**Huy Nguyen**

Fine Hall, Washington Road

Princeton,
NJ 08544-1000

Office:
210 Fine Hall

Email:
qn@math.princeton.edu

I
am a Postdoctoral Research Associate and Lecturer in Mathematics. My
postdoctoral mentor is Professor Peter Constantin. I completed
my Ph.D. in July, 2016 under the supervision of Professor Nicolas Burq
at University Paris-Sud. My Ph.D. dissertation was devoted to mathematical
analysis for water waves. My CV.

I
am a co-organizer of the Analysis
of Fluids and Related Topics seminar at Princeton this year.

**Research**

My
research area is Partial Differential Equations. I am currently interested in
problems arising in fluid dynamics such as: water waves, the surface
quasi-geostrophic equation, drop formation, shallow water waves, compressible Navier-Stokes equations. Below are my publications and
preprints.

12. P. Constantin, T. Elgindi,
H. Nguyen, V. Vicol**. On singularity formation
in a Hele-Shaw model**, submitted.

11. P. Constantin, H. Q. Nguyen**. Local and global strong solutions
for SQG in bounded domains**. Physica D,
Special Issue in Honor of Edriss Titi,
accepted (2017). ** **

10. H. Q. Nguyen**. Global weak solutions for generalized
SQG in bounded domains. **Analysis
& PDE, accepted (2017)*.*** **

9. P. Constantin, H. Q. Nguyen**. Global weak solutions for SQG in
bounded domains.** Communication on Pure and Applied Mathematics,
accepted (2017).

8. H. Q. Nguyen. **Sharp Strichartz estimates for water waves
systems**. Transactions of the American Mathematical Society,
accepted (2017).

7. H. Q. Nguyen**. A sharp Cauchy theory for 2D
gravity-capillary water waves**. Annales
de l'Institut Henri Poincare (C) Analyse
Non Lineaire, accepted (2016).

6. T. de Poyferre,
H. Q. Nguyen. **Strichartz estimates and local existence for the
gravity-capillary water waves with non-Lipschitz initial velocity**.
Journal of Differential Equations, 261(1) 396-438, 2016.

5. T. de Poyferre,
H. Q. Nguyen. **A paradifferential reduction for the
gravity-capillary waves system at low regularity and applications**.
Bulletin de la Societe Mathematique
de France, accepted (2016).

4. H. Q. Nguyen**. A pseudo-local property of gravity water
waves system**. SIAM Journal of Mathematical Analysis, 48(3)
1988-2027, 2016.

3. H. Q. Nguyen. **Hadamard well-posedness of
the gravity water waves system**. Journal of Hyperbolic
Differential Equations, 13(4) 791-820, 2016.

2. H. Q. Nguyen**. Non
uniformly elliptic equations with non-uniformly p-superlinear
nonlinearities**. Differential and Integral Equations, 27(9)
977-1000, 2014.

1. D. M. Duc,
H. Q. Nguyen. **Non-uniformly
asymptotically linear p-Laplacian problems**. Nonlinear Analysis,
(92) 183-197, 2013.

Collaborators:
P. Constantin (Princeton U), T. de Poyferre (UC
Berkeley), D. M. Duong (HCM city U), T. Elgindi (UC
San Diego), V. Vicol (Princeton U).

**Teaching**

Fall 2017: MAT 104 Calculus II.

Spring 2018: APC350/MAT322 Differential
Equations.