Version francaise

Pierre Germain

Courant Institute of Mathematical Sciences
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 CV.

I defended in 2005 my PhD, which I had prepared under the supervision of Isabelle Gallagher; I defended in 2008 my "Habilitation a diriger des recherches".

I am since September 2010 an Assistant Professor at the Courant Institute.



Publications:

- Equations de Navier-Stokes en deux dimensions : existence et comportement asymptotique de solutions d'energie infinie, Bull. Sci. Math. 130 (2006), no. 2, 123--151.

- Multipliers, Paramultipliers, and weak-strong uniqueness for the Navier-Stokes equations, J. Differential Equations 226 (2006), no. 2, 373--428

- Regularity of solutions to the Navier-Stokes equations evolving from small data in BMO-1 , with Natasa Pavlovic and Gigliola Staffilani, Int. Math. Res. Not. IMRN 2007, no. 21.

- Finite energy scattering for the Lorentz-Maxwell equation, Ann. Henri Poincare 9 (2008), no. 5, 927--943.

- Global infinite energy solutions of the critical semilinear wave equation, Rev. Mat. Iberoam. 24 (2008), no. 2, 463--497.

- Strong solutions and weak-strong uniqueness for the nonhomogeneous Navier-Stokes equation, J. Anal. Math. 105 (2008), 169--196.

- Besov spaces and self-similar solutions for the wave-map equation., Comm. Partial Differential Equations 33 (2008), no. 7-9, 1571--1596.

- The second iterate for the Navier-Stokes equation, J. Funct. Anal. 255 (2008), no. 9, 2248--2264.

- On the existence of smooth self-similar blow up profiles for the wave map equation, Comm. Pure Appl. Math. 62 (2009), no. 5, 706--728.

- Global solutions for 3D quadratic Schroedinger equations, with Nader Masmoudi and Jalal Shatah, Int. Math. Res. Not. IMRN 2009, no. 3, 414--432.

- Self-similar solutions for the Schroedinger map equation, with Jalal Shatah and Chongchun Zeng, Math. Z. 264 (2010), no. 3, 697--707.

- Weak-strong uniqueness for the isentropic compressible Navier-Stokes system, J. Math. Fluid Mech. 13 (2011), no. 1, 137--146.

- Bilinear oscillatory integrals and boundedness for new bilinear multipliers, with Frederic Bernicot, Adv. Math. 225 (2010), no. 4, 1739--1785.

- Global solutions for the gravity water waves equation in dimension 3 (note announcing the result), with Nader Masmoudi and Jalal Shatah, C. R. Math. Acad. Sci. Paris 347 (2009), no. 15-16, 897--902.

- Global solutions for the gravity water waves equation in dimension 3 (full article), with Nader Masmoudi and Jalal Shatah, accepted by Ann. of Math.

- Global solutions for 2D quadratic Schroedinger equations, with Nader Masmoudi and Jalal Shatah, accepted by J. Math. Pures Appl.

- Global solutions for coupled Klein-Gordon equations with different speeds, accepted by Annales de l'Institut Fourier.

- Space-time resonances (expository article).

- Self-similar expanders of the harmonic map flow, with Melanie Rupflin, accepted by Ann. Henri Poincare.

- 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.