Geng Chen

Office: McAllister 231
Email: Chen at math dot psu dot edu
Math Department, Penn State Univerisity

I will move to Georgia Tech in Fall 2013 as a Hale postdoc. Here is my CV

Teaching

Fall 2012, Math 141, Section 10 and 12.

Research interest

• Partial differential equations, hyperbolic conservation laws, fluid dynamics, compressible Euler equations
• Nonlinear wave equation, wave system of liquid crystal.
• Biomathematics

Publications

Most of my publications are available at Arxiv

Publications:

1. No TVD fields for 1-d isentropic gas flow, Comm. Partial Differential Equations, 38 (2013), no. 4, 629-657 (with Helge Kristian Jenssen). pdf
2. Existence and singularity to a wave system of nematic liquid crystals, J. Math. Anal. Appl., 398 (2013), 170-188 (with Yuxi Zheng).
3. Shock formation in the compressible Euler equations and related systems, J. Hyperbolic Differential Equations, 10 (2013), no. 1, 149-172 (with Robin Young and Qingtian Zhang). pdf
4. Conservation solutions to a system of variational wave equations of nematic liquid crystals, Comm. Pure Appl. Anal., 12 (2013), no. 3, 1445-1468 (with Ping Zhang and Yuxi Zheng). pdf
5. Pairwise wave interactions in ideal polytropic gases, Arch. Ration. Mech. Anal., 204 (2012), no. 3, 787-836, (with Erik Endres and Helge Kristian Jenssen).
6. Vacuum in the non-isentropic gas dynamics, Acta Mathematica Scientia, 32 (2012), 339-351, no. 1, (with Robin Young). pdf.
7. Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equation, J. Differential Equations, 252 (2012), no. 3, 2580-2595, (with Robin Young).
8. Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations, J. Hyperbolic Differential Equations, 8 (2011), no. 4, 671-690.
9. Disease persistence for a kind of age-structured epidemic models (in Chinese), Appl. Math. J. Chinese Univ. Ser. A, 22 (2007), no. 3, 253-262.
10. SARS epidemic model and its application (in Chinese), Appl. Math. J. Chinese Univ. Ser. A, 21 (2006), no. 3, 253-263, (with Yuanjun Wang).

Preprints for submitted paper:

1. The almost global existence for a 3-D wave equation of nematic liquid-crystals, submitted, (with Yi Du and Jianli Liu). pdf
2. Shock formation and exact solutions for the compressible Euler equations, submitted, (with Robin Young). pdf

Paper in preparation:

1. Structure of smooth solutions for the elastic string, (with Jianli Liu).
2. Lipschitz metrics for a class of nonlinear wave equations, (with Alberto Bressan).

Previous courses

Penn State Univeristy:

• Fall 2011, Math 230
• Spring 2011, Math 140
• Fall 2010, Math 140

University of Massachusetts, Amherst:

• Spring 2010, M331, Ordinary differential equations
• Fall 2009, M131 Calculus 1
• Summer 2009, M331, Ordinary differential equations
• Fall 2008, M131 Calculus 1, discussion section