## Liu, Yue

Compute Distance To:
 Author ID: liu.yue Published as: Liu, Yue; Liu, Y. External Links: MGP
 Documents Indexed: 133 Publications since 1988 Co-Authors: 59 Co-Authors with 94 Joint Publications 2,169 Co-Co-Authors
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### Co-Authors

 16 single-authored 19 Qu, Changzheng 15 Gui, Guilong 14 Chen, Robin Ming 6 Gao, Hongjun 6 Liu, Xiaochuan 6 Mi, Yongsheng 6 Yin, Zhaoyang 5 Fu, Ying 5 Li, Ji 5 Tian, Lixin 4 Guo, Boling 4 Guo, Fei 4 Luo, Ting 4 Zhang, Pingzheng 3 Bona, Jerry Lloyd 3 Chen, Jianqing 3 Feng, Baofeng 3 Olver, Peter John 3 Varlamov, Vladimir V. 3 Wu, Qiliang 3 Zhang, Ying 3 Zhu, Min 2 Escher, Joachim 2 Fan, Lili 2 Han, Chunyan 2 Hu, Tianqiao 2 Luo, Yuanquan 2 Moon, Byungsoo 2 Ohta, Masahito 2 Pelinovsky, Dmitry Efimovich 2 Sakovich, Anton 2 Tom, Michael Mudi 2 Yang, Xiongfeng 2 Yao, Jingjing 2 Zhang, Shuanghu 1 Ba, Zhenning 1 Bian, Ke-Xin 1 Chen, Geng 1 Chen, Yong 1 Chen, Yong 1 Chen, Yuexia 1 Choudhury, Sudipto Roy 1 Di, Huafei 1 Dong, Yi 1 Fan, Xun 1 Fu, Jisai 1 Gao, Ying 1 Guo, Shuxu 1 He, Jin 1 Huang, Daiwen 1 Huang, Lili 1 Hur, Vera Mikyoung 1 Ivanov, Rossen I. 1 Ji, Xiaoliang 1 Jin, Hui 1 Lenells, Jonatan 1 Levandosky, Steve 1 Levandovsky, Steve 1 Li, Kaodui 1 Li, Yu 1 Lin, Zhiwu 1 Lo, Wing-Cheong 1 Luo, Wei 1 Ma, Feiyao 1 Ma, Shuping 1 Mu, Chunlai 1 Mu, Yanping 1 Nguyen, Nghiem V. 1 Qiao, Zhijun 1 Qiu, Xiaoming 1 Ren, Changyu 1 Ruan, Dehao 1 Shang, Deyong 1 Shi, Qing 1 Shi, Zhiyan 1 Su, Youfeng 1 Sun, Junwei 1 Tan, Wenke 1 Tang, Ying 1 Todorova, Grozdena Hr. 1 Tu, Xinyu 1 Wang, Dan 1 Wang, Wei 1 Wang, Weibing 1 Wang, Xiaogang 1 Wang, Xiaohong 1 Wang, Zhong 1 Wu, Fuke 1 Wu, Telan 1 Xie, Zhuyun 1 Xu, Shengyuan 1 Yan, Kai 1 Yan, Shuanglun 1 Zhang, Yanpei 1 Zhu, Xincheng
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### Serials

 15 Journal of Differential Equations 7 Journal of Functional Analysis 6 Communications in Mathematical Physics 6 Advances in Mathematics 5 IMRN. International Mathematics Research Notices 5 SIAM Journal on Mathematical Analysis 4 Indiana University Mathematics Journal 3 Mathematische Annalen 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Quarterly of Applied Mathematics 3 Transactions of the American Mathematical Society 3 Physica D 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Nonlinear Science 3 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Fluid Mechanics 2 Archive for Rational Mechanics and Analysis 2 Nonlinearity 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Journal of Dalian University of Technology 2 Communications in Partial Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Problems in Engineering 2 Probability in the Engineering and Informational Sciences 2 Discrete and Continuous Dynamical Systems. Series B 1 Archives of Mechanics 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Automatica 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics and Computers in Simulation 1 Moscow University Computational Mathematics and Cybernetics 1 Optimal Control Applications & Methods 1 Chinese Annals of Mathematics. Series A 1 Acta Automatica Sinica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Symbolic Computation 1 Acta Physica Sinica 1 Mathematica Applicata 1 Differential and Integral Equations 1 Journal of Dynamics and Differential Equations 1 Applied Mathematics 1 Advances in Differential Equations 1 Engineering Analysis with Boundary Elements 1 European Journal of Mechanics. A. Solids 1 Journal of Systems Science and Complexity 1 Advanced Nonlinear Studies 1 Journal of Jilin University. Science Edition 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Sciences 1 Analysis and Applications (Singapore) 1 Dynamics of Partial Differential Equations 1 Annals of PDE
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### Fields

 113 Partial differential equations (35-XX) 48 Fluid mechanics (76-XX) 21 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of deformable solids (74-XX) 6 Ordinary differential equations (34-XX) 6 Geophysics (86-XX) 5 Systems theory; control (93-XX) 4 Numerical analysis (65-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

105 Publications have been cited 2,697 times in 1,070 Documents Cited by Year
Global existence and blow-up phenomena for the Degasperis-Procesi equation. Zbl 1131.35074
Liu, Yue; Yin, Zhaoyang
2006
Global weak solutions and blow-up structure for the Degasperis-Procesi equation. Zbl 1126.35053
Escher, Joachim; Liu, Yue; Yin, Zhaoyang
2006
