Edit Profile (opens in new tab) Li, Tatsien Co-Author Distance Author ID: li.tatsien Published as: Li, Tatsien; Li, Ta-Tsien; Li, Ta-tsien; Li, Daqian; Li, Ta Tsien; Lee, Da-tsin; Li, Tatsien (Daqian); Li, Da-qian; Li, Tatsian; Li, T. T.; Li, T.; Li, Ta-sien; Li Ta-Tsien; Li, TaTsien; Lee, D. T.; Li, Daiqan; Li, D.-q.; Li, T.-T.; Lee, D. more...less Homepage: http://math.fudan.edu.cn/homepage/LiDaqian/ External Links: MGP · dblp · GND Documents Indexed: 278 Publications since 1964, including 13 Books and 1 Additional arXiv Preprint 31 Contributions as Editor · 11 Further Contributions Biographic References: 1 Publication Co-Authors: 92 Co-Authors with 242 Joint Publications 3,908 Co-Co-Authors all top 5 Co-Authors 59 single-authored 60 Rao, Bopeng 17 Zhou, Yi 15 Kong, Dexing 12 Damlamian, Alain 11 Yu, Wenci 10 Wang, Libin 9 Lü, Xing 9 Peng, Yuejun 8 Gu, Qilong 7 Chen, Yunmei 7 Wang, Zhiqiang 7 Zhao, Yanchun 6 Leugering, Günter 6 Shen, Weixi 6 Tan, Yongji 6 Wang, Yue 5 Cai, Zhijie 5 Qin, Tiehu 5 Yu, Lei 5 Yu, Xin 4 Coron, Jean-Michel 4 Jin, Yi 4 Yu, Wentzu 3 Gu, Chaohao 3 Hu, Long 3 Shi, Jiahong 3 Xue, Mi 3 Yu, Lixin 3 Zhou, Chunlian 3 Zhuang, Kaili 2 Chen, Wei 2 Ciarlet, Philippe Gaston 2 Cioranescu, Doina 2 Ge, Molin 2 Hong, Jiaxing 2 Hu, Hesheng 2 Jiang, Song 2 LeFloch, Philippe Gerard 2 Li, Ruixia 2 Lü, Fang 2 Miara, Bernadette 2 Qu, Peng 2 Rodrigues, José Francisco 2 Sheng, Wancheng 2 Tsuji, Mikio 2 Zhang, Pingwen 2 Zhang, Weiping 2 Zu, Chengxia 1 Albrecht, Thomas 1 Bao, Gang 1 Beirão da Veiga, Hugo 1 Blackburn, Hugh M. 1 Brézis, Haïm 1 Chang, Kung-Ching 1 Chen, Gui-Qiang G. 1 Chen, Shuxing 1 de Mottoni, Piero 1 Gao, Ruxi 1 Greenberg, James M. 1 Hsiao, Ling 1 Huang, Yumin 1 Jeltsch, Rolf 1 Lee, Jaehun 1 Lei, Zhen 1 Li, Caizhong 1 Li, Likang 1 Li, Yachun 1 Lin, Longwei 1 Lin, Zhengyan 1 Liu, Fagui 1 Maday, Yvon 1 Mimura, Masayasu 1 Nishiura, Yasumasa 1 Palha, Artur 1 Ruiz, Jérémy 1 Saker, Samir H. 1 Serre, Denis 1 Shao, Zhiqiang 1 Shen, Chunli 1 Shi, Yuming 1 Singh, Jagmohan 1 Sloan, Ian Hugh 1 Wang, Jingnong 1 Wang, Ke 1 Wang, Weimin 1 Wei, Yimin 1 White, Luther W. 1 Xin, Yuanlong 1 Xu, Yulan 1 Yan, Jinhai 1 Yang, Chen-Ning 1 Yang, Chung-Chun 1 Yang, Yongfu 1 Zhang, Chenghui 1 Zhang, Hao 1 Zheng, Songmu 1 Zhu, Chen all top 5 Serials 30 Chinese Annals of Mathematics. Series B 14 Series in Contemporary Applied Mathematics CAM 13 Comptes Rendus de l’Académie des Sciences. Série I 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 Mathematical Methods in the Applied Sciences 10 SIAM Journal on Control and Optimization 8 Asymptotic Analysis 8 Communications in Partial Differential Equations 7 Discrete and Continuous Dynamical Systems 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 5 Journal of Partial Differential Equations 4 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Nonlinear Analysis. Theory, Methods & Applications 3 Inverse Problems 3 Journal of Mathematical Analysis and Applications 3 Chinese Annals of Mathematics 3 Acta Mathematica Scientia 3 Methods and Applications of Analysis 3 Communications on Pure and Applied Analysis 3 Scientia Sinica 2 Applicable Analysis 2 Acta Mathematica Sinica 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Chinese Annals of Mathematics. Series A 2 Journal of Fudan University. Natural Science 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Applied Mathematics. Series A (Chinese Edition) 2 Nonlinear Analysis. Real World Applications 2 Series in Contemporary Mathematics 2 Progress in Nonlinear Differential Equations and Their Applications 2 SpringerBriefs in Mathematics 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 Information Processing Letters 1 Journal of Computational Physics 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Portugaliae Mathematica 1 Acta Mathematicae Applicatae Sinica 1 Fudan Journal. (Natural Science) 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Biomathematics 1 Journal of Partial Differential Equations. Series A 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Surveys on Mathematics for Industry 1 SIAM Journal on Mathematical Analysis 1 Applied Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Nonlinear World 1 Georgian Mathematical Journal 1 Nonlinear Studies 1 RIMS Kokyuroku 1 Journal of Mathematical Study 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Portugaliae Mathematica. Nova Série 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Hyperbolic Differential Equations 1 International Journal of Numerical Analysis and Modeling 1 Chinese Mathematics 1 Duke University Mathematics Series 1 Pitman Monographs and Surveys in Pure and Applied Mathematics 1 Pitman Research Notes in Mathematics