×
Compute Distance To:
Author ID: li.tong Recent zbMATH articles by "Li, Tong"
Published as: Li, Tong
Homepage: http://homepage.divms.uiowa.edu/~tli/
External Links: MGP
Documents Indexed: 83 Publications since 1993, including 1 Book
Co-Authors: 37 Co-Authors with 51 Joint Publications
1,857 Co-Co-Authors
all top 5

Serials

8 Communications in Mathematical Sciences
7 Journal of Differential Equations
6 Discrete and Continuous Dynamical Systems. Series B
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Communications on Pure and Applied Analysis
4 Networks and Heterogeneous Media
3 Physica D
3 SIAM Journal on Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Physics Letters. A
2 Journal of Mathematics. Wuhan University
2 Journal of Systems Science and Mathematical Sciences
2 SIAM Journal on Mathematical Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Discrete and Continuous Dynamical Systems
2 Nonlinear Analysis. Real World Applications
1 Applicable Analysis
1 International Journal of Control
1 International Journal of Theoretical Physics
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Nuclear Physics. B
1 Indiana University Mathematics Journal
1 Mathematical and Computer Modelling
1 Communications in Partial Differential Equations
1 Journal of Dynamics and Differential Equations
1 Computational and Applied Mathematics
1 Combustion Theory and Modelling
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of University of Science and Technology of China
1 Journal of Beijing Institute of Technology
1 Mathematical Biosciences and Engineering
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Kinetic and Related Models
1 Statistical Theory and Related Fields

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 693 times in 344 Documents Cited by Year
Nonlinear stability of traveling waves to a hyperbolic-parabolic system modeling chemotaxis. Zbl 1206.35041
Li, Tong; Wang, Zhi-An
67
2009
Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms. Zbl 1322.35054
Li, Tong; Suen, Anthony; Winkler, Michael; Xue, Chuan
62
2015
Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis. Zbl 1213.35109
Li, Tong; Wang, Zhi-An
59
2011
On a hyperbolic-parabolic system modeling chemotaxis. Zbl 1230.35070
Li, Dong; Li, Tong; Zhao, Kun
56
2011
Nonlinear stability of large amplitude viscous shock waves of a generalized hyperbolic – parabolic system arising in chemotaxis. Zbl 1213.35081
Li, Tong; Wang, Zhi-An
49
2010
Global dynamics of a hyperbolic-parabolic model arising from chemotaxis. Zbl 1244.35150
Li, Tong; Pan, Ronghua; Zhao, Kun
42
2012
Stability of traveling waves of the Keller-Segel system with logarithmic sensitivity. Zbl 1311.35021
Li, Jingyu; Li, Tong; Wang, Zhi-An
39
2014
Steadily propagating waves of a chemotaxis model. Zbl 1316.92013
Li, Tong; Wang, Zhi-An
37
2012
The vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source term. Zbl 1357.35221
Guo, Lihui; Li, Tong; Yin, Gan
27
2017
The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term. Zbl 1373.35047
Guo, Lihui; Li, Tong; Yin, Gan
24
2017
Well-posedness of a 3D parabolic-hyperbolic Keller-Segel system in the Sobolev space framework. Zbl 1293.35342
Deng, Chao; Li, Tong
22
2014
Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313
Li, Dong; Li, Tong
18
2011
Global solutions of nonconcave hyperbolic conservation laws with relaxation arising from traffic flow. Zbl 1015.35066
Li, Tong
17
2003
Nonlinear dynamics of traffic jams. Zbl 1074.35072
Li, Tong
14
2005
Stability of traveling waves in quasi-linear hyperbolic systems with relaxation and diffusion. Zbl 1177.35133
Li, Tong
13
2008
The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term. Zbl 1387.35407
Guo, Lihui; Li, Tong; Pan, Lijun; Han, Xinli
12
2018
Critical thresholds in hyperbolic relaxation systems. Zbl 1170.35062
Li, Tong; Liu, Hailiang
11
2009
Global solutions and zero relaxation limit for a traffic flow model. Zbl 0979.35096
Li, Tong
10
2000
Periodic traveling waves in SIRS endemic models. Zbl 1165.35311
Li, Tong; Li, Yi; Hethcote, Herbert W.