On the global existence and wave-breaking criteria for the two-component Camassa-Holm system. Zbl 1189.35254
Gui, Guilong; Liu, Yue
2010
Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186
Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng
2013
Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation. Zbl 1124.35041
Escher, Joachim; Liu, Yue; Yin, Zhaoyang
2007
On the Cauchy problem for the two-component Camassa-Holm system. Zbl 1228.35092
Gui, Guilong; Liu, Yue
2011
Stability of peakons for the Degasperis-Procesi equation. Zbl 1165.35045
Lin, Zhiwu; Liu, Yue
2009
On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation. Zbl 1080.76016
Tian, Lixin; Gui, Guilong; Liu, Yue
2005
On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1308.35026
Fu, Ying; Gui, Guilong; Liu, Yue; Qu, Changzheng
2013
Instability and blow-up of solutions to a generalized Boussinesq equation. Zbl 0857.35103
Liu, Yue
1995
Cauchy problem for the Ostrovsky equation. Zbl 1059.35035
Varlamov, V.; Liu, Yue
2004
On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations. Zbl 1234.35222
Fu, Ying; Liu, Yue; Qu, Changzheng
2012
Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1307.35264
Qu, Changzheng; Liu, Xiaochuan; Liu, Yue
2013
Instability of solitary waves for generalized Boussinesq equations. Zbl 0784.34048
Liu, Yue
1993
Stability of solitary waves and wave-breaking phenomena for the two-component Camassa-Holm system. Zbl 1231.35184
Zhang, Pingzheng; Liu, Yue
2010
Wave breaking and global existence for a generalized two-component Camassa-Holm system. Zbl 1225.35197
Chen, Robin Ming; Liu, Yue
2011
Global existence and blow-up solutions for a nonlinear shallow water equation. Zbl 1102.35021
Liu, Yue
2006
Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion. Zbl 1310.35044
Chen, Robin Ming; Liu, Yue; Qu, Changzheng; Zhang, Shuanghu
2015
Wave breaking in the short-pulse equation. Zbl 1190.35061
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
2009
Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons. Zbl 1207.35074
Fu, Ying; Liu, Yue; Qu, Changzheng
2010
Global existence and blow-up phenomena for the peakon $$b$$-family of equations. Zbl 1170.35369
Gui, Guilong; Liu, Yue; Tian, Lixin
2008
Stability of solitary waves and weak rotation limit for the Ostrovsky equation. Zbl 1064.35148
Liu, Yue; Varlamov, Vladimir
2004
Decay and scattering of small solutions of a generalized Boussinesq equation. Zbl 0884.35129
Liu, Yue
1997
On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074
Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu
2014
Analysis on the blow-up of solutions to a class of integrable peakon equations. Zbl 1338.35067
Chen, Robin Ming; Guo, Fei; Liu, Yue; Qu, Changzheng
2016
On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. Zbl 1338.35391
Fan, Lili; Gao, Hongjun; Liu, Yue
2016
Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation. Zbl 1288.35063
Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
2014
Stability and weak rotation limit of solitary waves of the Ostrovsky equation. Zbl 1129.35453
Levandovsky, Steve; Liu, Yue
2007
Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
2010
Stability of solitary waves of a generalized Ostrovsky equation. Zbl 1123.35056
Levandosky, Steve; Liu, Yue
2006
Stability of peakons for the Novikov equation. Zbl 1295.35065
Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
2014
Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity. Zbl 1092.35105
Liu, Yue; Wang, Xiao-Ping; Wang, Ke
2006
On the Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1132.35077
Gui, Guilong; Liu, Yue
2007
On the blow-up phenomena for the Degasperis-Procesi equation. Zbl 1162.35067
Liu, Yue; Yin, Zhaoyang
2007
On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system. Zbl 1264.35059
Guo, Fei; Gao, Hongjun; Liu, Yue
2012
Well-posedness, wave breaking and peakons for a modified $${\mu}$$-Camassa-Holm equation. Zbl 1291.35307
Qu, Changzheng; Fu, Ying; Liu, Yue
2014
Stability of solitary waves and global existence of a generalized two-component Camassa-Holm system. Zbl 1298.35012
Chen, Robin Ming; Liu, Yue; Qiao, Zhijun
2011
Strong instability of solitary-wave solutions of a generalized Boussinesq equation. Zbl 0973.35163
Liu, Yue
2000
Existence and blow up of solutions of a nonlinear Pochhammer-Chree equation. Zbl 0883.35116
Liu, Yue
1996
Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation. Zbl 0949.35120
Liu, Yue
2001
On the Cauchy problem for the Degasperis-Procesi equation. Zbl 1229.35243
Gui, Guilong; Liu, Yue
