, and J. Shatah,
"Global solutions for the gravity water waves equation in dimension 3",
Annals of Mathematics
175, no. 2, 691-754 (2012)

P. Germain and N. Masmoudi,
"Global existence for the Euler-Maxwell system",
Annales Scientifiques de l'Ecole Normale Supérieur
(Forthcoming)

E. Faou, P. Germain, and Z. Hani,
"The weakly nonlinear large box limit of the 2D cubic nonlinear Schrödinger equation",
arXiv:1308.6267
(2013)