×

zbMATH — the first resource for mathematics

Kong, Dexing

Compute Distance To:
Author ID: kong.dexing Recent zbMATH articles by "Kong, Dexing"
Published as: Kong, De-Xing; Kong, Dexing; Kong, De-xing; Kong, De Xing; Kong, DeXing; Kong, D.
Documents Indexed: 115 Publications since 1991, including 2 Books
all top 5

Serials

6 Physics Letters. A
6 Journal of Differential Equations
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Journal of Fudan University. Natural Science
5 Journal of Mathematical Physics
5 Communications in Partial Differential Equations
5 Applied Mathematics. Series B (English Edition)
4 Journal of Mathematical Analysis and Applications
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Journal of Hyperbolic Differential Equations
4 Science China. Mathematics
3 IMA Journal of Applied Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications
2 Physica A
2 Acta Mathematica Hungarica
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Journal of Partial Differential Equations
2 Journal of Shanghai Jiaotong University (English Edition)
2 Communications in Theoretical Physics
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 International Journal of Non-Linear Mechanics
1 Mathematical Methods in the Applied Sciences
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Geometry and Physics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Funkcialaj Ekvacioj. Serio Internacia
1 Journal of Computational and Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Systems & Control Letters
1 Acta Mathematicae Applicatae Sinica
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series A
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Systems Science and Mathematical Sciences
1 SIAM Journal on Applied Mathematics
1 Journal of Mathematical Imaging and Vision
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Computational Mathematics
1 Nonlinear Studies
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 The Asian Journal of Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Applied Mathematics
1 Boundary Value Problems
1 Pure and Applied Mathematics Quarterly
1 MSJ Memoirs
1 Numerical Mathematics: Theory, Methods and Applications