2011
Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation. Zbl 0879.35136
Liu, Yue; Wang, Xiao-Ping
1997
Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect. Zbl 1420.35238
Gui, Guilong; Liu, Yue; Luo, Ting
2019
On the stability of solitary waves for the Ostrovsky equation. Zbl 1144.35460
Liu, Yue
2007
A nonlocal shallow-water model arising from the full water waves with the Coriolis effect. Zbl 1416.35205
Gui, Guilong; Liu, Yue; Sun, Junwei
2019
Stability of the $$\mu$$-Camassa-Holm peakons. Zbl 1258.35173
Chen, Robin Ming; Lenells, Jonatan; Liu, Yue
2013
Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system. Zbl 1248.35052
Moon, Byungsoo; Liu, Yue
2012
The Hölder continuity of the solution map to the $$b$$-family equation in weak topology. Zbl 1288.35418
Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng
2013
On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect. Zbl 1403.35230
Chen, Robin Ming; Gui, Guilong; Liu, Yue
2018
Blow-up solutions and peakons to a generalized {$$\mu$$}-Camassa-Holm integrable equation. Zbl 1304.35141
Qu, Changzheng; Fu, Ying; Liu, Yue
2014
Strong instability of solitary-wave solutions to a Kadomtsev-Petviashvili equation in three dimensions. Zbl 1061.35115
Liu, Yue
2002
Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations. Zbl 1120.35013
Liu, Yue; Ohta, Masahito; Todorova, Grozdena
2007
Stability of periodic peakons for the modified $$\mu$$-Camassa-Holm equation. Zbl 1263.35187
Liu, Yue; Qu, Changzheng; Zhang, Ying
2013
On the Cauchy problem for the two-component Dullin-Gottwald-Holm system. Zbl 1277.35132
Chen, Yong; Gao, Hongjun; Liu, Yue
2013
An operator splitting method for the Degasperis-Procesi equation. Zbl 1175.65094
Feng, B.-F.; Liu, Y.
2009
Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035
Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng
2014
Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation. Zbl 1411.35072
Tu, Xinyu; Liu, Yue; Mu, Chunlai
2019
On the Cauchy problem for the generalized shallow water wave equation. Zbl 1154.35074
Tian, Lixin; Gui, Guilong; Liu, Yue
2008
On the wave-breaking phenomena and global existence for the generalized periodic Camassa-Holm equation. Zbl 1252.35240
Gui, Guilong; Liu, Yue; Zhu, Min
2012
Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. Zbl 1383.35156
Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue
2017
Solitary waves of the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1156.35079
Chen, Robin Ming; Hur, Vera Mikyoung; Liu, Yue
2008
Spectral stability of smooth solitary waves for the Degasperis-Procesi equation. Zbl 1448.35377
Li, Ji; Liu, Yue; Wu, Qiliang
2020
Wave-breaking phenomena for the nonlocal Whitham-type equations. Zbl 1350.35038
Ma, Feiyao; Liu, Yue; Qu, Changzheng
2016
Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation. Zbl 07038013
Chen, Geng; Chen, Robin Ming; Liu, Yue
2018
Solitary waves and fundamental solution for Ostrovsky equation. Zbl 1073.76011
Varlamov, Vladimir; Liu, Yue
2005
Orbital stability of periodic peakons to a generalized $$\mu$$-Camassa-Holm equation. Zbl 1287.35077
Qu, Changzheng; Zhang, Ying; Liu, Xiaochuan; Liu, Yue
2014
Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation. Zbl 1130.37031
Choudhury, Roy; Ivanov, Rossen I.; Liu, Yue
2007
An internal model approach for multi-agent rendezvous and connectivity preservation with nonlinear dynamics. Zbl 1388.93006
Dong, Yi; Su, Youfeng; Liu, Yue; Xu, Shengyuan
2018
The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1411.35073
Mi, Yongsheng; Liu, Yue; Guo, Boling; Luo, Ting
2019
The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085
Bona, Jerry L.; Liu, Yue; Tom, Michael M.
2002
Symmetry and uniqueness of the solitary-wave solution for the Ostrovsky equation. Zbl 1193.35173
Zhang, Pingzheng; Liu, Yue
2010
Qualitative analysis for the new shallow-water model with cubic nonlinearity. Zbl 1442.35351
Mi, Yongsheng; Liu, Yue; Huang, Daiwen; Guo, Boling
2020
Stability of the Camassa-Holm peakons in the dynamics of a shallow-water-type system. Zbl 1342.35072
Chen, Robin Ming; Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
2016
Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1291.35276
Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng
2012
On the ill-posedness of a weakly dispersive one-dimensional Boussinesq system. Zbl 1288.35386
Chen, Robin Ming; Liu, Yue
2013
Stability of solitary waves in higher-order Sobolev spaces. Zbl 1089.35057
Bona, Jerry L.; Liu, Yue; Nguyen, Nghiem V.