Series 1 Nankai Series in Pure, Applied Mathematics and Theoretical Physics 1 International Journal of Dynamical Systems and Differential Equations 1 Science China. Mathematics 1 Journal of Mathematical Research with Applications 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 AIMS Series on Applied Mathematics 1 Research in Applied Mathematics 1 Other Titles in Applied Mathematics 1 Annals of Mathematical Sciences and Applications all top 5 Fields 267 Partial differential equations (35-XX) 114 Systems theory; control (93-XX) 32 General and overarching topics; collections (00-XX) 23 Mechanics of deformable solids (74-XX) 20 Fluid mechanics (76-XX) 17 Numerical analysis (65-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 9 Geophysics (86-XX) 5 History and biography (01-XX) 4 Differential geometry (53-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 224 Publications have been cited 2,867 times in 1,196 Documents Cited by ▼ Year ▼ Boundary value problems for quasilinear hyperbolic systems. Zbl 0627.35001 Li, Ta-tsien; Yu, Wen-ci 295 1985 Global classical solutions for quasilinear hyperbolic systems. Zbl 0841.35064 Li, Ta-tsien 255 1994 Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\). Zbl 0872.35067 Li, Ta-Tsien; Zhou, Yi 96 1995 Controllability and observability for quasilinear hyberbolic systems. Zbl 1198.93003 Li, Tatsien 90 2010 Exact boundary controllability for quasilinear hyperbolic systems. Zbl 1032.35124 Li, Ta-Tsien; Rao, Bo-Peng 87 2003 The effect of boundary damping for the quasilinear wave equation. Zbl 0576.35080 Greenberg, J. M.; Li, Tatsien 72 1984 Global classical solutions for general quasilinear hyperbolic systems with decay initial data. Zbl 0874.35068 Li, Ta-Tsien; Zhou, Yi; Kong, Dexing 70 1997 Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems. Zbl 0810.35054 Li, Tatsien; Zhou, Yi; Kong, Dexing 68 1994 Local exact boundary controllability for a class of quasilinear hyperbolic systems. Zbl 1184.35196 Li, Tatsien; Rao, Bopeng 56 2002 Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems. Zbl 1005.35058 Li, Tatsien; Jin, Yi 55 2001 Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1262.35155 Li, Tatsien; Rao, Bopeng 53 2013 Global classical solutions for nonlinear evolution equations. Zbl 0787.35002 Li, Ta-Tsien; Chen, Yunmei 51 1992 Strong (weak) exact controllability and strong (weak) exact observability for quasilinear hyperbolic systems. Zbl 1206.35168 Li, Tatsien; Rao, Bopeng 38 2010 Life-span of classical solutions to fully nonlinear wave equations. Zbl 0743.35011 Li, Tatsien; Yu, Xin 35 1991 A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions. Zbl 0851.35094 Li, Ta-Tsien; Zhou, Yi 31 1995 Criteria of Kalman’s type to the approximate controllability and the approximate synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1327.93084 Li, Tatsien; Rao, Bopeng 30 2016 Boundary synchronization for hyperbolic systems. Zbl 1443.93002 Li, Tatsien; Rao, Bopeng 28 2019 Physics and partial differential equations. Volume II. Translated from the Chinese by Yachun Li. Zbl 1329.35002 Li, Tatsien; Qin, Tiehu 27 2014 Initial value problems for nonlinear wave equations. Zbl 0662.35071 Li, Tatsien; Chen, Yunmei 27 1988 On a free boundary problem. Zbl 0479.35075 Li, Daqian 27 1980 Global propagation of regular nonlinear hyperbolic waves. Zbl 1179.35006 Li, Tatsien; Wang, Libin 26 2009 Global classical solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems. Zbl 1067.35044 Li, Tatsien; Wang, Libin 26 2005 Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1316.35182 Li, Tatsien; Rao, Bopeng 25 2014 Physics and partial differential equations. Volume I. Translated from the Chinese by Yachun Li. Zbl 1266.35001 Li, Tatsien; Qin, Tiehu 25 2012 Generalized exact boundary synchronization for a coupled system of wave equations. Zbl 1281.93023 Li, Tatsien; Rao, Bopeng; Wei, Yimin 24 2014 Exact boundary synchronization for a coupled system of 1-D wave equations. Zbl 1332.35213 Li, Tatsien; Rao, Bopeng; Hu, Long 24 2014 Exact boundary controllability of nodal profile for quasilinear hyperbolic systems. Zbl 1205.35161 Li, Tatsien 23 2010 Boundary homogenization for elliptic problems. Zbl 0658.35023 Damlamian, Alain; Li, Ta-Tsien 23 1987 Exact boundary controllability for 1-D quasilinear wave equations. Zbl 1116.93021 Li, Tatsien; Yu, Lixin 23 2006 Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1327.93083 Li, Tatsien; Rao, Bopeng 22 2016 On the exactly synchronizable state to a coupled system of wave equations. Zbl 1339.93014 Li, Tatsien; Rao, Bopeng 22 2015 Exact boundary controllability and observability for first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions. Zbl 