Professor of Mathematics
Warren Weaver Hall, Office 711
Ph.D., Mathematics, Ecole Polytechnique, France, 2005.
M.S., Engineering, Ecole Nationale Supérieure des Télécommunications, France, 2003.
M.S., Mathematics, Ecole Polytechnique, France, 2001.
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.
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
E. Faou, P. Germain, and Z. Hani,
"The weakly nonlinear large box limit of the 2D cubic nonlinear Schrödinger equation",