2004
Stability of solitary waves for the Ostrovsky equation. Zbl 1132.35011
Liu, Yue; Ohta, Masahito
2008
Wave breaking phenomena and stability of peakons for the Degasperis-Procesi equation. Zbl 1205.35046
Liu, Yue
2010
Solutions of the generalized rotation-modified Kadomtsev-Petviashvili equation. Zbl 1202.35218
Chen, Jianqing; Liu, Yue
2010
Global well-posedness and blow-up of solutions for the Camassa-Holm equations with fractional dissipation. Zbl 1339.35092
Gui, Guilong; Liu, Yue
2015
Blow up of solutions and traveling waves to the two-component $$\mu$$-Camassa-Holm system. Zbl 1316.35257
Zhang, Ying; Liu, Yue; Qu, Changzheng
2013
Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation. Zbl 1223.35271
Bona, Jerry L.; Liu, Yue
2002
Wave-breaking phenomena and persistence properties for the nonlocal rotation-Camassa-Holm equation. Zbl 1437.35113
Zhu, Min; Liu, Yue; Mi, Yongsheng
2020
On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152
Chen, Yong; Huang, Lili; Liu, Yue
2020
The shallow-water models with cubic nonlinearity. Zbl 1490.35303
Chen, Robin Ming; Hu, Tianqiao; Liu, Yue
2022
Blow-up and instability of a regularized long-wave-KP equation. Zbl 1031.35125
Liu, Yue; Tom, Michael M.
2003
Instability of standing waves to the inhomogeneous nonlinear Schrödinger equation with harmonic potential. Zbl 1180.35477
Chen, Jianqing; Liu, Yue
2008
On the initial-value problem to the Degasperis-Procesi equation with linear dispersion. Zbl 1190.35138
Guo, Fei; Feng, Bao-Feng; Gao, Hongjun; Liu, Yue
2010
On a shallow-water model with the Coriolis effect. Zbl 1420.35251
Luo, Ting; Liu, Yue; Mi, Yongsheng; Moon, Byungsoo
2019
Boundary control of viscosity Degasperis-Procesi equation. Zbl 1171.35324
Tian, Lixin; Shi, Qing; Liu, Yue
2009
Modeling thin structures incorporated with surface effects by using layered shell elements. Zbl 1406.74636
Liu, Yue; Ji, Xiaoliang; Wang, Dan; He, Jin
2019
Low-regularity solutions of the periodic general Degasperis-Procesi equation. Zbl 1215.35048
Tian, Lixin; Chen, Yuexia; Liu, Yue; Gao, Ying
2011
Existence of permanent and breaking waves for the periodic Degasperis-Procesi equation with linear dispersion. Zbl 1228.35201
Guo, Fei; Gao, Hongjun; Liu, Yue
2011
Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa-Holm-type equation. Zbl 1487.35057
Di, Huafei; Li, Ji; Liu, Yue
2021
Stability of smooth multi-solitons for the Camassa-Holm equation. Zbl 1490.35356
Wang, Zhong; Liu, Yue
2022
On the long-wave approximation for the Euler-Poisson system. Zbl 1457.35058
Liu, Yue; Yang, Xiongfeng
2020
On the uniform bound of solutions for the KP-type equations. Zbl 1239.35138
Chen, Jianqing; Feng, Baofeng; Liu, Yue
2009
On the global weak solution to a generalized two-component Camassa-Holm system. Zbl 1308.35060
Tan, Wenke; Liu, Yue; Yin, Zhaoyang
2013
Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation. Zbl 1051.35508
Liu, Yue
1998
Synchronization of different structures for generalized translational chaotic systems. Zbl 1399.93129
Liu, Yue; Chen, Ying; Guo, Shuxu
2017
The shallow-water models with cubic nonlinearity. Zbl 1490.35303
Chen, Robin Ming; Hu, Tianqiao; Liu, Yue
2022
Stability of smooth multi-solitons for the Camassa-Holm equation. Zbl 1490.35356
Wang, Zhong; Liu, Yue
2022
Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa-Holm-type equation. Zbl 1487.35057
Di, Huafei; Li, Ji; Liu, Yue
2021
Stability of solitary waves for the modified Camassa-Holm equation. Zbl 1483.35164
Li, Ji; Liu, Yue
2021
Spectral stability of smooth solitary waves for the Degasperis-Procesi equation. Zbl 1448.35377
Li, Ji; Liu, Yue; Wu, Qiliang
2020
Qualitative analysis for the new shallow-water model with cubic nonlinearity. Zbl 1442.35351
Mi, Yongsheng; Liu, Yue; Huang, Daiwen; Guo, Boling
2020
Wave-breaking phenomena and persistence properties for the nonlocal rotation-Camassa-Holm equation. Zbl 1437.35113
Zhu, Min; Liu, Yue; Mi, Yongsheng
2020
On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152
Chen, Yong; Huang, Lili; Liu, Yue
2020