Publications by Year

Citations contained in zbMATH Open

80 Publications have been cited 661 times in 268 Documents Cited by Year
Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems. Zbl 0810.35054
Li, Tatsien; Zhou, Yi; Kong, Dexing
54
1994
Global classical solutions for general quasilinear hyperbolic systems with decay initial data. Zbl 0874.35068
Li, Ta-Tsien; Zhou, Yi; Kong, Dexing
53
1997
Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields. Zbl 1129.35047
Dai, Wen-Rong; Kong, De-Xing
35
2007
Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data. Zbl 0961.35085
Kong, Dexing
32
2000
The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\). Zbl 1113.81109
Kong, DeXing; Zhang, Qiang; Zhou, Qing
26
2007
Asymptotic behavior of global classical solutions of quasilinear hyperbolic systems. Zbl 1024.35068
Kong, Dexing; Yang, Tong
26
2003
Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities. Zbl 1015.35069
Kong, De-Xing
22
2003
Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction waves. Zbl 1093.35049
Kong, De-Xing
21
2005
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
Wave character of metrics and hyperbolic geometric flow. Zbl 1152.81515
Kong, De-Xing; Liu, Kefeng
19
2007
Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases. Zbl 1256.35084
Kong, Dexing; Liu, Kefeng; Wang, Yuzhu
17
2010
The equation for time-like extremal surfaces in Minkowski space \(\mathbb R^{2+n}\). Zbl 1111.53053
Kong, De-Xing; Sun, Qing-You; Zhou, Yi
16
2006
Breakdown of classical solutions to quasilinear hyperbolic systems. Zbl 0953.35090
Li, Tatsien; Kong, De-xing
16
2000
Formation and propagation of singularities for \(2\times 2\) quasilinear hyperbolic systems. Zbl 1003.35079
Kong, De-xing
15
2002
Hyperbolic mean curvature flow. Zbl 1159.53024
He, Chun-Lei; Kong, De-Xing; Liu, Kefeng
14
2009
Formation and propagation of singularities in one-dimensional Chaplygin gas. Zbl 1284.35260
Kong, De-Xing; Wei, Changhua
13
2014
Solution formula and time-periodicity for the motion of relativistic strings in the Minkowski space \(\mathbb R^{1+n}\). Zbl 1173.37068
Kong, De-Xing; Zhang, Qiang
13
2009
The hyperbolic geometric flow on Riemann surfaces. Zbl 1291.30243
Kong, De-Xing; Liu, Kefeng; Xu, De-Liang
13
2009
Blow up of periodic solutions to quasilinear hyperbolic systems. Zbl 0858.35016
Li, Tatsien; Kong, Dexing
12
1996
Cauchy problem for quasilinear hyperbolic systems. Zbl 0959.35003
Kong, De Xing
11
2000
Hyperbolic geometric flow. I: Short-time existence and nonlinear stability. Zbl 1232.58020
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
10
2010
Nonlocal total variation models for multiplicative noise removal using split Bregman iteration. Zbl 1255.94013
Dong, Fangfang; Zhang, Haili; Kong, De-Xing
9
2012
Formation of singularities in the motion of plane curves under hyperbolic mean curvature flow. Zbl 1195.53093
Kong, De-Xing; Wang, Zeng-Gui
9
2009
Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data. Zbl 1227.35205
Kong, De-Xing; Liu, Kefeng; Wang, Yu-Zhu
9
2011
Dissipative hyperbolic geometric flow. Zbl 1165.58013
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
9
2008
Explicit exact solutions for the Liénard equation and its applications. Zbl 0941.35545
Kong, De Xing
8
1995
Maximum principle in nonlinear hyperbolic systems and its applications. Zbl 0962.35031
Kong, De-Xing
8
1998
Shock reflection for general quasilinear hyperbolic systems of conservation laws. Zbl 1109.35072
Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun
7
2007
Time-periodic solutions of the Einstein’s field equations. I: General framework. Zbl 1196.83012
Kong, DeXing; Liu, KeFeng
7
2010
Blowup of solutions to generalized Riemann problem for quasilinear hyperbolic systems of conservation laws. Zbl 1067.35046
Dai, Hui-Hui; Kong, De-Xing
7
2004
Hyperbolic mean curvature flow: evolution of plane curves. Zbl 1212.58018
Kong, Dexing; Liu, Kefeng; Wang, Zenggui
7
2009
Life-span of classical solutions to reducible quasilinear hyperbolic system and its application. Zbl 0817.35057
Kong, Dexing
6
1992
Global solutions for \(2\times 2\) hyperbolic systems with linearly degenerate characteristics. Zbl 1141.35416
Kong, De-xing; Tsuji, Mikio
6
1999
New variational formulations for level set evolution without reinitialization with applications to image segmentation. Zbl 1255.68252