1211.93024 Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang 21 2010 Exact boundary controllability of nodal profile for quasilinear hyperbolic systems. Zbl 1417.93016 Li, Tatsien; Wang, Ke; Gu, Qilong 20 2016 Global classical discontinuous solutions to a class of generalized Riemann problem for general quasilinear hyperbolic systems of conservation laws. Zbl 0926.35083 Li, Tatsien; Kong, Dexing 20 1999 Boundary value problems with equivalued surface and resistivity well-logging. Zbl 0919.35001 Li, Tatsien; Zheng, Songmu; Tan, Yongji; Shen, Weixi 20 1998 Oscillation of fourth-order delay differential equations. Zbl 1314.34140 Zhang, C.; Li, T.; Saker, S. H. 19 2014 Exact controllability for quasilinear hyperbolic systems and its application to unsteady flows in a network of open canals. Zbl 1151.93316 Li, Tatsien 19 2004 A class of non-local boundary value problems for partial differential equations and its applications in numerical analysis. Zbl 0693.35003 Li, Tatsien 19 1989 Global smooth solution of Cauchy problems for a class of quasilinear hyperbolic systems. Zbl 0517.35057 Hsiao, Ling; Li, Ta-Tsien 19 1983 Nonlinear wave equations. Translated from the Chinese by Yachun Li. Zbl 1411.35004 Li, Tatsien; Zhou, Yi 18 2017 Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. (Synchronisation exacte d’un système couplé d’équations des ondes par des contrôles frontières de Dirichlet.) Zbl 1254.35228 Li, Tatsien; Rao, Bopeng 18 2012 On the approximate boundary synchronization for a coupled system of wave equations: direct and indirect controls. Zbl 1415.93022 Li, Tatsien; Rao, Bopeng 18 2018 Exact boundary synchronization for a coupled system of 1-D wave equations with coupled boundary conditions of dissipative type. Zbl 1277.35243 Hu, Long; Li, Tatsien; Rao, Bopeng 17 2014 A note on the exact synchronization by groups for a coupled system of wave equations. Zbl 1330.35245 Li, Tatsien; Rao, Bopeng 17 2015 Breakdown of classical solutions to quasilinear hyperbolic systems. Zbl 0953.35090 Li, Tatsien; Kong, De-xing 17 2000 Exact controllability for first order quasilinear hyperbolic systems with zero eigenvalues. Zbl 1045.35044 Li, Tatsien; Yu, Lixin 15 2003 The generalized Riemann problem for the motion of elastic strings. Zbl 0794.35101 Li, Ta-Tsien; Serre, D.; Zhang, Hao 15 1992 Exact boundary controllability for a coupled system of wave equations with Neumann boundary controls. Zbl 1364.93068 Li, Tatsien; Rao, Bopeng 14 2017 Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals. Zbl 1264.35261 Gu, Qilong; Li, Tatsien 14 2013 The mixed initial-boundary value problem for reducible quasilinear hyperbolic systems with linearly degenerate characteristics. Zbl 1027.35065 Li, Ta-Tsien; Peng, Yue-Jun 14 2003 Exact boundary synchronization for a coupled system of wave equations with Neumann boundary controls. Zbl 1391.93039 Li, Tatsien; Lu, Xing; Rao, Bopeng 14 2018 Problèmes d’onde centrée pour les systèmes hyperboliques quasi linéaires et applications. (Problem of centered wave for quasilinear hyperbolic systems and applications). Zbl 0582.35078 Li, Tatsien; Yu, Wenci 14 1984 Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms. Zbl 0582.35079 Li, Daqian; Qin, Tiehu 14 1985 Nonlinear heat conduction with finite speed of propagation. Zbl 0959.35088 Li, Tatsien 13 1997 Life-span of classical solutions to nonlinear wave equations in two space dimensions. Zbl 0840.35064 Li, Ta-Tsien; Zhou, Yi 13 1994 Exact boundary controllability of unsteady flows in a network of open canals. Zbl 1066.93005 Li, Tatsien 12 2005 Blow up of periodic solutions to quasilinear hyperbolic systems. Zbl 0858.35016 Li, Tatsien; Kong, Dexing 12 1996 Global exact controllability of a class of quasilinear hyperbolic systems. Zbl 0915.93007 Li, Ta-sien; Zhang, Bing-Yu 12 1998 Life-span of classical solutions to one dimensional nonlinear wave equations. Zbl 0796.35108 Li, Tatsien; Yu, Xin; Zhou, Yi 12 1992 Nonlinear stability for two space dimensional wave equations with higher order perturbations. Zbl 0803.35100 Li, Tatsien; Zhou, Yi 11 1994 Exact boundary observability for quasilinear hyperbolic systems. Zbl 1155.93015 Li, Tatsien 11 2008 Global exact boundary controllability for first order quasilinear hyperbolic systems of diagonal form. Zbl 1168.35388 Li, Tatsien; Wang, Zhiqiang 11 2007 Centered waves for quasilinear hyperbolic systems. Zbl 0601.35069 Li, Daqian; Yu, Wenci 11 1986 Global classical solutions for quasilinear nonstrictly hyperbolic systems. Zbl 0867.35058 Li, Tatsien; Kong, Dexing; Zhou, Yi 11 1996 The centered wave problem for quasilinear hyperbolic systems. Zbl 0642.35056 Li, Daqian; Yu, Wenci 11 1986 