8
2009
Stability of a traffic flow model with nonconvex relaxation. Zbl 1099.35156
Li, Tong; Liu, Hailiang
8
2005
Sonic-supersonic solutions for the two-dimensional pseudo-steady full Euler equations. Zbl 1437.35487
Hu, Yanbo; Li, Tong
7
2019
Rigorous asymptotic stability of a Chapman-Jouguet detonation wave in the limit of small resolved heat release. Zbl 1140.80403
Li, Tong
7
1997
On the initiation problem for a combustion model. Zbl 0808.35073
Li, Tong
7
1994
An improved regularity result of semi-hyperbolic patch problems for the 2-D isentropic Euler equations. Zbl 1395.35060
Hu, Yanbo; Li, Tong
6
2018
The effect of diffusion in a new viscous continuum traffic model. Zbl 1237.90060
Yu, Lei; Li, Tong; Shi, Zhong-Ke
6
2010
Well-posedness theory of an inhomogeneous traffic flow model. Zbl 1162.35415
Li, Tong
6
2002
Critical thresholds in a relaxation model for traffic flows. Zbl 1152.35006
Li, Tong; Liu, Hailiang
6
2008
A new car-following model with two delays. Zbl 1396.90024
Yu, Lei; Shi, Zhong-ke; Li, Tong
5
2014
Traveling waves in a chemotaxis model with logistic growth. Zbl 1423.35060
Li, Tong; Park, Jeungeun
5
2019
Critical thresholds in a relaxation system with resonance of characteristic speeds. Zbl 1171.35428
Li, Tong; Liu, Hailiang
4
2009
Exponential stability of large-amplitude traveling fronts for quasi-linear relaxation systems with diffusion. Zbl 1223.37099
Wang, Lina; Wu, Yaping; Li, Tong
4
2011
On the Riemann problem for a combustion model. Zbl 0810.35059
Li, Tong
4
1993
Modelling traffic flow with a time-dependent fundamental diagram. Zbl 1041.35035
Li, Tong
4
2004
The generalized Riemann problem and instability of delta shock to the chromatography equations. Zbl 1416.35163
Pan, Lijun; Han, Xinli; Li, Tong; Guo, Lihui
3
2018
Stability of strong detonation waves and rates of convergence. Zbl 0893.35069
Li, Tong
3
1998
Stability of traveling wave solutions of nonlinear conservation laws for image processing. Zbl 1375.35033
Li, Tong; Park, Jeungeun
2
2017
Linear and nonlinear exponential stability of traveling waves for hyperbolic systems with relaxation. Zbl 1184.35048
Li, Tong; Wu, Yaping
2
2009
Time-asymptotic limit of solutions of a combustion problem. Zbl 0920.35026
Li, Tong
2
1998
Analysis of non-isentropic compressible Euler equations with relaxation. Zbl 1332.35291
Li, Tong; Zhao, Kun
2
2015
An augmented Keller-Segel model for E. coli chemotaxis in fast-varying environments. Zbl 1339.35334
Li, Tong; Tang, Min; Yang, Xu
2
2016
Stability of a transonic profile arising from divergent detonations. Zbl 0970.35118
Li, Tong
1
2000
Stability of traveling waves of models for image processing with non-convex nonlinearity. Zbl 1394.35034
Li, Tong; Park, Jeungeun
1
2018
Global existence and large time behavior of a 2D Keller-Segel system in logarithmic Lebesgue spaces. Zbl 1429.35030
Deng, Chao; Li, Tong
1
2019
On the stability of the improved Aw-Rascle-Zhang model with Chaplygin pressure. Zbl 1479.35562
Chen, Tingting; Jiang, Weifeng; Li, Tong
1
2021
Critical thresholds in a quasilinear hyperbolic model of blood flow. Zbl 1185.35137
Li, Tong; Čanić, Sunčica
1
2009
Instability and formation of clustering solutions of traffic flow. Zbl 1163.90407
Li, Tong
1
2007
Stability and instability of detonation waves. Zbl 0926.35019
Li, Tong
1
1999
Global existence and long-time behavior of entropy weak solutions to a quasilinear hyperbolic blood flow model. Zbl 1262.35156
Li, Tong; Zhao, Kun
1
2011
Existence of intermediate weak solution to the equations of multi-dimensional chemotaxis systems. Zbl 1331.35224
Li, Tong; Suen, Anthony
1
2016
Qualitative analysis of some PDE models of traffic flow. Zbl 1277.35100
Li, Tong
1
2013
Oscillatory traveling wave solutions to an attractive chemotaxis system. Zbl 1350.35055
Li, Tong; Liu, Hailiang; Wang, Lihe
1
2016
On the stability of the improved Aw-Rascle-Zhang model with Chaplygin pressure. Zbl 1479.35562
Chen, Tingting; Jiang, Weifeng; Li, Tong
