Yanbo Hu and Tong Li,
The regularity of a degenerate Goursat problem for the 2-D isothermal Euler equations,
accepted for publication on
Communications on Pure and Applied Analysis,
February 15, 2019.
Tong Li and Jeungeun Park,
Traveling waves in a chemotaxis model with logistic growth,
accepted for publication by
Discrete and Continuous Dynamical Systems-B,
January 31, 2019.
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.
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.
Lihui Guo, Tong Li and Gan Yin,
The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term,
J. Math. Anal. Appl., 455(2017), 127-140.
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.
Lihui Guo, Tong Li and Gan Yin,
The Vanishing Presure Limits of Riemann Solutions to the Chaplygin Gas Equations with a Source Term,
Communications on Pure and Applied Analysis,
16(2017), 295-309.
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.
Lei Yu, Zhong-Ke Shi and Tong Li,
A new car-following model with two delays, Physics Letter A, 378(2014), 348-357.
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,
Instability and formation of clustering solutions of
traffic flow, Bulletin of the Institute of
Mathematics, Academia Sinica (New Series), 2(2007), 281-295.
T. Li, Nonlinear Dynamics of Traffic Jams,
Physica D, 207(2005), 41-51.
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.
Attended "Hot Topics" workshop: Scientific Machine Learning, January 28 - 30, 2019
at ICERM, at Brown University.
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.
Invited to attend the International Workshop on Kinetic Theory and Related Topics, 25-29 June, 2018,
Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China.
Attended IPAM at UCLA: TRARC2018: Invitation to Lake Arrowhead Reunion Conference II, June 10-15, 2018.
Attended the Institute for Mathematics and its Applications (IMA) workshop on Queueing and Networks to be held in Minneapolis, MN, May 14 - 18, 2018.
Presented a talk at International Conference on Nonlinear Partial
Differential Equations and Applications, January 3-5, 2018, Jeju, Korea.
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.
Attended Nonlocal School on Fractional Equations - NSFE 2017, Iowa State University, Ames, August 17-19, 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.
Attended the 14th International Conference on Free Boundary Problems: Theory and Applications, SJTU, Shanghai, China, July 9-14, 2017.
Presented a talk at Institute of Applied Physics, Tsinghua University, Beijing, China, July 5, 2017.
Spoke at a workshop on multidimensional conservation laws at SJTU, Shanghai, China, June 16-18, 2017.
Spoke at Lake Arrowhead Reunion Conference at IPAM UCLA, June 4-9, 2017.
Gave a talk at the PDE Seminar, Department of Mathematics, ISU, March 6, 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.
Participated in The 7th International Congress of Chinese Mathematicians, Bejing, China, August 5-11, 2016.
Gave an invited talk at Department of Mathematics, Henan University, Kaifeng, China, July 7-July 12, 2016.
Gave an invited talk at Department of Mathematics, Ningbo University, Ningbo, China, June 28-July 1, 2016.
Presented a talk at the PDE Seminar, Department of Mathematics, OSU, October 6, 2015.
Gave a talk at the Visitor's Seminar at MBI, OSU, October 6, 2015.
Participated as an invited speaker in the workshop
“Mathematical Foundations of Traffic”, September 28 – October 2, 2015, at the Institute for
Pure and Applied Mathematics IPAM, UCLA.
Gave a talk at the Department of Mathematics, Shanghai University, August 25, 2015.
Presented a talk at the Workshop on PDE problems arising from biology and related area, August 18-19, 2015,
Hong Kong.
Gave a Special Session talk at
The 10th ISAAC Congress, August 3-8, 2015, University of Macau, China.
Gave a talk at the PDE Session of the 30th Colóquio
Brasileiro de Matemática, IMPA, Rio de Janeiro, 26th - 31st of July 2015.
Presented a talk at the
Workshop on Hyperbolic Conservation Laws and Related Topics,
June 22-25, 2015 at the Department of Math, SNU, Seoul, Korea.
Gave a talk at The 8th International Conference on Nonlinear Partial Differential
Equations and Their Numerical Analysis, Hangzhou Normal University, Hangzhou,
China, May 25-28, 2015.
Gave a talk at the Seminar of Mathematical Engineering, Department of Mathematical Engineering,
Musashino University, Japan, May 20, 2015.
Presented a talk at the Department of Mathematical and Computing Sciences,
Graduate School of Information Science and Engineering,
Tokyo Institute of Technology, Japan, May 22, 2015.
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
The Diversity & Inclusion Committee, 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.
Participated in the First Sonia Kovalevsky High School Mathematics Day, University of Iowa, February 25, 2006.
Introduced the keynote speakers.
Co-organized
the Second Sonia Kovalevsky High School Mathematics Day,
University of Iowa, March 31, 2007.
Co-organized
the Third Sonia Kovalevsky High School Mathematics Day,
University of Iowa, April 5, 2008.
Co-organized
the Fourth Sonia Kovalevsky High School Mathematics Day,
University of Iowa, April 4, 2009.
Co-organized
the Fifth Sonia Kovalevsky High School Mathematics Day,
University of Iowa, April 3, 2010.
Co-organized
the Sixth Sonia Kovalevsky High School Mathematics Day,
University of Iowa, April 10, 2011.
Co-organized
the Eighth Sonia Kovalevsky High School Mathematics Day,
University of Iowa, April 6, 2013.
The annual event was sponsored by the Association for Women in Mathematics,
The University of Iowa, ACT, Giacoletto Foundation.
The goal is to preserve that passion leading to more women choosing to study
sciences and math at the UI or at other universities and to pursue careers in these areas.