Tong Li and Jeungeun Park,Traveling waves in a Keller-Segel model with logistic
growth, accepted for publication on Comm. Math. Sci.,September 29, 2021.
Weifeng Jiang, Tingting Chen, Tong Li and Zhen Wang, The Riemann problem with
delta initial data for the non-isentropic improved Aw-Rascle-Zhang model, accepted
for publication on Acta Mathematica Scientia, October 2, 2021.
Tingting Chen, Weifeng Jiang and Tong Li, On the stability of the improved AwRascle-Zhang model with Chaplygin pressure, Nonlinear Analysis: Real World Applications, 62(2021), p. 103351.
Lihui Guo, Tong Li and Gan Yin, The transition of Riemann solutions of the modified
Chaplygin gas equations with friction to the solutions of the Chaplygin gas equations,
ccepted for publication on Zeitschrift f¨ur angewandte Mathematik und Physik, Apri0
15, 2021.
Tong Li and Nitesh Mathur, Riemann Problem For A Non-Strictly Hyperbolic System In Chemotaxis, Discrete and Continuous Dynamical Systems Series B, published
online, April 16, 2021. doi: 10.3934/dcdsb.2021128
Tong Li, Dehua Wang, Fang Wang, Zhian Wang and Kun Zhao, Large time behavior
and diffusion limit for a system of balance laws from chemotaxis in multi-dimensions,
Comm. Math. Sci., 19(2021), 229-272.
Weifeng Jiang, Tong Li and Zhen Wang, The Limiting Behavior of the Riemann Solutions of Non-isentropic Modified Chaplygin Gas Dynamics, Journal of Mathematical
Physics, 62, 041501(2021).
Weifeng Jiang , Tong Li , Zhen Wang and Tingting Zhang, The Riemann solutions
comparison for compressible Euler equations in different Chaplygin gas states, Applicable Analysis(2021). DOI: 10.1080/00036811.2020.1869944. Published online: 06
Jan 2021.
Yanbo Hu and Tong Li,
Sonic-supersonic solutions for the two-dimensional self-similar full Euler equations,
Kinetic & Related Models,
12(2019), 1197-1228.
Chao Deng and Tong Li,
Global existence and
large time behavior of a 2D Keller-Segel system in logarithmic Lebesgue spaces,
Discrete and Continuous Dynamical Systems-B,
24(2019), 183-195.
Xiaoyan Wang, Tong Li and Jinghua Yao,
Dynamical behaviors of a system modeling wave bifurcations,
Communications in Mathematical Sciences,
16(2018), 1869-1894.
Yanbo Hu and Tong Li,
An improved regularity result of semi-hyperbolic patch problems for the 2-D isentropic Euler equations,
J. Math. Anal. Appl.,
467(2018), 1174-1193.
Lijun Pan, Xinli Han, Tong Li, and Lihui Guo,
The generalized Riemann problem and instability of delta shock to the chromatography equations,
Communications in Mathematical Sciences, 16(2018), 705-734.
Lihui Guo, Tong Li, Lijun Pan and Xinli Han,
The Riemann Problem with Delta Initial Data for the One-Dimensional Chaplygin Gas Equations with a Source Term,
Nonlinear Analysis Series B: Real World Applications, 41(2018), 588-606.
Tong Li and Jeungeun Park,
Stability of traveling wave solutions of models for image processing with non-convex nonlinearity,
Communications on Pure and Applied Analysis, 17(2018), 959-985.
Tong Li and Jeungeun Park,
Stability of traveling wave solutions of nonlinear conservation laws for image processing,
Communications in Mathematical Sciences,, 15(2017), 1073-1106.
Tong Li, Hailiang Liu and Lihe Wang, Oscillatory traveling wave solutions
to an attractive chemotaxis system,
J. Diff. Eqn., 261(2016), 7080-7098.
Tong Li and Kun Zhao,
Analysis of non-isentropic compressible Euler equations with relaxation,
J. Diff. Eqn., 259(2015), 6338-6367.
Tong Li and Jinghua Yao,
Equivariant Hopf bifurcation with arbitrary pressure laws in continuum mechanics,
Physica D, 310(2015), 79-94.
Tong Li, Min Tang and Xu Yang,
An augmented Keller-Segal model for E. coli chemotaxis in fast-varying
environments,
Communications in Mathematical Sciences,, 14(2016), 883-891.
Tong Li, Anthony Suen, Michael Winkler and Chuan Xue,
Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms,
Mathematical models and methods in applied sciences,25(2015), 721-746.
Chao Deng and Tong Li, Well-posedness of the 3D Parabolic-hyperbolic
Keller-Segel System in the Sobolev Space Framework,
J. Diff. Eqn., 257(2014), 1311-1332.
T. Li and Hui Yin,
Convergence Rate To Strong Boundary Layer Solutions For
Generalized BBM-Burgers Equations with Non-convex Flux,
Communications on Pure and Applied Analysis,
13(2014), 835-858.
T. Li and K. Zhao,
Global existence and long-time behavior of entropy weak solutions to a quasilinear hyperbolic blood flow model,
Networks and Heterogeneous Media,
6(2011), 625-646.