1
2021
Sonic-supersonic solutions for the two-dimensional pseudo-steady full Euler equations. Zbl 1437.35487
Hu, Yanbo; Li, Tong
7
2019
Traveling waves in a chemotaxis model with logistic growth. Zbl 1423.35060
Li, Tong; Park, Jeungeun
5
2019
Global existence and large time behavior of a 2D Keller-Segel system in logarithmic Lebesgue spaces. Zbl 1429.35030
Deng, Chao; Li, Tong
1
2019
The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term. Zbl 1387.35407
Guo, Lihui; Li, Tong; Pan, Lijun; Han, Xinli
12
2018
An improved regularity result of semi-hyperbolic patch problems for the 2-D isentropic Euler equations. Zbl 1395.35060
Hu, Yanbo; Li, Tong
6
2018
The generalized Riemann problem and instability of delta shock to the chromatography equations. Zbl 1416.35163
Pan, Lijun; Han, Xinli; Li, Tong; Guo, Lihui
3
2018
Stability of traveling waves of models for image processing with non-convex nonlinearity. Zbl 1394.35034
Li, Tong; Park, Jeungeun
1
2018
The vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source term. Zbl 1357.35221
Guo, Lihui; Li, Tong; Yin, Gan
27
2017
The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term. Zbl 1373.35047
Guo, Lihui; Li, Tong; Yin, Gan
24
2017
Stability of traveling wave solutions of nonlinear conservation laws for image processing. Zbl 1375.35033
Li, Tong; Park, Jeungeun
2
2017
An augmented Keller-Segel model for E. coli chemotaxis in fast-varying environments. Zbl 1339.35334
Li, Tong; Tang, Min; Yang, Xu
2
2016
Existence of intermediate weak solution to the equations of multi-dimensional chemotaxis systems. Zbl 1331.35224
Li, Tong; Suen, Anthony
1
2016
Oscillatory traveling wave solutions to an attractive chemotaxis system. Zbl 1350.35055
Li, Tong; Liu, Hailiang; Wang, Lihe
1
2016
Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms. Zbl 1322.35054
Li, Tong; Suen, Anthony; Winkler, Michael; Xue, Chuan
62
2015
Analysis of non-isentropic compressible Euler equations with relaxation. Zbl 1332.35291
Li, Tong; Zhao, Kun
2
2015
Stability of traveling waves of the Keller-Segel system with logarithmic sensitivity. Zbl 1311.35021
Li, Jingyu; Li, Tong; Wang, Zhi-An
39
2014
Well-posedness of a 3D parabolic-hyperbolic Keller-Segel system in the Sobolev space framework. Zbl 1293.35342
Deng, Chao; Li, Tong
22
2014
A new car-following model with two delays. Zbl 1396.90024
Yu, Lei; Shi, Zhong-ke; Li, Tong
5
2014
Qualitative analysis of some PDE models of traffic flow. Zbl 1277.35100
Li, Tong
1
2013
Global dynamics of a hyperbolic-parabolic model arising from chemotaxis. Zbl 1244.35150
Li, Tong; Pan, Ronghua; Zhao, Kun
42
2012
Steadily propagating waves of a chemotaxis model. Zbl 1316.92013
Li, Tong; Wang, Zhi-An
37
2012
Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis. Zbl 1213.35109
Li, Tong; Wang, Zhi-An
59
2011
On a hyperbolic-parabolic system modeling chemotaxis. Zbl 1230.35070
Li, Dong; Li, Tong; Zhao, Kun
56
2011
Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313
Li, Dong; Li, Tong
18
2011
Exponential stability of large-amplitude traveling fronts for quasi-linear relaxation systems with diffusion. Zbl 1223.37099
Wang, Lina; Wu, Yaping; Li, Tong
4
2011
Global existence and long-time behavior of entropy weak solutions to a quasilinear hyperbolic blood flow model. Zbl 1262.35156
Li, Tong; Zhao, Kun
1
2011
Nonlinear stability of large amplitude viscous shock waves of a generalized hyperbolic – parabolic system arising in chemotaxis. Zbl 1213.35081
Li, Tong; Wang, Zhi-An
49
2010
The effect of diffusion in a new viscous continuum traffic model. Zbl 1237.90060
Yu, Lei; Li, Tong; Shi, Zhong-Ke
6
2010
Nonlinear stability of traveling waves to a hyperbolic-parabolic system modeling chemotaxis. Zbl 1206.35041
Li, Tong; Wang, Zhi-An
67
2009
Critical thresholds in hyperbolic relaxation systems. Zbl 1170.35062
Li, Tong; Liu, Hailiang
11
2009
Periodic traveling waves in SIRS endemic models. Zbl 1165.35311
Li, Tong; Li, Yi; Hethcote, Herbert W.
