Office: McAllister 231Email: 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
Partial differential equations, hyperbolic conservation laws, fluid dynamics, compressible Euler equations
Nonlinear wave equation,
wave system of liquid crystal.
Most of my publications are available at Arxiv
No TVD fields for 1-d isentropic gas flow, Comm. Partial Differential Equations, 38 (2013), no. 4, 629-657 (with Helge Kristian Jenssen). pdf
Existence and singularity to a wave system of nematic liquid crystals, J. Math. Anal. Appl., 398 (2013), 170-188 (with Yuxi Zheng).
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
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
Pairwise wave interactions in ideal polytropic gases, Arch. Ration. Mech. Anal., 204 (2012), no. 3, 787-836, (with Erik Endres and Helge Kristian Jenssen).
Vacuum in the non-isentropic gas dynamics, Acta Mathematica Scientia, 32 (2012), 339-351, no. 1, (with Robin Young). pdf.
Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equation, J. Differential Equations, 252 (2012), no. 3, 2580-2595, (with Robin Young).
- Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations, J. Hyperbolic Differential Equations, 8 (2011), no. 4, 671-690.
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.
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:
The almost global existence for a 3-D wave equation of nematic liquid-crystals, submitted, (with Yi Du and Jianli Liu).
Shock formation and exact solutions
for the compressible Euler equations, submitted, (with Robin Young). pdf
Paper in preparation:
Structure of smooth solutions for the elastic string, (with Jianli Liu).
Lipschitz metrics for a class of nonlinear wave equations, (with Alberto Bressan).
Penn State Univeristy:
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