On the long-wave approximation for the Euler-Poisson system. Zbl 1457.35058
Liu, Yue; Yang, Xiongfeng
2020
Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect. Zbl 1420.35238
Gui, Guilong; Liu, Yue; Luo, Ting
2019
A nonlocal shallow-water model arising from the full water waves with the Coriolis effect. Zbl 1416.35205
Gui, Guilong; Liu, Yue; Sun, Junwei
2019
Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation. Zbl 1411.35072
Tu, Xinyu; Liu, Yue; Mu, Chunlai
2019
The Cauchy problem for a generalized Camassa-Holm equation. Zbl 1411.35073
Mi, Yongsheng; Liu, Yue; Guo, Boling; Luo, Ting
2019
On a shallow-water model with the Coriolis effect. Zbl 1420.35251
Luo, Ting; Liu, Yue; Mi, Yongsheng; Moon, Byungsoo
2019
Modeling thin structures incorporated with surface effects by using layered shell elements. Zbl 1406.74636
Liu, Yue; Ji, Xiaoliang; Wang, Dan; He, Jin
2019
On the Cauchy problem for the shallow-water model with the Coriolis effect. Zbl 1428.35390
Mi, Yongsheng; Liu, Yue; Luo, Ting; Guo, Boling
2019
On the modeling of equatorial shallow-water waves with the Coriolis effect. Zbl 1451.35004
Hu, Tianqiao; Liu, Yue
2019
On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect. Zbl 1403.35230
Chen, Robin Ming; Gui, Guilong; Liu, Yue
2018
Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation. Zbl 07038013
Chen, Geng; Chen, Robin Ming; Liu, Yue
2018
An internal model approach for multi-agent rendezvous and connectivity preservation with nonlinear dynamics. Zbl 1388.93006
Dong, Yi; Su, Youfeng; Liu, Yue; Xu, Shengyuan
2018
Breaking waves and solitary waves to the rotation-two-component Camassa-Holm system. Zbl 1383.35156
Chen, Robin Ming; Fan, Lili; Gao, Hongjun; Liu, Yue
2017
Synchronization of different structures for generalized translational chaotic systems. Zbl 1399.93129
Liu, Yue; Chen, Ying; Guo, Shuxu
2017
Analysis on the blow-up of solutions to a class of integrable peakon equations. Zbl 1338.35067
Chen, Robin Ming; Guo, Fei; Liu, Yue; Qu, Changzheng
2016
On the rotation-two-component Camassa-Holm system modelling the equatorial water waves. Zbl 1338.35391
Fan, Lili; Gao, Hongjun; Liu, Yue
2016
Wave-breaking phenomena for the nonlocal Whitham-type equations. Zbl 1350.35038
Ma, Feiyao; Liu, Yue; Qu, Changzheng
2016
Stability of the Camassa-Holm peakons in the dynamics of a shallow-water-type system. Zbl 1342.35072
Chen, Robin Ming; Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
2016
Oscillation-induced blow-up to the modified Camassa-Holm equation with linear dispersion. Zbl 1310.35044
Chen, Robin Ming; Liu, Yue; Qu, Changzheng; Zhang, Shuanghu
2015
Global well-posedness and blow-up of solutions for the Camassa-Holm equations with fractional dissipation. Zbl 1339.35092
Gui, Guilong; Liu, Yue
2015
On the blow-up of solutions to the integrable modified Camassa-Holm equation. Zbl 1302.35074
Liu, Yue; Olver, Peter J.; Qu, Changzheng; Zhang, Shuanghu
2014
Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation. Zbl 1288.35063
Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
2014
Stability of peakons for the Novikov equation. Zbl 1295.35065
Liu, Xiaochuan; Liu, Yue; Qu, Changzheng
2014
Well-posedness, wave breaking and peakons for a modified $${\mu}$$-Camassa-Holm equation. Zbl 1291.35307
Qu, Changzheng; Fu, Ying; Liu, Yue
2014
Blow-up solutions and peakons to a generalized {$$\mu$$}-Camassa-Holm integrable equation. Zbl 1304.35141
Qu, Changzheng; Fu, Ying; Liu, Yue
2014
Orbital stability of peakons for a generalization of the modified Camassa-Holm equation. Zbl 1307.35035
Liu, Xiaochuan; Liu, Yue; Olver, Peter J.; Qu, Changzheng
2014
Orbital stability of periodic peakons to a generalized $$\mu$$-Camassa-Holm equation. Zbl 1287.35077
Qu, Changzheng; Zhang, Ying; Liu, Xiaochuan; Liu, Yue
2014
Wave-breaking and peakons for a modified Camassa-Holm equation. Zbl 1263.35186
Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng
2013
On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1308.35026
Fu, Ying; Gui, Guilong; Liu, Yue; Qu, Changzheng
