Dr. Tong LI

Professor

Department of Mathematics

University of Iowa

Iowa City, IA 52242 USA

 
Office: 325D MLH
Email: tli@math.uiowa.edu
Phone: 319-335-3342
Fax: 319-335-0627
Paper Mail

Dr. Tong LI
Department of Mathematics
15 MLH
The University of Iowa
Iowa City, IA 52242-1419
USA

Spring 2009 Teaching:

22M:034/121 Eng. Math. IV Differential Equations 12:30-1:20 MWF Syllabus HW
22M:144/AAA Partial Diff Equations w Numerical Mthds 1:30-2:20 MWF Syllabus HW

Curriculum Vitae

CV

Educational Background:

Ph. D. in Mathematics, May, 1992, Courant Institute of Mathematical Sciences, New York University.
M. S. in Mathematics, July, 1986, Peking University , Beijing, China
B. A. in Mathematics, July, 1983, Peking University , Beijing, China

Academic Experience:

2008-current, Professor, Department of Mathematics, University of Iowa.
1999-2008, Associate Professor, Department of Mathematics, University of Iowa.
2000-current, A Faculty Member of Program in Applied Mathematical and Computational Sciences, University of Iowa.
2008-2011, Visiting Professor, Xi'An Jiaotong University, Xi'An, China.
Fall, 2008, Member of the Mathematical Biosciences Institute (MBI), The Ohio State University.
Fall, 2008, Member of the Institute for Mathematics and its Applications(IMA), University of Minnesota.
Spring, 2002, Visiting Member of Institute for Advanced Study, Princeton, New Jersey.
1993-1999, Assistant Professor, Department of Mathematics, University of Iowa.
1995-1997, Assistant Professor in Mathematics, UCLA.
1992-1993, Visiting Member of Institute for Advanced Study, Princeton, New Jersey.

Research Interests:

Nonlinear Hyperbolic Conservation Laws
Shock Waves
Combustion
Traffic Flow
Bio-Mathematics
Numerical Analysis

Selected Publications and Recent Works:

