# Juhi Jang

Courant Institute of Mathematical Sciences

New York University

251 Mercer Street

New York, NY 10012

**E-mail:** juhijang-at-cims-dot-nyu-dot-edu

**Office:** Warren Weaver Hall, Room 1027

**Phone:** (212) 998-3260

**Courant Instructor ** at the Courant Institute (NYU). Here is my CV.

### Teaching at NYU

- Spring 2010 - Calculus I, V63.0121.

- Fall 2009 - Linear Algebra, V63.0140. (More information on Blackboard. Log in at home.nyu.edu and click on "Academics".)

- Spring 2009 - Quantitative Reasoning: Games of Chance, V55.0108.002

- Fall 2008 - Calculus I, V63.0121. (More information on Blackboard. Log in at home.nyu.edu and click on "Academics".)

### Research Interests

- Nonlinear PDEs arising in fluid and gas dynamics, kinetic theory, plasma physics, and astrophysics

### Awards

- NSF Research Grant DMS-0908007 (PI), 2009-2012

### Publications

- Nonlinear Instability in Gravitational Euler-Poisson system for &gamma=6/5,
* Archive for Rational Mechanics and Analysis* **188** (2008), no. 2, 265-307

- Vlasov-Maxwell-Boltzmann diffusive limit,
*Archive for Rational Mechanics and Analysis* **194** (2009), no. 2, 531-584

- Local Well-Posedness of Dynamics of Viscous Gaseous Stars,
*Archive for Rational Mechanics and Analysis* **195** (2010), no. 3, 797-863

- Well-posedness for compressible Euler equations with physical vacuum singularity (with Nader Masmoudi),
* Communications on Pure and Applied Mathematics* **62** (2009), no. 10, 1327-1385

- Local Hilbert Expansion for the Boltzmann equation (with Yan Guo and Ning Jiang),
*Kinetic and Related Models* **2** (2009), no. 1, 205-214

- Acoustic limit of the Boltzmann equation: classical solutions (with Ning Jiang),
*Discrete and Continuous Dynamical Systems - Series A* **25** (2009), no. 3, 869-882

- Acoustic Limit for the Boltzmann equation in Optimal Scaling (with Yan Guo and Ning Jiang),
* Communications on Pure and Applied Mathematics* **63** (2010), no. 3,
337-361

- Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system (with Yan Guo), accepted for publication in
*Communications in Mathematical Physics*

- Vacuum in Gas and Fluid dynamics (with Nader Masmoudi), accepted for publication in
*Proceedings of the IMA summer school on
Nonlinear Conservation Laws and Applications*

##### * Most of my papers including recent preprints are available on arXiv.org and
the final versions can be obtained on
request. *

### Preprints and In Preparation

- Well-posedness of compressible Euler equations in a physical vacuum (with Nader Masmoudi),
*submitted*
- Wave operators for semilinear wave and Klein-Gordon equations with critical nonlinearities (with Dong Li and Xiaoyi Zhang),
*in preparation*

- The 2D Euler-Poisson System with Spherical Symmetry,
*unpublished note*