Liu, Chunxiao; Dong, Fangfang; Zhu, Shengfeng; Kong, Dexing; Liu, Kefeng
6
2011
A note on “Well-posedness theory for hyperbolic conservation laws”. Zbl 1073.35159
Kong, De-Xing; Yang, T.
5
2003
Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws. Zbl 1094.35079
Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun
5
2006
Time-periodic solutions of the Einstein’s field equations. II: Geometric singularities. Zbl 1195.83011
Kong, DeXing; Liu, KeFeng; Shen, Ming
5
2010
Spherical symmetric solutions for the motion of relativistic membranes in the Schwarzschild spacetime. Zbl 1298.83024
He, Chun-Lei; Kong, De-Xing
5
2009
A note on blow-up phenomenon of classical solutions to quasilinear hyperbolic systems. Zbl 1006.35061
Kong, De-xing; Li, Ta-tsien
5
2002
Formation of singularities in one-dimensional Chaplygin gas. Zbl 1310.35154
Kong, De-Xing; Wei, Changhua; Zhang, Qiang
5
2014
Einstein’s hyperbolic geometric flow. Zbl 1311.35136
Kong, De-Xing; Wang, Jinhua
4
2014
Initial value problem for general quasilinear hyperbolic systems with characteristics with constant multiplicity. Zbl 0891.35082
Li, Tatsien; Kong, Dexing
4
1997
Equations for the motion of relativistic torus in the Minkowski space \(\mathbb R_{1+n}\). Zbl 1152.81479
Huang, Shou-Jun; Kong, De-Xing
4
2007
Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime. Zbl 1370.83011
Kong, De-Xing; Wei, Chang-Hua
4
2017
Global exact boundary controllability of a class of quasilinear hyperbolic systems of conservation laws. II. Zbl 1105.93012
Kong, De-Xing; Yao, Hui
3
2005
Time-periodic solutions of the Einstein’s field equations. III: Physical singularities. Zbl 1218.83011
Kong, Dexing; Liu, Kefeng; Shen, Ming
3
2011
Formation of singularities in one-dimensional hydromagnetic flow. Zbl 1267.76035
Kong, De-Xing
3
2002
Global classical solutions with small amplitude for general quasilinear hyperbolic systems. Zbl 0963.35116
Li, Ta-Tsien; Kong, Dexing
3
1999
Life-span of classical solutions of nonlinear hyperbolic systems. Zbl 0862.35067
Kong, Dexing
3
1996
Generalized Ricci flow I: Local existence and uniqueness. Zbl 1182.35145
He, Chun-Lei; Hu, Sen; Kong, De-Xing; Liu, Kefeng
3
2008
On small univoque bases of real numbers. Zbl 1399.11032
Kong, D.
3
2016
The propagation of impact-induced tensile waves in a kind of phase-transforming materials. Zbl 1138.74350
Dai, Hui-Hui; Kong, De-Xing
2
2006
Global structure stability of impact-induced tensile waves in a rubber-like material. Zbl 1114.74024
Dai, Huihui; Kong, Dexing
2
2006
Long-time behaviour of smooth solutions to the compressible Euler equations with damping in several space variables. Zbl 1250.35147
Kong, De-Xing; Wang, Yu-Zhu
2
2012
Geometric approach for finding exact solutions to nonlinear partial differential equations. Zbl 0947.35028
Kong, De-xing; Hu, Hai-rong
2
1998
Corrigendum to “Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields” [J. Differential equations 235 (2007) 127-165]. Zbl 1141.35413
Dai, Wen-Rong; Kong, De-Xing
2
2007
Mathematical theory and analytical solutions for the wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1371.74043
Huang, Shou-Jun; Dai, Hui-Hui; Chen, Zhen; Kong, De-Xing
2
2012
Blowup of smooth solutions of a class of complex conservation laws. Zbl 1306.35072
Kong, De-Xing; Wei, Chang-Hua
2
2013
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
Potential links by neighbor communities. Zbl 1402.91644
Xie, Zheng; Dong, Enming; Li, Jianping; Kong, Dexing; Wu, Ning
2
2014
The third boundary value problems of one dimensional quasilinear wave equations. Zbl 0773.35039
Kong, Dexing
1
1991
Global solutions with shock waves to the generalized Riemann problem for a system of hyperbolic conservation laws with linear damping. Zbl 1109.35074
Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun
1
2007
A primal-dual hybrid gradient algorithm to solve the LLT model for image denoising. Zbl 1265.68329
Liu, Chunxiao; Kong, Dexing; Zhu, Shengfeng
1
2012
Integration of Monge-Ampère equations and surfaces with negative Gaussian curvature. Zbl 0978.53006
Ha Tien Ngoan; Kong, Dexing; Tsuji, Mikio
1
1998
Exact solutions to a class of quasilinear hyperbolic systems. Zbl 1020.35503
Kong, De Xing; Ni, Guang Jiong
1
1995
