Professor
(205) 934-2154
University Hall 4012
Research and Teaching Interests: Partial differential equations, Nonlinear analysis, Conservation laws, Shock waves
Office Hours: By appointment
Education:
- B.S., Sun Yat-sen University, Computer Science
- M.S., Sun Yat-sen University, Computer Science
- Ph.D., New York University, Mathematics
I received my Ph.D. from Courant Institute of Mathematical Sciences at New York University in 1992. After that I was a visiting assistant professor at Brown University for two years, and a postdoctoral research associate at Stony Brook University for three years before coming to UAB in 1997.
While at UAB, I was a National Science Foundation International Research Fellow in 1998. I received Oak Ridge Associated Universities Ralph E. Powe Junior Faculty Enhancement Award in 1998. During my career at UAB, I have been awarded three extramural and two intramural research grants. I was also a Co-PI for a conference grant and an equipment grant.
Besides service courses, I regularly teach Differential Equations and Partial Differential Equations, both in undergraduate and graduate levels. In recent years I have also been interested in curriculum development in modeling, simulation, and analysis of phenomena in physical and life sciences.
-
Research Interests
Nonlinear partial differential equations from continuum mechanics, analysis related to conservation laws and balance laws, and shock wave theory.
-
Recent Courses
- MA 125: Calculus I
- MA 360/560: Scientific Programming
- MA 461/561: Modeling with PDE
- MA 650: Differential Equations
- MA 792-00A: Population Dynamics
- MA 792-00B: Flocking and Synchronization
-
Select Publications
View a complete list of publicationsBooks:
- Tai-Ping Liu and Yanni Zeng. Shock Waves in Conservation Laws with Physical Viscosity. Mem. Amer. Math. Soc. 234 (2015), no. 1105, vi+168 pp. ISBN: 978-1-4704-1016-2.
- Tai-Ping Liu and Yanni Zeng. Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws. Mem. Amer. Math. Soc. 125 (1997), no. 599, viii+120 pp.
Articles:
- Yanni Zeng. Global existence theory for general hyperbolic-parabolic balance laws with application. J. Hyperbolic Differ. Equ. 14 (2017), no. 2, 359–391.
- Yanni Zeng with Jiao Chen. Pointwise time asymptotic behavior of solutions to a general class of hyperbolic balance laws. J. Differential Equations 260 (2016), no. 8, 6745–6786.
- Yanni Zeng. Thermal non-equilibrium flows in three space dimensions. Arch. Ration. Mech. Anal. 219 (2016), no. 1, 27–87.
- Yanni Zeng with Tai-Ping Liu. Time-asymptotic behavior of wave propagation around a viscous shock profile. Comm. Math. Phys. 290 (2009), no. 1, 23–82.
- Yanni Zeng. Gas dynamics in thermal nonequilibrium and general hyperbolic systems with relaxation. Arch. Ration. Mech. Anal. 150 (1999), no. 3, 225–279.
- Yanni Zeng with James Glimm, John Grove, Xiao Lin Li, Keh-Ming Shyue, and Qiang Zhang. Three-dimensional front tracking. SIAM J. Sci. Comput. 19 (1998), no. 3, 703–727.
- Yanni Zeng. L1 asymptotic behavior of compressible, isentropic, viscous 1-D flow. Comm. Pure Appl. Math. 47 (1994), no. 8, 1053–1082.
-
Academic Distinctions & Professional Memberships
- American Mathematical Society
- Association for Women in Mathematics