Research Page of Fabio Pusateri
I am an Assistant Professor at Princeton University.
My interests are Nonlinear Dispersive and Wave Equations, Harmonic Analysis, Fluid Dynamics, Hamiltonian Dynamics.
CV
Papers
  -  
By topic + abstracts  
click here
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On the global behavior of weak null quasilinear wave equations
(link to
ArXiv
version)
- with
Y. Deng - 48 pages.
-
Recent advances on the global regularity for water waves
(link to
ArXiv version)
- with
A. Ionescu
- 28 pages Philos. Trans. Roy. Soc. A. (2018), vol 376, issue 2111.
-
The nonlinear Schrödinger equation with a potential in dimension 1
(link to
ArXiv version)
- with
P. Germain
and
F. Rousset
- 55 pages.
To appear in Ann. Inst. H. Poincaré C.
-
On the Global Stability of a Beta-Plane Equation
(link to
ArXiv version)
- with
K. Widmayer - 38 pages. To appear in Analysis & PDE.
-
Global solutions of the gravity-capillary water wave system in 3 dimensions
(link to
ArXiv
version)
- with
Y. Deng,
A. Ionescu
and
B. Pausader
- Acta Mathematica 219 (2017), no. 2, 213-402.
-
Almost global existence for cubic nonlinear Schrödinger equations in one space dimension
(link to
ArXiv
version)
- with J. Murphy -
DCDS-A (2017), vol. 37, 2077-2102.
-
Asymptotic stability of solitons for mKdV
(link to
ArXiv
version)
- with
P. Germain
and
F. Rousset
- Advances in Mathematics (2016), vol. 299, 272-330.
-
Global regularity for 2d water waves with surface tension
(link to
ArXiv version)
- with
A. Ionescu
- 100 pages. To appear in Memoirs of the American Mathematical Society.
-
Global analysis of a model for capillary water waves in 2D
(link to
ArXiv version)
- with A. Ionescu
- Comm. Pure Appl. Math. 69 (2016), no. 11, 2015-2071.
-
A note on the asymptotic behavior of 2d gravity water waves
- with A. Ionescu.
-
Global solutions for the gravity water waves system in 2d
(link to ArXiv version)
- with A. Ionescu
-
Inventiones Mathematicae 199 (2015), no. 3, 653-804.
-
Decay and scattering for the Chern-Simons-Schrödinger system
(link to
ArXiv version) -
with S.-J. Oh
- Int. Math. Res. Notices (2015), no. 24, 13122-13147.
-
On Global Solutions of a Zakharov type System
(link to ArXiv version)
- with
T. Beck,
P. Sosoe
and
P. Wong
- Nonlinearity 28 (2015), no. 9, 3419-3441.
-
Modified scattering for the Boson Star equation
(link to ArXiv version)
-
Comm. Math. Phys. 332 (2014), no. 3, 1203-1234.
-
Nonlinear fractional Schrödinger equations in one dimension
(link to ArXiv version)
- with A. Ionescu
-
Journal of Functional Analysis 266 (2014), no. 1, 139-176.
-
Scattering for the Zakharov system in 3 dimensions
(link to ArXiv version)
- with Z. Hani
and
J. Shatah
-
Comm. Math. Phys. 322 (2013), no. 3, 731-753.
-
Space-time resonances and the null condition for first order systems of wave equations
(link to ArXiv version)
- with
J. Shatah
-
Comm. Pure Appl. Math. 66 (2013), no. 10, 1495-1540.
-
Space-Time Resonances and the null condition for wave equations
- Boll. Uni. Mat. Ita. 6 (2013), no.3, 513-529.
-
On the limit as the surface tension and density ratio tend to zero for
the two-phase Euler equations
(link to ArXiv version)
- J. Hyperbolic Differ. Equ. 8 (2011), no. 2, 347-373.
-
A new proof of long range scattering for critical nonlinear Schrödinger equations
(link to ArXiv version)
- with J. Kato
- Differential and Integral Equations 24 (2011), no. 9-10, 923-940.
-
On the one fluid limit for vortex sheets
- arXiv 2009, 20 pages
-
Analytic Lagrangian tori for the planetary many-body problem
(link to ArXiv version)
- with
L. Chierchia -
Ergodic Theory and Dynamical Systems 29 (2009), no. 3, 849-873.