Global classical solutions for quasilinear nonstrictly hyperbolic systems. Zbl 0867.35058
Li, Tatsien; Kong, Dexing; Zhou, Yi
1
1996
Weak linear degeneracy and global existence of classical solutions for quasilineaer hyperbolic systems. Zbl 0885.35068
Li, Tatsien; Zhou, Yi; Kong, Dexing
1
1997
Cauchy problem for quasilinear hyperbolic systems with higher order dissipative terms. Zbl 0934.35099
Kong, Dexing
1
1997
Cauchy problem for first order quasilinear hyperbolic systems. Zbl 0938.35573
Kong, Dexing
1
1994
Global exact boundary controllability of a class of quasilinear hyperbolic systems of conservation laws. Zbl 1106.93306
Kong, De-Xing
1
2002
Lectures on applied partial differential equations. Zbl 1234.35004
Jiang, Li Shang; Kong, De Xing; Chen, Zhi Hao
1
2008
Hyperbolic Yamabe problem. Zbl 1389.35229
Kong, Dexing; Liu, Qi
1
2017
Global existence of smooth solutions to relativistic string equations in Schwarzschild space-time for small initial data. Zbl 1334.35344
He, Chun-Lei; Huang, Shou-Jun; Kong, De-Xing
1
2016
Global weakly discontinuous solutions to quasilinear hyperbolic systems of conservation laws with damping with a kind of non-smooth initial data. Zbl 1200.35184
Shao, Zhi-Qiang; Li, Ya-Chun; Kong, De-Xing
1
2008
A random geometric graph built on a time-varying Riemannian manifold. Zbl 1400.05215
Xie, Zheng; Zhu, Jiang; Kong, Dexing; Li, Jianping
1
2015
Recent advances of variational models in medical imaging and applications to computer aided surgery. Zbl 1289.92033
Peng, Jialin; Dong, Fangfang; Kong, Dexing
1
2012
The global existence and the life span of smooth solutions to a class of complex conservation laws. Zbl 1284.35267
Kong, De-Xing; Wei, Chang-Hua
1
2014
Classical solutions to a dissipative hyperbolic geometry flow in two space variables. Zbl 1428.53107
Kong, De-Xing; Liu, Qi; Song, Chang-Ming
1
2019
Global existence of classical solutions to the hyperbolic geometry flow with time-dependent dissipation. Zbl 1438.53128
Kong, Dexing; Liu, Qi
1
2018
Life-span of classical solutions to hyperbolic geometry flow equation in several space dimensions. Zbl 1399.35008
Kong, Dexing; Liu, Qi; Song, Changming
1
2017
Classical solutions to a dissipative hyperbolic geometry flow in two space variables. Zbl 1428.53107
Kong, De-Xing; Liu, Qi; Song, Chang-Ming
1
2019
Global existence of classical solutions to the hyperbolic geometry flow with time-dependent dissipation. Zbl 1438.53128
Kong, Dexing; Liu, Qi
1
2018
Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime. Zbl 1370.83011
Kong, De-Xing; Wei, Chang-Hua
4
2017
Hyperbolic Yamabe problem. Zbl 1389.35229
Kong, Dexing; Liu, Qi
1
2017
Life-span of classical solutions to hyperbolic geometry flow equation in several space dimensions. Zbl 1399.35008
Kong, Dexing; Liu, Qi; Song, Changming
1
2017
On small univoque bases of real numbers. Zbl 1399.11032
Kong, D.
3
2016
Global existence of smooth solutions to relativistic string equations in Schwarzschild space-time for small initial data. Zbl 1334.35344
He, Chun-Lei; Huang, Shou-Jun; Kong, De-Xing
1
2016
A random geometric graph built on a time-varying Riemannian manifold. Zbl 1400.05215
Xie, Zheng; Zhu, Jiang; Kong, Dexing; Li, Jianping
1
2015
Formation and propagation of singularities in one-dimensional Chaplygin gas. Zbl 1284.35260
Kong, De-Xing; Wei, Changhua
13
2014
Formation of singularities in one-dimensional Chaplygin gas. Zbl 1310.35154
Kong, De-Xing; Wei, Changhua; Zhang, Qiang
5
2014
Einstein’s hyperbolic geometric flow. Zbl 1311.35136
Kong, De-Xing; Wang, Jinhua
4
2014
Potential links by neighbor communities. Zbl 1402.91644
Xie, Zheng; Dong, Enming; Li, Jianping; Kong, Dexing; Wu, Ning
2
2014
The global existence and the life span of smooth solutions to a class of complex conservation laws. Zbl 1284.35267
Kong, De-Xing; Wei, Chang-Hua
1
2014
Blowup of smooth solutions of a class of complex conservation laws. Zbl 1306.35072
Kong, De-Xing; Wei, Chang-Hua
2
2013
Nonlocal total variation models for multiplicative noise removal using split Bregman iteration. Zbl 1255.94013
Dong, Fangfang; Zhang, Haili; Kong, De-Xing
9
2012
Long-time behaviour of smooth solutions to the compressible Euler equations with damping in several space variables. Zbl 1250.35147
Kong, De-Xing; Wang, Yu-Zhu
2
2012