2013
Stability of peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity. Zbl 1307.35264
Qu, Changzheng; Liu, Xiaochuan; Liu, Yue
2013
Stability of the $$\mu$$-Camassa-Holm peakons. Zbl 1258.35173
Chen, Robin Ming; Lenells, Jonatan; Liu, Yue
2013
The Hölder continuity of the solution map to the $$b$$-family equation in weak topology. Zbl 1288.35418
Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng
2013
Stability of periodic peakons for the modified $$\mu$$-Camassa-Holm equation. Zbl 1263.35187
Liu, Yue; Qu, Changzheng; Zhang, Ying
2013
On the Cauchy problem for the two-component Dullin-Gottwald-Holm system. Zbl 1277.35132
Chen, Yong; Gao, Hongjun; Liu, Yue
2013
On the ill-posedness of a weakly dispersive one-dimensional Boussinesq system. Zbl 1288.35386
Chen, Robin Ming; Liu, Yue
2013
Blow up of solutions and traveling waves to the two-component $$\mu$$-Camassa-Holm system. Zbl 1316.35257
Zhang, Ying; Liu, Yue; Qu, Changzheng
2013
On the global weak solution to a generalized two-component Camassa-Holm system. Zbl 1308.35060
Tan, Wenke; Liu, Yue; Yin, Zhaoyang
2013
On the model of the compressible hyperelastic rods and Euler equations on the circle. Zbl 1253.35111
Zhu, Min; Liu, Yue; Qu, Changzheng
2013
On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations. Zbl 1234.35222
Fu, Ying; Liu, Yue; Qu, Changzheng
2012
On the wave-breaking phenomena for the two-component Dullin-Gottwald-Holm system. Zbl 1264.35059
Guo, Fei; Gao, Hongjun; Liu, Yue
2012
Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system. Zbl 1248.35052
Moon, Byungsoo; Liu, Yue
2012
On the wave-breaking phenomena and global existence for the generalized periodic Camassa-Holm equation. Zbl 1252.35240
Gui, Guilong; Liu, Yue; Zhu, Min
2012
Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1291.35276
Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng
2012
On the Cauchy problem for the two-component Camassa-Holm system. Zbl 1228.35092
Gui, Guilong; Liu, Yue
2011
Wave breaking and global existence for a generalized two-component Camassa-Holm system. Zbl 1225.35197
Chen, Robin Ming; Liu, Yue
2011
Stability of solitary waves and global existence of a generalized two-component Camassa-Holm system. Zbl 1298.35012
Chen, Robin Ming; Liu, Yue; Qiao, Zhijun
2011
On the Cauchy problem for the Degasperis-Procesi equation. Zbl 1229.35243
Gui, Guilong; Liu, Yue
2011
Low-regularity solutions of the periodic general Degasperis-Procesi equation. Zbl 1215.35048
Tian, Lixin; Chen, Yuexia; Liu, Yue; Gao, Ying
2011
Existence of permanent and breaking waves for the periodic Degasperis-Procesi equation with linear dispersion. Zbl 1228.35201
Guo, Fei; Gao, Hongjun; Liu, Yue
2011
On the global existence and wave-breaking criteria for the two-component Camassa-Holm system. Zbl 1189.35254
Gui, Guilong; Liu, Yue
2010
Stability of solitary waves and wave-breaking phenomena for the two-component Camassa-Holm system. Zbl 1231.35184
Zhang, Pingzheng; Liu, Yue
2010
Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons. Zbl 1207.35074
Fu, Ying; Liu, Yue; Qu, Changzheng
2010
Wave breaking in the Ostrovsky-Hunter equation. Zbl 1217.35143
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
2010
Symmetry and uniqueness of the solitary-wave solution for the Ostrovsky equation. Zbl 1193.35173
Zhang, Pingzheng; Liu, Yue
2010
Wave breaking phenomena and stability of peakons for the Degasperis-Procesi equation. Zbl 1205.35046
Liu, Yue
2010
Solutions of the generalized rotation-modified Kadomtsev-Petviashvili equation. Zbl 1202.35218
Chen, Jianqing; Liu, Yue
2010
On the initial-value problem to the Degasperis-Procesi equation with linear dispersion. Zbl 1190.35138
Guo, Fei; Feng, Bao-Feng; Gao, Hongjun; Liu, Yue
2010
Stability of peakons for the Degasperis-Procesi equation. Zbl 1165.35045
Lin, Zhiwu; Liu, Yue
2009
Wave breaking in the short-pulse equation. Zbl 1190.35061
Liu, Yue; Pelinovsky, Dmitry; Sakovich, Anton
2009
An operator splitting method for the Degasperis-Procesi equation. Zbl 1175.65094
Feng, B.-F.; Liu, Y.