D. Li and T. Li, Shock formation in a traffic flow model with arrhenius
look-ahead dynamics,
Networks and Heterogeneous Media,
6(2011), 681-694.
T. Li and Zhi-An Wang,
Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis,
J. Diff. Eqn., 250(2011), 1310-1333.
T. Li and Zhi-An Wang, Nonlinear Stability of Large Amplitude Viscous Shock Waves
of a Generalized Hyperbolic-parabolic System Arising in Chemotaxis,
Mathematical Models and Methods in Applied Sciences,
20(2010), 1967-1998.
T. Li and Suncica Canic, Critical Thresholds in a Quasilinear
Hyperbolic Model of Blood Flow,
Networks and Heterogeneous Media,
4(2009), 527-536.
T. Li and Hailiang Liu,
Critical Thresholds in Hyperbolic Relaxation Systems,
J. Diff. Eqn., 247(2009), 33-48.
T. Li and Yaping Wu, Linear and Nonlinear Exponential Stability of Traveling Waves for
Hyperbolic Systems with Relaxation,
Communications in Mathematical Sciences,,
7(2009), 571-593.
T. Li,
Rigorous Asymptotic Stability of a CJ Detonation Wave in the Limit of Small
Resolved Heat Release, Combustion Theory and Modelling, 1(1997), pp.
259-270.
Gave an invited talk at the International Workshop on PDEs and Related, Xinyang
Normal University, China, June 27-30, 2019.
Presented a talk at Department of Mathematics, Hangzhou Normal University, China,
June 21, 2019.
Presented a talk at Department of Mathematics, Shanghai Normal University, Shanghai, China, June 12, 2019.
Gave a PDE Seminar talk at Department of Mathematics, Oklahoma State University, November 8, 2018.
Gave an invited talk at Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, China,
July 10, 2018.
Presented a talk at Department of Mathematics, University of Pittsburgh, October 27, 2017
Presented a colloquium talk at Department of Mathematics, Wayne State University, November 17, 2017.
Presented a colloquium talk at Department of Mathematics, University of Alabama at Birmingham, August 10, 2017.
Presented a talk at Department of Mathematics, Xinjiang University, Urumqi, China, July 24, 2017.
Presented a talk at Institute of Applied Physics, Tsinghua University, Beijing, China, July 5, 2017.
Gave an invited minisymposium talk at the 2nd Annual Meeting of the SIAM Central States Section, September 30 – October 2,
2016, at University of Arkansas at Little Rock campus, Arkansas.
Teaching Experience
Calculus for Life Sciences, Vector Calculus, Business Calculus, Differential
Equations, Numerical Analysis with MATLAB, Real Analysis, Complex Variables,
Linear Algebra, Matrix Algebra, Combinatorics, Partial Differential Equations
with MATLAB, Nonlinear Conservation Laws and Shock Wave Theory,
Nonlinear Dynamic and Chaos
Course Coordinator of 22M:034 Eng. Math. IV Differential Equations, 2013-current.
Professional Service
Member of the Honorary Degree Selection Committee, University of Iowa, 2016-2018.
Member of UI Committee on the Celebration of Excellence and Achievement Among Women, 2007-current.
Member of the Executive Committee, Department
of Mathematics, University of Iowa, 2009-2011.
Member of the Ph.D qualifying examination committees in the Department
of Mathematics, University of Iowa, 2004-current.
Colloquium
Chair 04-05, Department of Mathematics, University
of Iowa.
Member of
Graduate Committee, Department of Mathematics, University
of Iowa, 2005-2007.
Member of Council for Diversity, Equity, and Inclusion,
Department of Mathematics, University of Iowa, 1996-current.
The Department of Mathematics at the University of Iowa has been awarded
Presidential Awards for Excellence in Science, Mathematics and Engineering
Mentoring (PAESMEM) and has won
recognition by the AMS Committee on the Profession
as
Programs that Make a Difference in 2006.
Participated as a mentor in the GAANN grant.
Dept. of Math. at UI has received the GAANN grants for the last twelve years.
A reviewer for Mathematical Reviews since 2001.
Member of Evaluation of Teaching Effectiveness Committee, Department of
Mathematics, University of Iowa, 2001-2003.
Member of Undergraduate Committee, Department of Mathematics, University
of Iowa, 1998-2001.
Member of the MS comprehensive committees in the Department of Mathematics, University of Iowa,
1998-current.
Member of the Ph. D comprehensive examination committees in the Department
of Mathematics, University of Iowa, 2004-current.
Member of Faculty Search Committee, Department of Mechanical Engineering,
College of Engineering, University of Iowa, 1994-1996.
Co-organized the Midwest Geometry Conference
May 18 - 20, 2007, University of Iowa.
Co-organized the Midwest PDE Conference,
partially sponsored by NSF, September 22-24, 2006, University of Iowa.
Co-organized `The International Nonlinear PDE Conference, University of
Iowa, April 1-4, 1999', sponsored partially by IMA, University of Minnesota
and NSF.