Mathematical theory and analytical solutions for the wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1371.74043
Huang, Shou-Jun; Dai, Hui-Hui; Chen, Zhen; Kong, De-Xing
2
2012
A primal-dual hybrid gradient algorithm to solve the LLT model for image denoising. Zbl 1265.68329
Liu, Chunxiao; Kong, Dexing; Zhu, Shengfeng
1
2012
Recent advances of variational models in medical imaging and applications to computer aided surgery. Zbl 1289.92033
Peng, Jialin; Dong, Fangfang; Kong, Dexing
1
2012
Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data. Zbl 1227.35205
Kong, De-Xing; Liu, Kefeng; Wang, Yu-Zhu
9
2011
New variational formulations for level set evolution without reinitialization with applications to image segmentation. Zbl 1255.68252
Liu, Chunxiao; Dong, Fangfang; Zhu, Shengfeng; Kong, Dexing; Liu, Kefeng
6
2011
Time-periodic solutions of the Einstein’s field equations. III: Physical singularities. Zbl 1218.83011
Kong, Dexing; Liu, Kefeng; Shen, Ming
3
2011
Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases. Zbl 1256.35084
Kong, Dexing; Liu, Kefeng; Wang, Yuzhu
17
2010
Hyperbolic geometric flow. I: Short-time existence and nonlinear stability. Zbl 1232.58020
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
10
2010
Time-periodic solutions of the Einstein’s field equations. I: General framework. Zbl 1196.83012
Kong, DeXing; Liu, KeFeng
7
2010
Time-periodic solutions of the Einstein’s field equations. II: Geometric singularities. Zbl 1195.83011
Kong, DeXing; Liu, KeFeng; Shen, Ming
5
2010
Hyperbolic mean curvature flow. Zbl 1159.53024
He, Chun-Lei; Kong, De-Xing; Liu, Kefeng
14
2009
Solution formula and time-periodicity for the motion of relativistic strings in the Minkowski space \(\mathbb R^{1+n}\). Zbl 1173.37068
Kong, De-Xing; Zhang, Qiang
13
2009
The hyperbolic geometric flow on Riemann surfaces. Zbl 1291.30243
Kong, De-Xing; Liu, Kefeng; Xu, De-Liang
13
2009
Formation of singularities in the motion of plane curves under hyperbolic mean curvature flow. Zbl 1195.53093
Kong, De-Xing; Wang, Zeng-Gui
9
2009
Hyperbolic mean curvature flow: evolution of plane curves. Zbl 1212.58018
Kong, Dexing; Liu, Kefeng; Wang, Zenggui
7
2009
Spherical symmetric solutions for the motion of relativistic membranes in the Schwarzschild spacetime. Zbl 1298.83024
He, Chun-Lei; Kong, De-Xing
5
2009
Dissipative hyperbolic geometric flow. Zbl 1165.58013
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
9
2008
Generalized Ricci flow I: Local existence and uniqueness. Zbl 1182.35145
He, Chun-Lei; Hu, Sen; Kong, De-Xing; Liu, Kefeng
3
2008
Lectures on applied partial differential equations. Zbl 1234.35004
Jiang, Li Shang; Kong, De Xing; Chen, Zhi Hao
1
2008
Global weakly discontinuous solutions to quasilinear hyperbolic systems of conservation laws with damping with a kind of non-smooth initial data. Zbl 1200.35184
Shao, Zhi-Qiang; Li, Ya-Chun; Kong, De-Xing
1
2008
Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields. Zbl 1129.35047
Dai, Wen-Rong; Kong, De-Xing
35
2007
The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\). Zbl 1113.81109
Kong, DeXing; Zhang, Qiang; Zhou, Qing
26
2007
Wave character of metrics and hyperbolic geometric flow. Zbl 1152.81515
Kong, De-Xing; Liu, Kefeng
19
2007
Shock reflection for general quasilinear hyperbolic systems of conservation laws. Zbl 1109.35072
Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun
7
2007
Equations for the motion of relativistic torus in the Minkowski space \(\mathbb R_{1+n}\). Zbl 1152.81479
Huang, Shou-Jun; Kong, De-Xing
4
2007
Corrigendum to “Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields” [J. Differential equations 235 (2007) 127-165]. Zbl 1141.35413
Dai, Wen-Rong; Kong, De-Xing
2
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
Global solutions with shock waves to the generalized Riemann problem for a system of hyperbolic conservation laws with linear damping. Zbl 1109.35074
Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun
1
2007
The equation for time-like extremal surfaces in Minkowski space \(\mathbb R^{2+n}\). Zbl 1111.53053
Kong, De-Xing; Sun, Qing-You; Zhou, Yi
16
2006
Global solutions with shock waves to the generalized Riemann problem for a class of quasilinear hyperbolic systems of balance laws. Zbl 1094.35079
Shao, Zhi-Qiang; Kong, De-Xing; Li, Ya-Chun
