Web page of Benoît Pausader
Benoît Pausader
born October 03, 1982, Toulouse (France).
French.
Mathematics Department, Box 1917
Brown University
Providence, RI 02912
USA,
Office 311.
Telephone: (401) 863 7965.
You can contact me at benoit.pausader"@"math.brown.edu.
Fields of interest:
Nonlinear dispersive equations:
- Fourth order equations, see here for more information.
- Dispersive equations and geometry
Fluid mechanics:
- water waves
- Euler-Maxwell equations.
- Lubrication and thin films.
Studies:
2002: École normale supérieure
de Lyon.
2005: Agrégation de mathématiques.
2008: PhD defense, director: Emmanuel Hebey, university: université de Cergy-Pontoise.
Positions:
2006: Assistant moniteur normalien Cergy-Pontoise university.
2008: Tamarkin assistant professor, Brown university.
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] (with W.A. Strauss), Analyticity of
the nonlinear scattering operator,
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] (with S. Shao) The mass-critical fourth-order Schrödinger equation in high dimensions,
J. Hyp. Diff. Equ, 7 (2010), no. 4, 651-705. arXiv.
[8] (with J.C. Jiang and S. Shao) The linear profile decomposition for the fourth order Schrödinger equation,
J. Differential Equations 249 (2010) 2521–2547. arXiv.
[9] (with Y. Guo) Global Smooth Ion Dynamics in the Euler-Poisson System,
Comm. Math. Phys. 303 (2011), 89-125. arXiv.
[10] (with A. Ionescu and G. Staffilani) On the global well-posedness of energy-critical Schrödinger equations in curved spaces,
Analysis and PDE, to appear, arXiv.
Preprints:
[11] (with A. Ionescu) Global well-posedness of the energy-critical defocusing NLS on RxT^3, 2011, arXiv.
[12] (with A. Ionescu) The energy-critical defocusing NLS on T^3, 2011, arXiv.
Here, you can download my CV.
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.
Other links:
Some friends: Christophe Lacave, Evelyne Miot and Aurélien Monteillet were student with me, Jérome
Vétois, also a student of Emmanuel
Hebey.
The web page of T.Tao always full of useful information.
A great association: Math.En.Jean.
The Société
Mathématique de France (SMF).
The Fondation science mathematiques de Paris.
The American Mathematical Society.
Finally Arxiv.