Please note that .pdf files are usually more up to date than the
ArXiv versions.
Link to Publications on ArXiv
- MathSciNet
- Scholar
Miscellanea
Fellowships and Awards
NSF Grant
DMS 1265875
Simons Postdoctoral Fellowship at Princeton University for 2011-2014
Dean's Dissertation Fellowship for the AY 2010-2011
McCracken Fellowship for the AYs 2006-2011
Selected Conferences and Talks
Upcoming
Nonlinear Wave Equations in honor of Walter Strauss' 80th birthday
(Brown University, May 2018)
Past
A Conference on PDEs: Celebrating the Contributions of Fanghua Lin and Jalal Shatah
(Abu Dhabi, UAE, Jan 2018)
Analysis and Dynamics (in celebration of Luigi Chierchia's 60th birthday, Lecce, Italy, October 12-15 2017)
AMS sectional meeting
(Buffalo, September 16-17 2017)
Nonlinear Waves and Dispersive Equations
(Oberwolfach, Germany, June 11-17 2017)
Water Waves and Related Models Conference
(Bodega Marine Lab, CA, June 5-9 2017)
ICERM workshop on ``Water Waves''
(ICERM, Providence, Apr 24-28 2017)
10th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena
(UGA, March 2017)
Rice University, Colloquium (Feb 2017)
University of Toronto, Colloquium (Jan 2017)
University of Wisconsin, Colloquium (Jan 2017)
UCSB, Colloquium (Jan 2017)
University of Pennsylvania Analysis Seminar (Nov 2016)
Johns Hopkins University Analysis Seminar (Sept 2016)
MIT PDE-FRG Workshop
(Sept 2016)
SIAM Conference
on
Nonlinear Waves and Coherent Structures
(Philadelphia, Aug 2016)
AIMS conference
on
Dynamical Systems, Differential Equations and Applications
(Orlando, July 2016)
Invited speaker at
Nonlinear Waves conference
(IHES, France, June 2016)
Nonlinear Evolution Problems (Oberwolfach, Germany, May 2016)
Courant Institute/NYU Analysis Seminar (March 2016)
Rutgers University Nonlinear Analysis Seminar (March 2016)
Mathematical Analysis, Modelling, and Applications, SISSA
(Trieste, Italy, Jan 2015)
Cuny Analysis and PDE seminar
(New York, Dec 2015)
Clay Workshop on Water Waves and Related Fluid Models
(Clay Mathematical Institute, Oxford Sept 2015)
AMS sectional meeting (Georgetown, DC Mar 2015)
Brown University RTG Workshop on PDEs for Fluids (Feb 2015)
UCLA-Caltech Analysis and PDE seminar (Nov 2014)
AMS Meeting (San Francisco, 25-26 October 2014)
UCLA Analysis and PDE seminar (May 2014)
Chicago University Calderon-Zygmund Analysis seminar (May 2014)
Dynamics in Geometric Dispersive Equations (Banff, Canada, May 4-9, 2014)
University of Pennsylvania Analysis Seminar (April 2014)
University of Minnesota Analysis and PDE seminar (January 2014)
Georgia Tech Analysis Seminar (December 2013)
University of Michigan Differential Equations seminar (October 2013)
Brown University PDE seminar (September 2013)
Nonlinear Waves and Dispersive Equations (Oberwolfach, Germany, August 12-17, 2013)
UCLA Analysis and PDEs seminar (May 2013)
Courant Institute/NYU Analysis Seminar (May 2013)
Siam SEAS Annual Meeting (Knoxville, Tennessee, March 22-24, 2013)
New perspectives in nonlinear PDEs
(Rome, Italy, September 24-28, 2012)
Princeton University Analysis Seminar (September 2012)
Nonlinear Hamiltonian PDEs
(Ascona, Switzerland, July 1-6, 2012)
University of Pennsylvania Analysis Seminar (Dec 2011)
Invited speaker at
XIX UMI Congress
(Bologna, Italy, Sept 2011)
Attended
Nonlinear dispersive PDE
(Zurich, Switzerland, 6-11 June 2011)
Invited speaker
Harrington Symposium on Dispersive PDEs
(Austin, Tx, 29-30 April 2011)
Princeton University Analysis Seminar (April 2011)
Brown University PDE Seminar (Oct 2010)
University of Roma Tre Analysis Seminar (June 2010)
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