5
2006
The propagation of impact-induced tensile waves in a kind of phase-transforming materials. Zbl 1138.74350
Dai, Hui-Hui; Kong, De-Xing
2
2006
Global structure stability of impact-induced tensile waves in a rubber-like material. Zbl 1114.74024
Dai, Huihui; Kong, Dexing
2
2006
Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: rarefaction waves. Zbl 1093.35049
Kong, De-Xing
21
2005
Global exact boundary controllability of a class of quasilinear hyperbolic systems of conservation laws. II. Zbl 1105.93012
Kong, De-Xing; Yao, Hui
3
2005
Blowup of solutions to generalized Riemann problem for quasilinear hyperbolic systems of conservation laws. Zbl 1067.35046
Dai, Hui-Hui; Kong, De-Xing
7
2004
Asymptotic behavior of global classical solutions of quasilinear hyperbolic systems. Zbl 1024.35068
Kong, Dexing; Yang, Tong
26
2003
Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities. Zbl 1015.35069
Kong, De-Xing
22
2003
A note on “Well-posedness theory for hyperbolic conservation laws”. Zbl 1073.35159
Kong, De-Xing; Yang, T.
5
2003
Formation and propagation of singularities for \(2\times 2\) quasilinear hyperbolic systems. Zbl 1003.35079
Kong, De-xing
15
2002
A note on blow-up phenomenon of classical solutions to quasilinear hyperbolic systems. Zbl 1006.35061
Kong, De-xing; Li, Ta-tsien
5
2002
Formation of singularities in one-dimensional hydromagnetic flow. Zbl 1267.76035
Kong, De-Xing
3
2002
Global exact boundary controllability of a class of quasilinear hyperbolic systems of conservation laws. Zbl 1106.93306
Kong, De-Xing
1
2002
Life-span of classical solutions to quasilinear hyperbolic systems with slow decay initial data. Zbl 0961.35085
Kong, Dexing
32
2000
Breakdown of classical solutions to quasilinear hyperbolic systems. Zbl 0953.35090
Li, Tatsien; Kong, De-xing
16
2000
Cauchy problem for quasilinear hyperbolic systems. Zbl 0959.35003
Kong, De Xing
11
2000
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
Global solutions for \(2\times 2\) hyperbolic systems with linearly degenerate characteristics. Zbl 1141.35416
Kong, De-xing; Tsuji, Mikio
6
1999
Global classical solutions with small amplitude for general quasilinear hyperbolic systems. Zbl 0963.35116
Li, Ta-Tsien; Kong, Dexing
3
1999
Maximum principle in nonlinear hyperbolic systems and its applications. Zbl 0962.35031
Kong, De-Xing
8
1998
Geometric approach for finding exact solutions to nonlinear partial differential equations. Zbl 0947.35028
Kong, De-xing; Hu, Hai-rong
2
1998
Integration of Monge-Ampère equations and surfaces with negative Gaussian curvature. Zbl 0978.53006
Ha Tien Ngoan; Kong, Dexing; Tsuji, Mikio
1
1998
Global classical solutions for general quasilinear hyperbolic systems with decay initial data. Zbl 0874.35068
Li, Ta-Tsien; Zhou, Yi; Kong, Dexing
53
1997
Initial value problem for general quasilinear hyperbolic systems with characteristics with constant multiplicity. Zbl 0891.35082
Li, Tatsien; Kong, Dexing
4
1997
Weak linear degeneracy and global existence of classical solutions for quasilineaer hyperbolic systems. Zbl 0885.35068
Li, Tatsien; Zhou, Yi; Kong, Dexing
1
1997
Cauchy problem for quasilinear hyperbolic systems with higher order dissipative terms. Zbl 0934.35099
Kong, Dexing
1
1997
Blow up of periodic solutions to quasilinear hyperbolic systems. Zbl 0858.35016
Li, Tatsien; Kong, Dexing
12
1996
Life-span of classical solutions of nonlinear hyperbolic systems. Zbl 0862.35067
Kong, Dexing
3
1996
Global classical solutions for quasilinear nonstrictly hyperbolic systems. Zbl 0867.35058
Li, Tatsien; Kong, Dexing; Zhou, Yi
1
1996
Explicit exact solutions for the Liénard equation and its applications. Zbl 0941.35545
Kong, De Xing
8
1995
Exact solutions to a class of quasilinear hyperbolic systems. Zbl 1020.35503
Kong, De Xing; Ni, Guang Jiong
1
1995
Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems. Zbl 0810.35054
Li, Tatsien; Zhou, Yi; Kong, Dexing
54
1994
Cauchy problem for first order quasilinear hyperbolic systems. Zbl 0938.35573
Kong, Dexing
1
1994
Life-span of classical solutions to reducible quasilinear hyperbolic system and its application. Zbl 0817.35057
Kong, Dexing
6
1992
The third boundary value problems of one dimensional quasilinear wave equations. Zbl 0773.35039
Kong, Dexing
1
1991
all top 5