Life-span of classical solutions to fully nonlinear wave equations. II. Zbl 0798.35104 Li, Tatsien; Zhou, Yi 11 1992 Exact boundary controllability of nodal profile for quasilinear hyperbolic systems in a tree-like network. Zbl 1223.35221 Gu, Qilong; Li, Tatsien 11 2011 Global regularity and formation of singularities of solutions to first order quasilinear hyperbolic systems. Zbl 0453.35056 Lee, Da-tsin 11 1981 Semi-global \(C^1\) solution and exact boundary controllability for quasilinear hyperbolic systems. (Solution \(C^1\) semi-globale et contrôlabilité exacte frontière de systèmes hyperboliques quasi linéaires.) Zbl 1031.93099 Li, Tatsien; Rao, Bopeng; Jin, Yi 10 2001 A global asymptotic expansion for the solution to the generalized Riemann problem. Zbl 0731.35006 Le Floch, Philippe; Li, Tatsien 10 1990 A note on the generalized Riemann problem. Zbl 0744.35022 Li, Tatsien 10 1991 Exact controllability for first order quasilinear hyperbolic systems with internal controls. Zbl 1330.35248 Zhuang, Kaili; Li, Tatsien; Rao, Bopeng 9 2016 Singularity caused by eigenvectors for quasilinear hyperbolic systems. Zbl 1027.35073 Li, Ta-Tsien; Liu, Fa-Gui 9 2003 Life-span of classical solutions to nonlinear wave equations in two- space-dimensions. II. Zbl 0798.35105 Li, Tatsien; Zhou, Yi 9 1993 Global existence of classical solutions to the typical free boundary problem for general quasilinear hyperbolic systems and its applications. Zbl 0696.35200 Li, Daqian; Zhao, Yanchun 9 1990 Exact boundary observability for 1-D quasilinear wave equations. Zbl 1100.35017 Li, Tatsien 9 2006 A note on the all nearest-neighbor problem for convex polygons. Zbl 0399.68071 Yang, C. C.; Lee, D. T. 9 1979 Entropy solutions for linearly degenerate hyperbolic systems of rich type. Zbl 1177.37043 Li, Ta-Tsien; Peng, Yue-Jun; Ruiz, Jérémy 9 2009 Approximate boundary null controllability and approximate boundary synchronization for a coupled system of wave equations with Neumann boundary controls. Zbl 1405.93039 Li, Tatsien; Lu, Xing; Rao, Bopeng 9 2018 The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws. Zbl 1078.35068 Li, T.; Wang, L. 9 2005 Semtex: a spectral element-Fourier solver for the incompressible Navier-Stokes equations in cylindrical or Cartesian coordinates. Zbl 1515.65256 Blackburn, H. M.; Lee, D.; Albrecht, T.; Singh, J. 9 2019 Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls. Zbl 1470.93026 Li, Tatsien; Lu, Xing; Rao, Bopeng 8 2021 Criteria of Kálmán’s type for the approximate controllability and the approximate synchronization of a coupled system of wave equations. (Critères du type de Kálmán pour la contrôlabilité approchée et la synchronisation approchée d’un système couplé d’équations des ondes.) Zbl 1304.93030 Li, Tatsien; Rao, Bopeng 8 2015 Global existence of weakly discontinuous solutions to the Cauchy problem with a kind of non-smooth initial data for quasilinear hyperbolic systems. Zbl 1064.35103 Li, Tatsien; Wang, Libin 8 2004 Exact boundary controllability for quasilinear wave equations. Zbl 1105.93013 Li, Tatsien 8 2006 Total flux (nonlocal) boundary value problems for pseudoparabolic equations. Zbl 0525.35021 Li, Ta-Tsien; White, L. W. 8 1983 One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws. Zbl 1368.35180 Li, Tatsien; Yu, Lei 7 2017 Exact boundary observability for quasilinear hyperbolic systems. (Observabilité exacte frontière pour des systèmes hyperboliques quasi-linéaires.) Zbl 1101.93021 Li, Tatsien 7 2006 Exact boundary controllability of unsteady flows in a tree-like network of open canals. Zbl 1171.93315 Li, Ta-Tsien; Rao, Bopeng 7 2004 Asymptotic controllability for linear hyperbolic systems. Zbl 1244.35083 Li, Tatsien; Rao, Bopeng 7 2011 Contrôlabilité exacte frontière pour les équations des ondes quasi linéaires unidimensionnelles. (Exact boundary controllability for 1-D quasilinear wave equations). Zbl 1029.93036 Li, Tatsien; Yu, Lixin 7 2003 Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings. Zbl 1180.35326 Gu, Qilong; Li, Tatsien 7 2009 A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere. Zbl 1453.86025 Lee, D.; Palha, A. 7 2020 On the exactly synchronizable state to a coupled system of wave equations. (Sur l’état de synchronisation exacte d’un système couplé d’équations des ondes.) Zbl 1302.93126 Li, Tatsien; Rao, Bopeng 6 2014 One-side exact controllability and observability for quasilinear hyperbolic systems. (Contrôlabilité et observabilité unilatérales de systèmes hyperboliques quasi-linéaires.) Zbl 1147.93009 Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang 6 2008 Cauchy problem for weakly linearly degenerate hyperbolic systems in diagonal form. Zbl 