Dr. Tong LI

Professor

Department of Mathematics

University of Iowa

Iowa City, IA 52242 USA

 
Office: 325D MLH
Email: tong-li@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, 2013 Teaching:

22M:034/121 Eng. Math. IV Differential Equations 12:30-1:20 MWF 205 MLH Syllabus HW
22M:144/AAA Intro. PDEs 1:30-2:20 MWF 205 MLH Syllabus HW0 HW

Curriculum Vitae

CV

Educational Background:

Ph. D. in Mathematics, May, 1992, Courant Institute of Mathematical Sciences, New York University.
M.S. in Mathematics, February, 1990, 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.
2010-2013, Visiting Professor, Shanghai Jiaotong University, Shanghai, China.
May-June, 2011, Visiting Professor, University of Hamburg, Germany.
2008-2011, Visiting Professor, Xi'An Jiaotong University, Xi'An, China.
2009-2012, Visiting Professor, Capital Normal University, Beijing, 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:

T. Li and Zhi-An Wang, Steadily propagating waves of a chemotaxis model, Mathematical Biosciences, (240)2012, 161-168.
T. Li, R.H. Pan and K. Zhao, Global dynamics of a hyperbolic-parabolic model arising from chemotaxis, SIAM J. Appl. Math, 72(2012), 417-443.
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.
Lina Wang, Yaping Wu and T. Li, Exponential Stability of Large-Amplitude Traveling Fronts for Quasi-linear Relaxation Systems with Diffusion, Physica D, 240(2011), 971-983.
T. Li and K. Zhao, On a quasilinear hyperbolic system in blood flow modeling, Discrete and Continuous Dynamical Systems-B, 16(2011), 333-344.
D. Li, T. Li and K. Zhao, On a hyperbolic-parabolic system modeling chemotaxis, Mathematical Models and Methods in Applied Sciences, 21(2011), 1631-1650.
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.
Lei Yu, T. Li and Zhong-Ke Shi, The effect of diffusion in a new viscous continuum model, Physics Letters, Section A: General, Atomic and Solid State Physics, 374(2010), issue 23, 2346-2355.
Lei Yu, T. Li and Zhong-Ke Shi, Density Waves in a Traffic Flow Model with Reactive-time Delay, Physica A, Statistical Mechanics and its Applications, 389(2010), issue 13, 2607-2616.
T. Li and Zhi-An Wang, Nonlinear Stability of Traveling Waves to a Hyperbolic-parabolic System Modeling Chemotaxis, SIAM J. Appl. Math., 70(2009), 1522-1541.
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 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.
T. Li, Y. Li and H. Hethcote, Periodic Traveling Waves in SIRS Endemic Models, Mathematical and Computer Modelling, 49(2009), 393-401.
T. Li, Stability of Traveling Waves in Quasi-Linear Hyperbolic Systems with Relaxation and Diffusion, SIAM J. Math. Anal., 40(2008), 1058-1075.
T. Li and Hailiang Liu, Critical Thresholds in a Relaxation Model for Traffic Flows, Indiana Univ. Math. J., 57(2008), 1409–1431.
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 and Hailiang Liu, Stability of a traffic flow model with nonconvex relaxation, Communications in Mathematical Sciences, 3(2005), 101-118.
T. Li, Modelling Traffic Flow with a Time-Dependent Fundamental Diagram, Math. Methods in Appl. Sci., 27(2004), pp. 583-601.
T. Li, Global Solutions of Nonconcave Hyperbolic Conservation Laws with Relaxation Arising from Traffic Flow, J. Diff. Eqn., 190(2003), 131-149.
T. Li, Well-posedness Theory of An Inhomogeneous Traffic Flow Model, Discrete and Continuous Dynamical Systems-B, 2(2002), 401-414.
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.
T. Li, Global Solutions And Zero Relaxation Limit For A Traffic Flow Model, SIAM J. Appl. Math., 61(2000), pp. 1042-1061.
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.