Cited by 266 Authors

44 Kong, Dexing
24 Shao, Zhiqiang
15 Wei, Changhua
12 Li, Tatsien
12 Qu, Peng
9 Liu, Jianli
9 Wang, Zenggui
8 Wang, Yuzhu
8 Zhou, Yi
7 Huang, Shoujun
7 Wang, Libin
7 Yan, Weiping
6 Guo, Lihui
6 He, Chunlei
6 Liu, Fagui
6 Liu, Kefeng
5 Peng, Yuejun
5 Wang, Yinxia
4 Chen, Geng
4 Dai, Wenrong
4 Han, Wei
4 Li, Yachun
4 Liu, Cunming
4 Shen, Ming
4 Yang, Yongfu
4 Yin, Gan
3 Li, Tong
3 Manfrin, Renato
3 Ming, Sen
3 Sheng, Wancheng
3 Wang, Guodong
3 Wang, Jinhua
3 Zhang, Qiang
3 Zhu, Shengfeng
3 Zhu, Shengguo
2 Adali, Sarp
2 Azami, Shahroud
2 Bruch, John C. jun.
2 Chen, Gui-Qiang G.
2 Dai, Huihui
2 Duan, Yan-Zhi
2 Gao, Ben
2 Han, Xinli
2 Jung, Miyoun
2 Kang, Myeongmin
2 Kang, Myungjoo
2 LeFloch, Philippe Gerard
2 Li, Jianping
2 Liu, Qi
2 Lou, Qiong
2 Novaga, Matteo
2 Orlandi, Giandomenico
2 Pan, Lijun
2 Pan, Ronghua
2 Peng, Jialin
2 Ru, Qiang
2 Sadek, Ibrahim S.
2 Sloss, James M.
2 Wei, Fenglun
2 Xie, Zheng
2 Xin, Zhouping
2 Xu, Yumei
2 Yang, Han
2 Yang, Tong
2 Young, Robin L.
2 Yu, Lei
2 Yuan, Hairong
2 Zha, Dongbing
2 Zhang, Binlin
2 Zhang, Weiguo
1 Abo-Hammour, Za’er S.
1 Adel, Waleed
1 Agarwal, Ravi P.
1 Albadarneh, Ramzi B.
1 Alejo, Miguel A.
1 Arqub, Omar Abu
1 Athanasiou, Nikolaos
1 Banerjee, Abhirup
1 Bellettini, Giovanni
1 Carbou, Gilles
1 Chang, Qianshun
1 Chen, Bangkao
1 Chen, Dai-Qiang
1 Chen, Huazhu
1 Chen, Lixia
1 Chen, Miaomiao
1 Chen, Wenxia
1 Chen, Zili
1 Chen, Zuchi
1 Cheng, Bin
1 Clough, James R.
1 Dang, Liancheng
1 de la Cruz, Richard
1 Deng, Chengzhi
1 Deng, Xiaoyan
1 Deng, Xuemei
1 Ding, Bingbing
1 Ding, Danping
1 Dong, Enming
1 Dong, Fangfang
...and 166 more Authors
all top 5