8
2009
Critical thresholds in a relaxation system with resonance of characteristic speeds. Zbl 1171.35428
Li, Tong; Liu, Hailiang
4
2009
Linear and nonlinear exponential stability of traveling waves for hyperbolic systems with relaxation. Zbl 1184.35048
Li, Tong; Wu, Yaping
2
2009
Critical thresholds in a quasilinear hyperbolic model of blood flow. Zbl 1185.35137
Li, Tong; Čanić, Sunčica
1
2009
Stability of traveling waves in quasi-linear hyperbolic systems with relaxation and diffusion. Zbl 1177.35133
Li, Tong
13
2008
Critical thresholds in a relaxation model for traffic flows. Zbl 1152.35006
Li, Tong; Liu, Hailiang
6
2008
Instability and formation of clustering solutions of traffic flow. Zbl 1163.90407
Li, Tong
1
2007
Nonlinear dynamics of traffic jams. Zbl 1074.35072
Li, Tong
14
2005
Stability of a traffic flow model with nonconvex relaxation. Zbl 1099.35156
Li, Tong; Liu, Hailiang
8
2005
Modelling traffic flow with a time-dependent fundamental diagram. Zbl 1041.35035
Li, Tong
4
2004
Global solutions of nonconcave hyperbolic conservation laws with relaxation arising from traffic flow. Zbl 1015.35066
Li, Tong
17
2003
Well-posedness theory of an inhomogeneous traffic flow model. Zbl 1162.35415
Li, Tong
6
2002
Global solutions and zero relaxation limit for a traffic flow model. Zbl 0979.35096
Li, Tong
10
2000
Stability of a transonic profile arising from divergent detonations. Zbl 0970.35118
Li, Tong
1
2000
Stability and instability of detonation waves. Zbl 0926.35019
Li, Tong
1
1999
Stability of strong detonation waves and rates of convergence. Zbl 0893.35069
Li, Tong
3
1998
Time-asymptotic limit of solutions of a combustion problem. Zbl 0920.35026
Li, Tong
2
1998
Rigorous asymptotic stability of a Chapman-Jouguet detonation wave in the limit of small resolved heat release. Zbl 1140.80403
Li, Tong
7
1997
On the initiation problem for a combustion model. Zbl 0808.35073
Li, Tong
7
1994
On the Riemann problem for a combustion model. Zbl 0810.35059
Li, Tong
4
1993
all top 5

Cited by 421 Authors