2009
Boundary control of viscosity Degasperis-Procesi equation. Zbl 1171.35324
Tian, Lixin; Shi, Qing; Liu, Yue
2009
On the uniform bound of solutions for the KP-type equations. Zbl 1239.35138
Chen, Jianqing; Feng, Baofeng; Liu, Yue
2009
Global existence and blow-up phenomena for the peakon $$b$$-family of equations. Zbl 1170.35369
Gui, Guilong; Liu, Yue; Tian, Lixin
2008
On the Cauchy problem for the generalized shallow water wave equation. Zbl 1154.35074
Tian, Lixin; Gui, Guilong; Liu, Yue
2008
Solitary waves of the rotation-modified Kadomtsev-Petviashvili equation. Zbl 1156.35079
Chen, Robin Ming; Hur, Vera Mikyoung; Liu, Yue
2008
Stability of solitary waves for the Ostrovsky equation. Zbl 1132.35011
Liu, Yue; Ohta, Masahito
2008
Instability of standing waves to the inhomogeneous nonlinear Schrödinger equation with harmonic potential. Zbl 1180.35477
Chen, Jianqing; Liu, Yue
2008
Existence of unstable standing waves for the inhomogeneous nonlinear Schrödinger equation. Zbl 1146.35084
Liu, Yue
2008
Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation. Zbl 1124.35041
Escher, Joachim; Liu, Yue; Yin, Zhaoyang
2007
Stability and weak rotation limit of solitary waves of the Ostrovsky equation. Zbl 1129.35453
Levandovsky, Steve; Liu, Yue
2007
On the Cauchy problem for the Ostrovsky equation with positive dispersion. Zbl 1132.35077
Gui, Guilong; Liu, Yue
2007
On the blow-up phenomena for the Degasperis-Procesi equation. Zbl 1162.35067
Liu, Yue; Yin, Zhaoyang
2007
On the stability of solitary waves for the Ostrovsky equation. Zbl 1144.35460
Liu, Yue
2007
Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations. Zbl 1120.35013
Liu, Yue; Ohta, Masahito; Todorova, Grozdena
2007
Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation. Zbl 1130.37031
Choudhury, Roy; Ivanov, Rossen I.; Liu, Yue
2007
Global existence and blow-up phenomena for the Degasperis-Procesi equation. Zbl 1131.35074
Liu, Yue; Yin, Zhaoyang
2006
Global weak solutions and blow-up structure for the Degasperis-Procesi equation. Zbl 1126.35053
Escher, Joachim; Liu, Yue; Yin, Zhaoyang
2006
Global existence and blow-up solutions for a nonlinear shallow water equation. Zbl 1102.35021
Liu, Yue
2006
Stability of solitary waves of a generalized Ostrovsky equation. Zbl 1123.35056
Levandosky, Steve; Liu, Yue
2006
Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity. Zbl 1092.35105
Liu, Yue; Wang, Xiao-Ping; Wang, Ke
2006
On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation. Zbl 1080.76016
Tian, Lixin; Gui, Guilong; Liu, Yue
2005
Solitary waves and fundamental solution for Ostrovsky equation. Zbl 1073.76011
Varlamov, Vladimir; Liu, Yue
2005
Cauchy problem for the Ostrovsky equation. Zbl 1059.35035
Varlamov, V.; Liu, Yue
2004
Stability of solitary waves and weak rotation limit for the Ostrovsky equation. Zbl 1064.35148
Liu, Yue; Varlamov, Vladimir
2004
Stability of solitary waves in higher-order Sobolev spaces. Zbl 1089.35057
Bona, Jerry L.; Liu, Yue; Nguyen, Nghiem V.
2004
Blow-up and instability of a regularized long-wave-KP equation. Zbl 1031.35125
Liu, Yue; Tom, Michael M.
2003
Strong instability of solitary-wave solutions to a Kadomtsev-Petviashvili equation in three dimensions. Zbl 1061.35115
Liu, Yue
2002
The Cauchy problem and stability of solitary-wave solutions for RLW–KP-type equations. Zbl 1023.35085
Bona, Jerry L.; Liu, Yue; Tom, Michael M.
2002
Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation. Zbl 1223.35271
Bona, Jerry L.; Liu, Yue
2002
Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation. Zbl 0949.35120
Liu, Yue
2001
Strong instability of solitary-wave solutions of a generalized Boussinesq equation. Zbl 0973.35163
Liu, Yue
2000
Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation. Zbl 1051.35508
Liu, Yue
1998
...and 5 more Documents
all top 5

### Cited by 887 Authors

 70 Liu, Yue 60 Yin, Zhaoyang 39 Tian, Lixin 32 Qu, Changzheng 28 Mu, Chunlai 26 Qiao, Zhijun 24 Mi, Yongsheng 21 Lai, Shaoyong 21 Zhou, Shouming 20 Guo, Boling 20 Yan, Wei 18 Guo, Zhengguang 17 Coclite, Giuseppe Maria 15 Chen, Robin Ming 15 Liu, Xingxing 15 Zhu, Min 14 Fu, Ying 13 Gao, Hongjun 13 Gui, Guilong 13 Li, Yongsheng 13 Moon, Byungsoo 13 Wu, Xinglong 12 Di Ruvo, Lorenzo 12 Esfahani, Amin 12 Guo, Fei 12 Guo, Yunxi 12 Himonas, A. Alexandrou 12 Pelinovsky, Dmitry Efimovich 12 Yang, Shaojie 11 Wang, Shubin 11 Yan, Kai 11 Zhang, Lei 10 Liu, Xiaochuan 10 Zhu, Mingxuan 9 Chen, Jianqing 9 Wu, Yonghong 9 Yin, Jiuli 8 Chen, Aiyong 8 Hu, Qiaoyi 8 Ivanov, Rossen I. 8 Li, Ji 8 Liu, Jingjing 8 Liu, Zhengrong 8 Matsuo, Takayasu 8 Ming, Sen 8 Shen, Chunyu 8 Varlamov, Vladimir V. 8 Xu, Tianzhou 8 Yu, Shengqi 7 Chang, Xiangke 7 Escher, Joachim 7 Fan, Lili 7 Feng, Baofeng 7 Huang, Jianhua 7 Li, Fengquan 7 Li, Jinlu 7 Luo, Ting 7 Lv, Guangying 7 Wang, Ying 7 Wang, Yujuan 7 Yang, Han 7 Zhang, Shuanghu 7 Zhang, Zaiyun 7 Zhou, Jiangbo 6 Anco, Stephen C. 6 Geyer, Anna 6 He, Huijun 6 Jin, Liangbing 6 Levandosky, Steven Paul 6 Li, Jibin 6 Liu, Jianguo 6 Luo, Wei 6 Song, Yongduan 6 Szmigielski, Jacek 6 Wang, Xiaohuan 6 Xu, Junxiang 6 Xu, Runzhang 6 Yong, Ls 6 Zhang, Ying 5 Chen, Guowang 5 Chen, Yong 5 Dinh, Van Duong 5 Dong, Xiaofang 5 Du, Zengji 5 Duan, Jinqiao 5 Fan, Engui 5 Gandarias Núñez, Maria Luz 5 Gao, Yu 5 Grunert, Katrin 5 Guo, Yingying 5 Han, Xuanxuan 5 Holliman, Curtis 5 Jiang, Zaihong 5 Kang, Jing 5 Le Coz, Stefan 5 Liu, Bin 5 Novruzov, Emil B. 5 Olver, Peter John 5 Raynaud, Xavier 5 Tu, Xi ...and 787 more Authors