1036.35124 Li, Ta-Tsien; Peng, Yue-Jun 6 2003 Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems. Zbl 1043.35103 Li, Ta-Tsien; Wang, Libin B. 6 2004 Global \(C^1\) solution to the initial-boundary value problem for diagonal hyperbolic systems with linearly degenerate characteristics. Zbl 1045.35043 Li, Tatsien; Peng, Yue-Jun 6 2003 Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions. Zbl 1467.93041 Li, Tatsien; Rao, Bopeng 6 2021 Homogénéisation sur le bord pour les problèmes elliptiques. (Homogenization of the boundary conditions for elliptic problems). Zbl 0575.35020 Damlamian, Alain; Li, Daqian 6 1984 Exact internal controllability and synchronization for a coupled system of wave equations. Zbl 1530.93039 Zu, Chengxia; Li, Tatsien; Rao, Bopeng 2 2023 Exactly synchronizable state and approximate controllability for a coupled system of wave equations with locally distributed controls. Zbl 1519.93033 Li, Tatsien; Rao, Bopeng 1 2023 Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides. Zbl 1507.35270 Li, Tatsien; Rao, Bopeng 3 2022 Exact boundary controllability of weak solutions for a kind of first order hyperbolic system – the HUM method. Zbl 1487.93014 Lu, Xing; Li, Tatsien 3 2022 Uniqueness theorem for a coupled system of wave equations with incomplete internal observation and application to approximate controllability. (Théorème d’unicité pour un système d’équations des ondes avec observation interne incomplète et application à la contrôlabilité approachée.) Zbl 1497.93020 Li, Tatsien; Rao, Bopeng 3 2022 Exact boundary synchronization for a kind of first order hyperbolic system. Zbl 1492.93021 Li, Tatsien; Lu, Xing 3 2022 A note on the indirect controls for a coupled system of wave equations. Zbl 1504.93026 Li, Tatsien; Rao, Bopeng 1 2022 Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems. II: case of multiple feedback dampings. Zbl 1505.93192 Li, Tatsien; Rao, Bopeng 1 2022 Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls. Zbl 1470.93026 Li, Tatsien; Lu, Xing; Rao, Bopeng 8 2021 Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions. Zbl 1467.93041 Li, Tatsien; Rao, Bopeng 6 2021 Exact boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary controls on a general bounded domain. Zbl 1475.93059 Lu, Xing; Li, Ta-tsien; Rao, Bopeng 5 2021 Sufficiency of Kalman’s rank condition for the approximate boundary controllability on a spherical domain. Zbl 1478.93071 Zu, Chengxia; Li, Tatsien; Rao, Bopeng 5 2021 Exact boundary controllability of weak solutions for a kind of first order hyperbolic system – the constructive method. Zbl 1476.93081 Lu, Xing; Li, Tatsien 4 2021 A cut-off method to realize the exact boundary controllability of nodal profile for Saint-Venant systems on general networks with loops. Zbl 1467.35214 Li, Tatsien; Zhuang, Kaili 2 2021 Exact boundary controllability of partial nodal profile for network of strings. Zbl 1478.93068 Wang, Yue; Li, Tatsien 2 2021 Uniform synchronization of an abstract linear second order evolution system. Zbl 1470.93071 Li, Tatsien; Rao, Bopeng 1 2021 A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere. Zbl 1453.86025 Lee, D.; Palha, A. 7 2020 On the synchronizable system. Zbl 1459.35278 Lei, Zhen; Li, Tatsien; Rao, Bopeng 5 2020 Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems. Zbl 1461.93416 Li, Tatsien; Rao, Bopeng 4 2020 Uniqueness theorem for partially observed elliptic systems and application to asymptotic synchronization. (Théorème d’unicité de systèmes elliptiques partiellement observés et application à la synchronisation asymptotique.) Zbl 1445.35012 Li, Tatsien; Rao, Bopeng 3 2020 Boundary synchronization for hyperbolic systems. Zbl 1443.93002 Li, Tatsien; Rao, Bopeng 28 2019 Semtex: a spectral element-Fourier solver for the incompressible Navier-Stokes equations in cylindrical or Cartesian coordinates. Zbl 1515.65256 Blackburn, H. M.; Lee, D.; Albrecht, T.; Singh, J. 9 2019 Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops. Zbl 1423.35245 Zhuang, Kaili; Leugering, Günter; Li, Tatsien 6 2019 Local exact one-sided boundary null controllability of entropy solutions to a class of hyperbolic systems of balance laws. Zbl 1411.35202 Li, Tatsien; Yu, Lei 5 2019 Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions. Zbl 1437.35509 Wang, Yue; Leugering, Günter; Li, Tatsien 2 2019 Exact boundary controllability of nodal profile for hyperbolic systems. Zbl 1463.93017 Li, Tatsien 1 2019 One-dimensional hyperbolic conservation laws and their applications. Lecture notes for the LIASFMA Shanghai summer school, Shanghai, China, August 16–27, 2015. Zbl 1415.35003 1 2019 1-d wave equations coupled via viscoelastic