26 Li, Tong
26 Wang, Zhian
16 Zhao, Kun
11 Hu, Yanbo
10 Winkler, Michael
9 Sun, Meina
9 Zheng, Jiashan
8 Shen, Chun
7 Guo, Lihui
7 Liu, Zhengrong
7 Mu, Chunlai
7 Peng, Hongyun
7 Wang, Yilong
7 Xiang, Zhaoyin
6 Lee, Yongki
6 Liu, Hailiang
6 Zhu, Neng
5 Choi, Sun-Ho
5 Goatin, Paola
5 Hou, Qianqian
5 Salako, Rachidi Bolaji
5 Shen, Wenxian
5 Wang, Lina
5 Zhang, Yu
5 Zheng, Pan
4 Chen, Tingting
4 Choi, Kyudong
4 Fan, Yongqiang
4 Granero Belinchón, Rafael
4 Jiang, Weifeng
4 Jin, Haiyang
4 Kim, Yong Jung
4 Lankeit, Johannes
4 Li, Jingyu
4 Li, Xie
4 Shao, Zhiqiang
4 Wang, Liangchen
4 Wang, Zhen
4 Zhang, Yanyan
4 Zumbrun, Kevin R.
3 Bellomo, Nicola
3 Cao, Xinru
3 Chae, Myeongju
3 Cheng, Rongjun
3 Cheung, Ka-Luen
3 Conejero, José Alberto
3 Ge, Hongxia
3 Ke, Yuanyuan
3 Lyng, Gregory Daniel
3 Razani, Abdolrahman
3 Sheng, Shouqiong
3 Suen, Anthony
3 Tan, Changhui
3 Wang, Wei
3 Wang, Yulan
3 Xue, Chuan
3 Yin, Gan
3 You, Shouke
3 Zeng, Yanni
3 Zhang, Peng
3 Zheng, Sining
3 Zhu, Changjiang
2 Ahn, Jaewook
2 Ai, Shangbing
2 Ai, Wenhuan
2 Baghaei, Khadijeh
2 Bellouquid, Abdelghani
2 Bhatnagar, Manas
2 Bramburger, Jason J.
2 Braukhoff, Marcel
2 Bürger, Raimund
2 Chen, Jianjun
2 Chiarello, Felisia Angela
2 Colombo, Rinaldo M.
2 Dafermos, Constantine M.
2 Deng, Chao
2 Dong, Ying
2 Erban, Radek
2 Fu, Xiaoyu
2 Garavello, Mauro
2 Guerra, Graziano
2 Herty, Michael Matthias
2 Hwang, Hyung Ju
2 Jafaripournimchahi, Ammar
2 Kang, Moon-Jin
2 Keimer, Alexander
2 Khelghati, Ali
2 Lai, Geng
2 Li, Dan
2 Li, Huicong
2 Li, Shuangrong
2 Lin, Taichia
2 Lin, Xiuli
2 Liu, Dawei
2 Liu, Ji
2 Liu, Jiang
2 Lv, Ping
2 Martinez, Vincent R.
2 Murillo-Arcila, Marina
2 Natalini, Roberto
...and 321 more Authors
all top 5

Cited in 95 Serials

46 Journal of Differential Equations
26 Journal of Mathematical Analysis and Applications
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Discrete and Continuous Dynamical Systems. Series B
12 Discrete and Continuous Dynamical Systems
10 Nonlinear Analysis. Real World Applications
9 Journal of Mathematical Physics
9 Physica D
7 Mathematical Methods in the Applied Sciences
7 Physica A
7 Applied Mathematics Letters
7 SIAM Journal on Mathematical Analysis
6 Communications on Pure and Applied Analysis
5 Applicable Analysis
5 Computers & Mathematics with Applications
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Calculus of Variations and Partial Differential Equations
5 Journal of Evolution Equations
4 Nonlinearity
4 Acta Applicandae Mathematicae
4 Boundary Value Problems
4 Advances in Mathematical Physics
3 International Journal of Control
3 Bulletin of Mathematical Biology
3 Indiana University Mathematics Journal
3 Quarterly of Applied Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Dynamics and Differential Equations
3 Communications in Nonlinear Science and Numerical Simulation
3 Open Mathematics
2 Archive for Rational Mechanics and Analysis
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Mathematical Biology
2 Applied Mathematics and Computation
2 Mathematische Nachrichten
2 Applied Mathematical Modelling
2 Computational and Applied Mathematics
2 Nonlinear Dynamics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Mathematical Biosciences and Engineering
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Discrete and Continuous Dynamical Systems. Series S
2 Kinetic and Related Models
2 Science China. Mathematics
2 Advances in Nonlinear Analysis
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Mathematical Biosciences
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of the Korean Mathematical Society
1 Monatshefte für Mathematik
1 Numerische Mathematik
1 Results in Mathematics
1 Ricerche di Matematica
1 Semigroup Forum
1 Applied Mathematics and Mechanics. (English Edition)
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Numerical Mathematics
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 European Journal of Applied Mathematics
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Russian Journal of Mathematical Physics
1 Advances in Differential Equations
1 Mathematical Problems in Engineering
1 Mathematics and Mechanics of Solids
1 Differential Equations and Dynamical Systems
1 Discrete Dynamics in Nature and Society
1 Journal of Mathematical Fluid Mechanics
1 European Journal of Mechanics. B. Fluids
1 Acta Mathematica Sinica. English Series
1 Qualitative Theory of Dynamical Systems
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Multiscale Modeling & Simulation
1 Communications in Mathematical Analysis
1 Networks and Heterogeneous Media
1 Mathematical Modelling of Natural Phenomena
1 International Journal of Biomathematics
1 Journal of Control Science and Engineering
1 Analysis and Mathematical Physics
1 Mathematical Control and Related Fields
1 Journal of Theoretical Biology
1 Palestine Journal of Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SN Partial Differential Equations and Applications

Citations by Year