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### Cited in 165 Serials

 87 Journal of Differential Equations 75 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 66 Journal of Mathematical Analysis and Applications 56 Journal of Mathematical Physics 53 Nonlinear Analysis. Real World Applications 48 Discrete and Continuous Dynamical Systems 39 Applicable Analysis 27 Monatshefte für Mathematik 22 Boundary Value Problems 21 Abstract and Applied Analysis 20 Physica D 19 Applied Mathematics and Computation 17 Mathematical Methods in the Applied Sciences 17 Journal of Functional Analysis 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Journal of Mathematical Fluid Mechanics 14 Communications in Mathematical Physics 14 Chaos, Solitons and Fractals 14 Applied Mathematics Letters 14 SIAM Journal on Mathematical Analysis 14 Journal of Nonlinear Mathematical Physics 13 Journal of Nonlinear Science 13 Journal of Evolution Equations 11 Journal of Inequalities and Applications 10 Mathematical Problems in Engineering 10 Discrete and Continuous Dynamical Systems. Series S 9 Proceedings of the American Mathematical Society 9 Nonlinear Dynamics 8 Advances in Mathematics 8 Communications in Partial Differential Equations 8 Communications in Nonlinear Science and Numerical Simulation 8 Communications on Pure and Applied Analysis 7 Archive for Rational Mechanics and Analysis 7 Quarterly of Applied Mathematics 7 Discrete and Continuous Dynamical Systems. Series B 7 Advances in Mathematical Physics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Studies in Applied Mathematics 6 Journal of Dynamics and Differential Equations 6 NoDEA. Nonlinear Differential Equations and Applications 6 Advances in Difference Equations 5 Nonlinearity 5 Wave Motion 5 Journal of Computational and Applied Mathematics 5 Transactions of the American Mathematical Society 5 Applied Numerical Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Mathematical Physics, Analysis and Geometry 5 Journal of Hyperbolic Differential Equations 4 Zeitschrift für Analysis und ihre Anwendungen 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Scientific Computing 4 Journal of Applied Mathematics 4 Journal of Physics A: Mathematical and Theoretical 4 Analysis and Mathematical Physics 3 Journal of Computational Physics 3 Mathematische Annalen 3 Mathematics and Computers in Simulation 3 Memoirs of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 European Journal of Applied Mathematics 3 Calculus of Variations and Partial Differential Equations 3 Acta Mathematica Sinica. English Series 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Advanced Nonlinear Studies 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Milan Journal of Mathematics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Communications in Theoretical Physics 3 Science China. Mathematics 3 Electronic Research Archive 2 Computers & Mathematics with Applications 2 Letters in Mathematical Physics 2 BIT 2 International Journal of Mathematics and Mathematical Sciences 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 International Journal of Mathematics 2 Turkish Journal of Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Qualitative Theory of Dynamical Systems 2 Journal of Applied Mathematics and Computing 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Analysis and Applications (Singapore) 2 Frontiers of Mathematics in China 2 Asian-European Journal of Mathematics 2 São Paulo Journal of Mathematical Sciences 2 Forum of Mathematics, Sigma 2 Advances in Nonlinear Analysis 2 Open Mathematics 2 Cogent Mathematics 2 AIMS Mathematics 1 Acta Mechanica 1 International Journal of Engineering Science 1 Journal d’Analyse Mathématique 1 Physics Letters. A ...and 65 more Serials
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### Cited in 33 Fields

 1,031 Partial differential equations (35-XX) 217 Fluid mechanics (76-XX) 194 Dynamical systems and ergodic theory (37-XX) 42 Numerical analysis (65-XX) 26 Ordinary differential equations (34-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 23 Geophysics (86-XX) 22 Mechanics of deformable solids (74-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Optics, electromagnetic theory (78-XX) 11 Systems theory; control (93-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Operator theory (47-XX) 9 Probability theory and stochastic processes (60-XX) 8 Quantum theory (81-XX) 6 Differential geometry (53-XX) 5 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Computer science (68-XX)