springs and masses: boundary controllability of a quasilinear and exponential stabilizability of a linear model. Zbl 1428.35235 Leugering, Günter; Li, Tatsien; Wang, Yue 1 2019 On the approximate boundary synchronization for a coupled system of wave equations: direct and indirect controls. Zbl 1415.93022 Li, Tatsien; Rao, Bopeng 18 2018 Exact boundary synchronization for a coupled system of wave equations with Neumann boundary controls. Zbl 1391.93039 Li, Tatsien; Lu, Xing; Rao, Bopeng 14 2018 Approximate boundary null controllability and approximate boundary synchronization for a coupled system of wave equations with Neumann boundary controls. Zbl 1405.93039 Li, Tatsien; Lu, Xing; Rao, Bopeng 9 2018 Nonlinear wave equations. Translated from the Chinese by Yachun Li. Zbl 1411.35004 Li, Tatsien; Zhou, Yi 18 2017 Exact boundary controllability for a coupled system of wave equations with Neumann boundary controls. Zbl 1364.93068 Li, Tatsien; Rao, Bopeng 14 2017 One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws. Zbl 1368.35180 Li, Tatsien; Yu, Lei 7 2017 Exact boundary controllability for 1-D quasilinear wave equations with dynamical boundary conditions. Zbl 1391.35283 Wang, Yue; Leugering, Günter; Li, Tatsien 4 2017 Exact boundary controllability on a tree-like network of nonlinear planar Timoshenko beams. Zbl 1401.35287 Gu, Qilong; Leugering, Günter; Li, Tatsien 3 2017 Criteria of Kalman’s type to the approximate controllability and the approximate synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1327.93084 Li, Tatsien; Rao, Bopeng 30 2016 Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1327.93083 Li, Tatsien; Rao, Bopeng 22 2016 Exact boundary controllability of nodal profile for quasilinear hyperbolic systems. Zbl 1417.93016 Li, Tatsien; Wang, Ke; Gu, Qilong 20 2016 Exact controllability for first order quasilinear hyperbolic systems with internal controls. Zbl 1330.35248 Zhuang, Kaili; Li, Tatsien; Rao, Bopeng 9 2016 From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems. Zbl 1339.93026 Li, TaTsien 5 2016 Exact boundary synchronization for a coupled system of 1-D quasilinear wave equations. Zbl 1350.93040 Hu, Long; Li, Tatsien; Qu, Peng 2 2016 A new approach for the approximate synchronization for a coupled system of wave equations: direct and indirect controls. (Une nouvelle approche pour la synchronisation approchée d’un système couplé d’équations des ondes: contrôles directs et indirects.) Zbl 1347.93055 Li, Tatsien; Rao, Bopeng 2 2016 On the exactly synchronizable state to a coupled system of wave equations. Zbl 1339.93014 Li, Tatsien; Rao, Bopeng 22 2015 A note on the exact synchronization by groups for a coupled system of wave equations. Zbl 1330.35245 Li, Tatsien; Rao, Bopeng 17 2015 Criteria of Kálmán’s type for the approximate controllability and the approximate synchronization of a coupled system of wave equations. (Critères du type de Kálmán pour la contrôlabilité approchée et la synchronisation approchée d’un système couplé d’équations des ondes.) Zbl 1304.93030 Li, Tatsien; Rao, Bopeng 8 2015 A note on the exact synchronization by groups for a coupled system of wave equations. Zbl 1332.35209 Li, Tatsien; Rao, Bopeng 5 2015 Physics and partial differential equations. Volume II. Translated from the Chinese by Yachun Li. Zbl 1329.35002 Li, Tatsien; Qin, Tiehu 27 2014 Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1316.35182 Li, Tatsien; Rao, Bopeng 25 2014 Generalized exact boundary synchronization for a coupled system of wave equations. Zbl 1281.93023 Li, Tatsien; Rao, Bopeng; Wei, Yimin 24 2014 Exact boundary synchronization for a coupled system of 1-D wave equations. Zbl 1332.35213 Li, Tatsien; Rao, Bopeng; Hu, Long 24 2014 Oscillation of fourth-order delay differential equations. Zbl 1314.34140 Zhang, C.; Li, T.; Saker, S. H. 19 2014 Exact boundary synchronization for a coupled system of 1-D wave equations with coupled boundary conditions of dissipative type. Zbl 1277.35243 Hu, Long; Li, Tatsien; Rao, Bopeng 17 2014 On the exactly synchronizable state to a coupled system of wave equations. (Sur l’état de synchronisation exacte d’un système couplé d’équations des ondes.) Zbl 1302.93126 Li, Tatsien; Rao, Bopeng 6 2014 Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1328.35255 Li, Tatsien; Rao, Bopeng 4 2014 Exact boundary synchronization for a coupled system of wave equations. Zbl 1311.35144 Li, Tatsien 3 2014 Periodic homogenization for inner boundary conditions with equi-valued surfaces: the unfolding approach. Zbl 1332.35023 Cioranescu, Doina; Damlamian, Alain; Li, Tatsien 1 2014 Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1262.35155 