Recent Presentations and Conferences Attended

Invited to speak at a special session: Hyperbolic Conservation Laws and Related Applications, for the 2013 The Second PRIMA Mathematics Congress, Shanghai, June 24-28, 2013.
To attend IMA Workshop: Stochastic Modeling of Biological Processes, May 13-17, 2013, University of Minnesota.
Gave an invited talk at The Central Region Conference on Numerical Analysis and Dynamical Systems, May 3-5, 2013, University of Kansas, Lawrence, Kansas.
Gave an invited talk at a special session on “Kinetic and hydrodynamic PDE-based descriptions of multi-scale phenomena”, at Spring Central Sectional AMS Meeting, Iowa State University, Ames, IA, April 26-28, 2013.
Attended Workshop TRAM2, Traffic Modeling and Management: Trends and Perspectives VI Workshop on Mathematical Foundations of Traffic (WMFT), Sophia Antipolis, France, March 20-22, 2013.
Gave an invited talk at Seoul National University, January 12, 2013.
Visited and gave a talk at a joint ICES/CNA seminar, University of Texas, Austin, November 20, 2012.
Participated in Blackwell-Tapia Conference November 9-10, 2012, Institute for Computational and Experimental Research in Mathematics (ICERM), Brown University.
Gave an invited talk at School of Naval Architecture Ocean and Civil Engineering, Shanghai Jiao Tong University, China, July 10, 2012.
Gave a lecture in Applied Math Seminar, April 19, 2012, Department of Mathematics, Ohio State University, Columbus, Ohio.
Gave a colloquium talk April 18, 2012, Department of Mathematics, Wright State University, Dayton, Ohio.
Visited and presented a lecture at The Federal University of Ceara, Brazil, Jan 6-15, 2012.
Visited and presented a lecture at The Instituto de Matemática Pura e Aplicada(IMPA), Rio de Janeiro, Brazil, Jan. 10-14, 2012.
Participated as a speaker in the workshop entitled Mathematics of Traffic Flow Modeling, Estimation and Control, December 7-9, 2011 at the Institute for Pure and Applied Mathematics(IPAM), UCLA.
Presented an invited talk at the Symposium on Hyperbolic Conservation Laws and Related Topics, which is a part of the SIAM Conference on Analysis of Partial Differential Equations, in San Diego, CA, November 14-17, 2011.
Presented an invited talk at Workshop on Boltzmann Models in Kinetic Theory, November 7-11, 2011, Institute for Computational and Experimental Research in Mathematics(ICERM), Brown University.
Gave an invited seminar talk at IMS at Chinese University of Hong Kong, July 12, 2011.
Gave an invited seminar talk in the kolloquium für Angewandte Mathematik, University of Hamburg, Germany, June, 2011.

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, 2008-2011.
Member of the Information Technology Advisory Committee, appointed by the Faculty Senate, University of Iowa, 2012-2015.
Member of the Council on Teaching, appointed by the Faculty Senate, University of Iowa, 2006-2012.
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, 2007-2010.
Member of the Executive Committee, Department of Mathematics, University of Iowa, 2009-2011.
Member of the 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 The Diversity & Inclusion 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 Difference 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-organized a Special Session at The AMS 2011 Spring Central Section Meeting at Iowa City, IA, March 18-20, 2011.
Co-organized The Pre-AMS Workshop on PDE Problems at Dept. of Math., UI, Iowa City, IA, March 17-18, 2011.
Co-organized The 2010 Iowa PDE Conference, University of Iowa, April 30-May 2, 2010.
Co-organized a Minisymposium on “Kinetic description, hyperbolic dynamics, and wave propagation“ at the SIAM conference on “Analysis of Partial Differential Equations”, December 7-10, 2009, Miami Florida.
Co-organized Conference on Partial Differential Equations and Their Applications, University of Iowa, July 25-27, 2008
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.
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 Seventh Sonia Kovalevsky High School Mathematics Day, University of Iowa, March 31, 2012.
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.

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