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Professor

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(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.

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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

pdfView a complete list of publications

Books:

  • 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