Li, Tatsien; Rao, Bopeng 53 2013 Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals. Zbl 1264.35261 Gu, Qilong; Li, Tatsien 14 2013 Periodic homogenization for inner boundary conditions with equi-valued surfaces: the unfolding approach. Zbl 1320.35042 Cioranescu, Doina; Damlamian, Alain; Li, Tatsien 5 2013 In memory of Professor Chen Jiangong (Chen Kien Kwong) on the 120th anniversary of his birth. Zbl 1299.01014 Li, Daqian; Lin, Zhengyan 1 2013 Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls. (Contrôlabilité asymptotique et synchronisation asymptotique d’un système couplé d’équations des ondes avec des contrôles frontières de Dirichlet.) Zbl 1276.93018 Li, Tatsien; Rao, Bopeng 1 2013 Physics and partial differential equations. Volume I. Translated from the Chinese by Yachun Li. Zbl 1266.35001 Li, Tatsien; Qin, Tiehu 25 2012 Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. (Synchronisation exacte d’un système couplé d’équations des ondes par des contrôles frontières de Dirichlet.) Zbl 1254.35228 Li, Tatsien; Rao, Bopeng 18 2012 Exact boundary controllability of nodal profile for quasilinear hyperbolic systems in a tree-like network. Zbl 1223.35221 Gu, Qilong; Li, Tatsien 11 2011 Asymptotic controllability for linear hyperbolic systems. Zbl 1244.35083 Li, Tatsien; Rao, Bopeng 7 2011 Exact boundary controllability for quasilinear hyperbolic systems on a tree-like network and its applications. Zbl 1237.35120 Gu, Qilong; Li, Tatsien 5 2011 A constructive method to controllability and observability for quasilinear hyperbolic systems. Zbl 1276.35114 Li, Tatsien 1 2011 Exact boundary observability for quasilinear wave equations in a planar tree-like network of strings. Zbl 1213.35313 Gu, Qilong; Li, Tatsien 1 2011 Asymptotic controllability for linear hyperbolic systems. (Contrôlabilité asymptotique de systèmes hyperboliques linéaires.) Zbl 1221.35224 Li, Tatsien; Rao, Bopeng 1 2011 Controllability and observability for quasilinear hyberbolic systems. Zbl 1198.93003 Li, Tatsien 90 2010 Strong (weak) exact controllability and strong (weak) exact observability for quasilinear hyperbolic systems. Zbl 1206.35168 Li, Tatsien; Rao, Bopeng 38 2010 Exact boundary controllability of nodal profile for quasilinear hyperbolic systems. Zbl 1205.35161 Li, Tatsien 23 2010 Exact boundary controllability and observability for first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions. Zbl 1211.93024 Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang 21 2010 Global exact boundary controllability for first order quasilinear hyperbolic systems. Zbl 1213.35299 Li, Tatsien (Daqian) 6 2010 Exact controllability and exact observability for quasilinear hyperbolic systems: known results and open problems. Zbl 1223.35004 Li, Tatsien; Rao, Bopeng 3 2010 Global propagation of regular nonlinear hyperbolic waves. Zbl 1179.35006 Li, Tatsien; Wang, Libin 26 2009 Entropy solutions for linearly degenerate hyperbolic systems of rich type. Zbl 1177.37043 Li, Ta-Tsien; Peng, Yue-Jun; Ruiz, Jérémy 9 2009 Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings. Zbl 1180.35326 Gu, Qilong; Li, Tatsien 7 2009 Nonlinear conservation laws, fluid systems and related topics. Papers based mainly on the lectures given in the 2007 Shanghai summer school, July 5–August 4, 2007. Zbl 1201.76009 5 2009 Exact controllability for first order quasilinear hyperbolic systems with vertical characteristics. Zbl 1212.93023 Li, Tatsien; Rao, Bopeng 5 2009 Mechanism of the formation of singularities for quasilinear hyperbolic systems. Zbl 1173.35584 Li, Tatsien (Daqian) 4 2009 Exact boundary observability of unsteady flows in a tree-like network of open canals. Zbl 1155.35401 Gu, Qilong; Li, Tatsien 3 2009 A note on the one-side exact boundary controllability for quasilinear hyperbolic systems. Zbl 1152.35425 Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang 1 2009 Exact boundary observability for quasilinear hyperbolic systems. Zbl 1155.93015 Li, Tatsien 11 2008 One-side exact controllability and observability for quasilinear hyperbolic systems. (Contrôlabilité et observabilité unilatérales de systèmes hyperboliques quasi-linéaires.) Zbl 1147.93009 Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang 6 2008 A note on the one-side exact boundary observability for quasilinear hyperbolic systems. Zbl 1157.35418 Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang 5 2008 Mechanism of the formation of singularities for quasilinear hyperbolic systems with linearly degenerate characteristic fields. Zbl 1209.35076 Li, Ta-Tsien; Peng, Yue-Jun; Yang, Yong-Fu; Zhou, Yi 4 2008 Global exact boundary controllability for first order quasilinear hyperbolic