1. T. Li and Suncica Canic, Critical Thresholds in a Quasilinear Hyperbolic Model of Blood Flow, accepted for publication by Networks and Heterogeneous Media, May 25, 2009.
2. T. Li and Hailiang Liu, Critical Thresholds in Hyperbolic Relaxation Systems, J. Differential Equations, 247(2009), 33-48.
3. T. Li and Yaping Wu, Linear and Nonlinear Exponential Stability of Traveling Waves for Hyperbolic Systems with Relaxation, in press, Communications in Mathematical Sciences, 2009.
4. T. Li and Hailiang Liu, Critical Thresholds in a Relaxation System with Resonance of Characteristic Speeds, Discrete and Continuous Dynamical Systems - Series A, 24(2009), 511-521.
5. T. Li, Y. Li and H. Hethcote, Periodic Traveling Waves in SIRS Endemic Models, Mathematical and Computer Modelling, 49(2009), 393-401.
6. T. Li, Stability of Traveling Waves in Quasi-Linear Hyperbolic Systems with Relaxation and Diffusion, SIAM J. Math. Anal., 40(2008), 1058-1075.
7. T. Li and Hailiang Liu, Critical Thresholds in a Relaxation Model for Traffic Flows, Indiana Univ. Math. J., 57(2008), 1409–1431.
8. 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.
9. T. Li, Nonlinear Dynamics of Traffic Flow, Proceedings of the Second International Multisymposium on Computer and Computational Sciences, pp. 550-560, IEEE Computer Society, 2007.
10. T. Li, Stability of CJ Detonations with a Two-Step Reaction Model, HYP2004 Conference Proceedings, Edited by F. Asakura, S. Kawashima, A. Matsumura, S. Nishibata, K. Nishihara, Yokohama Publishers, Inc., Japan, 2006.
11. T. Li, Nonlinear Dynamics of Traffic Jams, Physica D, 207(2005), 41-51.
12. T. Li and Hailiang Liu, Stability of a traffic flow model with nonconvex relaxation, Communications in Mathematical Sciences, 3(2005), 101-118.
13. T. Li, Modelling Traffic Flow with a Time-Dependent Fundamental Diagram, Math. Methods in Appl. Sci., 27(2004), pp. 583-601.
14. T. Li, Global Solutions of Nonconcave Hyperbolic Conservation Laws with Relaxation Arising from Traffic Flow, J. Differential Equations, 190(2003), 131-149.
15. T. Li, Well-posedness Theory of An Inhomogeneous Traffic Flow Model, Discrete and Continuous Dynamical Systems, Series B, 2(2002), 401-414.
16. T. Li, Mathematical Modelling of Traffic Flows, in Hyperbolic Problems: Theory, Numerics, Applications, Proceedings of the Ninth International Conference on Hyperbolic Problems held in CalTech, Pasadena, March 25-29, 2002, pp. 695-704, Edited by T. Y. Hou and E. Tadmor, Springer, 2003.
17. T. Li and H. M. Zhang, The Mathematical Theory of an Enhanced Nonequilibrium Traffic Flow Model, Network and Spatial Economics, A Journal of Infrastructure Modeling and Computation, Special Double Issue on Traffic Flow Theory, 1(2001), pp. 167-179.
18. T. Li, L^1 stability of conservation laws for a traffic flow model, Electron. J. Diff. Eqns., 2001(2001), No. 14, pp. 1-18.
19. T. Li, Global Solutions And Zero Relaxation Limit For A Traffic Flow Model, SIAM J. Appl. Math., 61(2000), pp. 1042-1061.
20. T. Li, Stability of a Transonic Profile Arising From Divergent Detonations, Comm. in Partial Differential Equations, 25(2000), pp. 2087-2105.
21. T. Li, Stability and Instability of Detonation Waves, in Hyperbolic Problems: Theory, Numerics, Applications, Seventh International Conference in Z\"urich, February, 1998, Volume II, pp. 641-650, Edited by M. Fey and R. Jeltsch, Birkh\"auser, 1999.
22. T. Li, Time-Asymptotic Limit of Solutions of a Combustion Problem, J. of Dynamics and Differential Equations, 10(1998), pp. 577-605.
23. T. Li, Stability of Strong Detonation Waves and Rates of Convergence, Electronic Journal of Differential Equations, 1998(1998), No. 9, pp. 1-17.
24. 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.
25. T. Li, On the Initiation Problem for a Combustion Model, J. Differential Equations, 112(1994), pp. 351-373.
26. T. Li, On the Riemann Problem for a Combustion Model, SIAM J. Math. Anal., 24(1993), pp. 59-75.