Cited in 95 Serials

34 Journal of Mathematical Analysis and Applications
27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Journal of Differential Equations
12 Journal of Mathematical Physics
10 Mathematical Methods in the Applied Sciences
9 Science China. Mathematics
8 Chinese Annals of Mathematics. Series B
8 Journal of Hyperbolic Differential Equations
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Boundary Value Problems
4 Acta Mathematicae Applicatae Sinica. English Series
4 Communications in Partial Differential Equations
4 Applied Mathematics. Series B (English Edition)
4 Nonlinear Analysis. Real World Applications
4 Journal of Applied Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications
3 Applicable Analysis
3 Physica A
3 Journal of Geometry and Physics
3 Applied Mathematics and Computation
3 Applied Mathematics and Mechanics. (English Edition)
3 SIAM Journal on Mathematical Analysis
3 Journal of Mathematical Imaging and Vision
3 Mathematical Problems in Engineering
3 Communications on Pure and Applied Analysis
3 Advances in Mathematical Physics
2 Archive for Rational Mechanics and Analysis
2 Journal of Computational Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Advances in Mathematics
2 Journal of Computational and Applied Mathematics
2 Applied Mathematics Letters
2 The Journal of Geometric Analysis
2 Journal of Elasticity
2 Calculus of Variations and Partial Differential Equations
2 Discrete and Continuous Dynamical Systems
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Discrete Dynamics in Nature and Society
1 Modern Physics Letters A
1 Modern Physics Letters B
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Control
1 Indian Journal of Pure & Applied Mathematics
1 Journal of the Franklin Institute
1 Nonlinearity
1 Physics Letters. A
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Archiv der Mathematik
1 Information Sciences
1 Inventiones Mathematicae
1 Journal of Optimization Theory and Applications
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Systems & Control Letters
1 Circuits, Systems, and Signal Processing
1 Acta Applicandae Mathematicae
1 Physica D
1 Applied Numerical Mathematics
1 Journal of Scientific Computing
1 International Journal of Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 Differential Geometry and its Applications
1 Applications of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Journal on Applied Mathematics
1 Journal of Nonlinear Science
1 Computational Optimization and Applications
1 Journal of Mathematical Sciences (New York)
1 Bulletin des Sciences Mathématiques
1 Journal of Vibration and Control
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Journal of Shanghai University
1 Communications of the Korean Mathematical Society
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Contemporary Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Analysis and Applications (Singapore)
1 Journal of the Indonesian Mathematical Society
1 Advances in Difference Equations
1 Complex Analysis and Operator Theory
1 Frontiers of Mathematics in China
1 SIAM Journal on Imaging Sciences
1 International Journal of Biomathematics
1 Advances in Differential Equations and Control Processes
1 Annalen der Physik
1 Mathematical Sciences
1 Mathematics
all top 5

Cited in 36 Fields

211 Partial differential equations (35-XX)
41 Fluid mechanics (76-XX)
33 Differential geometry (53-XX)
23 Relativity and gravitational theory (83-XX)
22 Global analysis, analysis on manifolds (58-XX)
19 Numerical analysis (65-XX)
16 Mechanics of deformable solids (74-XX)
12 Ordinary differential equations (34-XX)
11 Information and communication theory, circuits (94-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Dynamical systems and ergodic theory (37-XX)
6 Operations research, mathematical programming (90-XX)
6 Systems theory; control (93-XX)
5 Computer science (68-XX)
4 Quantum theory (81-XX)
3 Statistics (62-XX)
2 Combinatorics (05-XX)
2 Topological groups, Lie groups (22-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Abstract harmonic analysis (43-XX)
2 Operator theory (47-XX)
2 Optics, electromagnetic theory (78-XX)
2 Astronomy and astrophysics (85-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Functional analysis (46-XX)
1 Manifolds and cell complexes (57-XX)
1 Probability theory and stochastic processes (60-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)

Citations by Year