systems of diagonal form. Zbl 1168.35388 Li, Tatsien; Wang, Zhiqiang 11 2007 Existence and uniqueness of global solution to an inverse piston problem. Zbl 1115.35152 Li, Tatsien; Wang, Libin 6 2007 Inverse piston problem for the system of one-dimensional isentropic flow. Zbl 1134.35108 Li, Tatsien; Wang, Libin 6 2007 A note on the exact controllability for nonautonomous hyperbolic systems. Zbl 1141.93012 Li, Tatsien; Wang, Zhiqiang 4 2007 Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system. Zbl 1109.35067 Li, Ta-Tsien; Shao, Zhi-Qiang; Kong, De-Xing 2 2007 Exact boundary controllability for 1-D quasilinear wave equations. Zbl 1116.93021 Li, Tatsien; Yu, Lixin 23 2006 Exact boundary observability for 1-D quasilinear wave equations. Zbl 1100.35017 Li, Tatsien 9 2006 Exact boundary controllability for quasilinear wave equations. Zbl 1105.93013 Li, Tatsien 8 2006 Exact boundary observability for quasilinear hyperbolic systems. (Observabilité exacte frontière pour des systèmes hyperboliques quasi-linéaires.) Zbl 1101.93021 Li, Tatsien 7 2006 Blow-up mechanism of classical solutions to quasilinear hyperbolic systems in the critical case. Zbl 1106.35033 Li, Tatsien; Wang, Libin 4 2006 Global exact shock reconstruction for quasilinear hyperbolic systems of conservation laws. Zbl 1116.35092 Li, Tatsien; Wang, Libin 4 2006 Global classical solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems. Zbl 1067.35044 Li, Tatsien; Wang, Libin 26 2005 ...and 124 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,089 Authors 91 Li, Tatsien 43 Rao, Bopeng 26 Zhou, Yi 25 Kong, Dexing 24 Lai, Geng 23 Gugat, Martin 23 Shao, Zhiqiang 22 Coron, Jean-Michel 22 Leugering, Günter 22 Sheng, Wancheng 19 Qu, Peng 18 Li, Yachun 18 Yin, Huicheng 17 Wakasugi, Yuta 17 Zhu, Shengguo 16 Hu, Yanbo 15 Chen, Shuxing 15 Xin, Zhouping 14 Lai, Ningan 14 Liu, Jianli 14 Takamura, Hiroyuki 14 Wang, Libin 14 Zha, Dongbing 13 Wang, Ke 13 Wang, Zhiqiang 12 Chen, Gui-Qiang G. 12 Fang, Beixiang 12 Herty, Michael Matthias 12 Hu, Long 12 Ikeda, Masahiro 12 Lü, Xing 12 Prieur, Christophe 11 Han, Wei 11 Hidano, Kunio 11 Li, Fengquan 10 Nishihara, Kenji 9 Aamo, Ole Morten 9 Chen, Geng 9 Li, Jiequan 9 Liu, Cunming 9 Peng, Yuejun 9 Yuan, Hairong 9 Zhong, Xin 8 Ding, Min 8 Gu, Qilong 8 Hayat, Amaury 8 Moaaz, Osama 8 Olive, Guillaume 8 Shang, Peipei 8 Yu, Lixin 7 Aliev, Akbar B. 7 Bastin, Georges 7 Du, Yi 7 Liu, Fagui 7 Lyubanova, Anna Sh. 7 Reissig, Michael 7 Sekhar, T. Raja 7 Wang, Chengbo 7 Wang, Yanyan 7 Wang, Yue 7 Yang, Tong 7 Zhang, Yongqian 7 Zheng, Yuxi 7 Zhuang, Kaili 6 Anfinsen, Henrik 6 Bazighifan, Omar 6 Chechkin, Gregory Aleksandrovich 6 Chen, Jianjun 6 Feldman, Mikhail 6 Hayashi, Nakao 6 Ikehata, Ryo 6 Li, Dening 6 Nguyen, Hoai-Minh 6 Pan, Ronghua 6 Sobajima, Motohiro 6 Takeda, Hiroshi 6 Wakasa, Kyouhei 6 Xiang, Wei 5 Amar, Micol 5 Andreucci, Daniele 5 Ben-Artzi, Matania 5 Elabbasy, Elmetwally M. 5 Ervedoza, Sylvain 5 Guo, Fei 5 Jiang, Mina 5 Kmit, Irina 5 Li, Jun 5 Naumkin, Pavel Ivanovich 5 Qu, Aifang 5 Timofte, Claudia 5 Witt, Ingo 5 Xu, Cheng-Zhong 5 Yang, Yongfu 5 Yao, Zhengan 5 Yu, Huimin 5 Yu, Lei 5 Zhu, Changjiang 4 Auriol, Jean 4 Barthwal, Rahul 4 Dai, Wenrong ...and 989 more Authors all top 5 Cited in 206 Serials 97 Journal of Differential Equations 91 Journal of Mathematical Analysis and Applications 71 Nonlinear Analysis. Theory, Methods & Applications. 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Series A 2 European Journal of Applied Mathematics 2 Journal of Elasticity ...and 106 more Serials all top 5 Cited in 41 Fields 1,043 Partial differential equations (35-XX) 323 Fluid mechanics (76-XX) 311 Systems theory; control (93-XX) 54 Numerical analysis (65-XX) 53 Mechanics of deformable solids (74-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 38 Ordinary differential equations (34-XX) 19 Operations research, mathematical programming (90-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Operator theory (47-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Relativity and gravitational theory (83-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Quantum theory (81-XX) 9 Computer science (68-XX) 9 Biology and other natural sciences (92-XX) 8 Geophysics (86-XX) 7 Differential geometry (53-XX) 7 Probability theory and stochastic processes (60-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Convex and discrete geometry (52-XX) 6 Optics, electromagnetic theory (78-XX) 5 Functional analysis (46-XX) 5 Astronomy and astrophysics (85-XX) 4 Real functions (26-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral equations (45-XX) 2 Combinatorics (05-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year