Recent Lectures and Conferences Attended

1. Presented an invited talk in the workshop "Flows and Networks in Complex Media", April 27 - May 1, 2009, at the Institute for Pure and Applied Mathematics (IPAM), UCLA, Los Angeles, CA.
2. Presented an invited talk in the Minisymposium "Stability of Traveling Waves: Spectral, Linear, and Nonlinear Stability" as a part of the SIAM Conference on Applications of Dynamical Systems (DS09), May 17-21, 2009, Snowbird Ski and Summer Resort, Snowbird, Utah.
3. Will present at The Conference on Traffic and Granular Flow '09 (TGF'09), Shanghai University, Shanghai, June 22-24, 2009.
4. Invited to present a talk at the International Workshop on PDEs at Seoul National University, Korea, June 18-20, 2009.
5. Invited to present a talk at the Special Session on Partial Differential Equations at The First PRIMA Congress, The University of New South Wales Sydney, Australia, July 6-10, 2009.
6. Invited to participate in the IMA summer program on Nonlinear Conservation Laws and Applications, July 13-31, 2009.
7. Presented a lecture at the IMA Seminar, IMA, University of Minnesota, December 3, 2008.
8. Presented a colloquium at Department of Mathematics, Iowa State University, November 21, 2008.
9. Presented a lecture at the Postdoc Seminar at Mathematical Biosciences Institute, Ohio State University, Columbus, Ohio, October 23, 2008.
10. Presented a lecture at the PDE Seminar at Department of Mathematics, Ohio State University, Columbus, Ohio, October 15, 2008.
11. Presented a lecture at Department of Mathematics, Capital Normal University, Beijing, China, October 7, 2008.
12. Presented a lecture at Department of Mathematics, Xi'An Jiaotong University, Xi'An, China, October 8, 2008.
13. Presented a colloquium lecture at Department of Mathematics, Seoul National University, Korea, October 2, 2008.
14. Presented a colloquium lecture at Department of Mathematics, Pusan National University, Korea, September 29, 2008.
15. Presented a colloquium lecture at Institute of Mathematics, Academia Sinica, Taiwan, September 25, 2008.
16. Attended the Conference on Non-linear Phenomena in Mathematical Physics: Dedicated to Cathleen Synge Morawetz on her 85th birthday, September 18-20, 2008, Fields Institute, Toronto, Canada. Served as a session chair.
17. Attended the 2008 Workshop for Young Researchers in Math Biology, Mathematical Biosciences Institute, Ohio State University, September 2-4, 2008.
18. Presented an invited lecture at the International Workshop on Scientific Computing, at the Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, June 7-8, 2008.
19. Presented a lecture at Department of Mathematics, Peking University, Beijing, China, June 20, 2008.
20. Presented a lecture at a special session on Hyperbolic and Kinetic Equations at the 2008 Spring Central Section Meeting of AMS in Bloomington, Indiana, April 5-6, 2008.

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

Professional Service

Member of Association for Women in Mathematics AWM.
Member of the Faculty Assembly, College of Liberal Arts and Sciences, for a three-year term beginning fall 2008.
Member of the Council on Teaching, appointed by the Faculty Senate, University of Iowa, 2006-2009.
Member of the General Education Curriculum Committee, College of Liberal Arts and Sciences, University of Iowa, 2005-2008.
Member of the Council on the Status of Women, University of Iowa, 2006-2009.
Member of UI Committee on the Celebration of Excellence and Achievement Among Women.
Member of Outreach Committee, Department of Mathematics, University of Iowa, since 2007.
Colloquium Chair 04-05, Department of Mathematics, University of Iowa.
Member of Graduate Committee, Department of Mathematics, University of Iowa, 2005-2007.
Member of Minority Student Recruiting and Development Committee, 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 Diffirence in 2006.
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, 1998-current.
Member of the Ph. D comprehensive examination committees in the Department of Mathematics, 2004-current.
Member of Faculty Search Committee, Department of Mechanical Engineering, College of Engineering, University of Iowa, 1994-1996.
Co-organizing a Minisymposium on “Kinetic description, hyperbolic dynamics, and wave propagation“ at the SIAM conference on “Analysis of Partial Differential Equations”, December 7-9, 2009, Miami Florida.
Co-organized a conference on partial differential equations and their applications as part of the VIGRE activities, July 25-27, 2008, University of Iowa.
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, February 25, 2006. Introduced the keynote speakers.
Co-organized the Second Sonia Kovalevsky High School Mathematics Day, University of Iowa, March 31, 2007. This event was sponsored by the Association for Women in Mathematics, The University of Iowa Promise Momentum Awards, The University of Iowa Year of Public Engagement.
Co-organized the Third Sonia Kovalevsky High School Mathematics Day, University of Iowa, April 5, 2008. This event was sponsored by the Association for Women in Mathematics, The University of Iowa Promise Momentum Awards, The University of Iowa Year of Public Engagement. 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.
Co-organized the Fourth Sonia Kovalevsky High School Mathematics Day, University of Iowa, April 4, 2009.

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