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Author ID: he.cheng Recent zbMATH articles by "He, Cheng"
Published as: He, Cheng
Documents Indexed: 57 Publications since 1994, including 2 Additional arXiv Preprints
Reviewing Activity: 170 Reviews
Co-Authors: 16 Co-Authors with 29 Joint Publications
411 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 936 times in 623 Documents Cited by Year
On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154
He, Cheng; Xin, Zhouping
330
2005
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110
He, Cheng; Xin, Zhouping
155
2005
On the regularity criteria for weak solutions to the magnetohydrodynamic equations. Zbl 1220.35117
He, Cheng; Wang, Yun
90
2007
Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Zbl 0993.35072
He, Cheng
34
2002
On the decay properties of solutions to the non-stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 0982.35083
He, Cheng; Xin, Zhouping
33
2001
On \(L^1\)-summability and asymptotic profiles for smooth solutions to Navier-Stokes equations in a 3D exterior domain. Zbl 1042.35046
He, Cheng; Miyakawa, Tetsuro
29
2003
Remark on the regularity for weak solutions to the magnetohydrodynamic equations. Zbl 1153.35064
He, Cheng; Wang, Yun
28
2008
Global well-posedness and exponential stability of 3D Navier-Stokes equations with density-dependent viscosity and vacuum in unbounded domains. Zbl 1462.35243
He, Cheng; Li, Jing; Lü, Boqiang
24
2021
On some new global existence results for 3D magnetohydrodynamic equations. Zbl 1288.35392
He, Cheng; Huang, Xiangdi; Wang, Yun
22
2014
Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096
He, Cheng; Hsiao, Ling
21
2000
Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160
Han, Pigong; He, Cheng
20
2012
Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095
He, Cheng; Miyakawa, Tetsuro
20
2006
On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061
He, Cheng; Miyakawa, Tetsuro
19
2009
New sufficient conditions for regularity of solutions to the Navier-Stokes equations. Zbl 1039.35077
He, Cheng
13
2002
New \(\varepsilon \)-regularity criteria of suitable weak solutions of the 3D Navier-Stokes equations at one scale. Zbl 1427.35177
He, Cheng; Wang, Yanqing; Zhou, Daoguo
12
2019
Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations. Zbl 1214.35044
He, Cheng; Wang, Yun
10
2010
Weighted estimates for nonstationary Navier-Stokes equations in exterior domains. Zbl 1007.76012
He, Cheng; Xin, Zhou-Ping
10
2000
Weighted estimates for nonstationary Navier-Stokes equations. Zbl 0910.35092
He, Cheng
10
1998
On a nonhomogeneous Burgers’ equation. Zbl 0997.35071
Ding, Xiaqi; Jiu, Quansen; He, Cheng
9
2001
Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1293.35245
He, Cheng; Zhou, Daoguo
9
2014
Moment estimates for weak solutions to the Navier-Stokes equations in half-space. Zbl 1175.35102
He, Cheng; Wang, Lizhen
8
2009
On partial regularity for weak solutions to the Navier-Stokes equations. Zbl 1062.35065
He, Cheng
8
2004
On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215
He, Cheng; Miyakawa, Tetsuro
8
2006
Remarks on the regularity to 3D ideal magnetohydrodynamic equations. Zbl 1083.35115
Liu, Quansen; He, Cheng
7
2004
Weighted \(L^p\)-estimates for Stokes flow in \(\mathbb R_+^n\) with applications to the non-stationary Navier-Stokes flow. Zbl 1219.35171
He, Cheng; Wang, Lizhen
6
2011
Stability of planar diffusion wave for nonlinear evolution equation. Zbl 1239.35016
He, Cheng; Huang, FeiMin; Yong, Yan
5
2012
The decay rates of strong solutions for Navier-Stokes equations. Zbl 1027.35093
He, Cheng; Hsiao, Ling
5
2002
Fixed-time adaptive neural tracking control for a class of uncertain multi-input and multi-output nonlinear pure-feedback systems. Zbl 1543.93085
He, Cheng; Wu, Jian; Dai, Jiyang; Zhang, Zhe
4
2021
Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081
Han, Pigong; He, Cheng
3
2012
On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363
He, Cheng; Xin, Zhouping
3
2009
The Cauchy problem for Navier-Stokes equations. Zbl 0880.35091
He, Cheng
3
1997
Approximation-based fixed-time adaptive tracking control for a class of uncertain nonlinear pure-feedback systems. Zbl 1435.93073
He, Cheng; Wu, Jian; Dai, Jiyang; Zhang, Zhe; Xu, Libin; Li, Pinwei
3
2020
The existence, uniqueness, and regularity for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1241.35160
He, Cheng; Zhou, Daoguo
2
2012
Reformulating preferences into constraints for evolutionary multi- and many-objective optimization. Zbl 1475.90090
Hou, Zhanglu; He, Cheng; Cheng, Ran
2
2020
Orbital stability of two-component peakons. Zbl 1515.35232
He, Cheng; Liu, Xiaochuan; Qu, Changzheng
1
2023
Boundary layer estimation of a singular problem with limit equation of order 2. Zbl 0921.35050
He, Cheng; Zhang, Weitao
1
1996
The initial boundary value problem for Navier-Stokes equations. Zbl 0939.35138
He, Cheng
1
1999
Resonance and generalized Navier-Stokes equations. Zbl 0987.35124
He, Cheng
1
2000
Existence and regularity of a class of weak solutions to the Navier-Stokes equations. Zbl 0888.35079
He, Cheng
1
1997
Global weak solutions for the two-component Novikov equation. Zbl 1458.37069
He, Cheng; Qu, Changzheng
1
2020
Global conservative weak solutions for the two-component Novikov equation. Zbl 1481.35123
He, Cheng; Qu, Changzheng
1
2021
Orbital stability of two-component peakons. Zbl 1515.35232
He, Cheng; Liu, Xiaochuan; Qu, Changzheng
1
2023
Global well-posedness and exponential stability of 3D Navier-Stokes equations with density-dependent viscosity and vacuum in unbounded domains. Zbl 1462.35243
He, Cheng; Li, Jing; Lü, Boqiang
24
2021
Fixed-time adaptive neural tracking control for a class of uncertain multi-input and multi-output nonlinear pure-feedback systems. Zbl 1543.93085
He, Cheng; Wu, Jian; Dai, Jiyang; Zhang, Zhe
4
2021
Global conservative weak solutions for the two-component Novikov equation. Zbl 1481.35123
He, Cheng; Qu, Changzheng
1
2021
Approximation-based fixed-time adaptive tracking control for a class of uncertain nonlinear pure-feedback systems. Zbl 1435.93073
He, Cheng; Wu, Jian; Dai, Jiyang; Zhang, Zhe; Xu, Libin; Li, Pinwei
3
2020
Reformulating preferences into constraints for evolutionary multi- and many-objective optimization. Zbl 1475.90090
Hou, Zhanglu; He, Cheng; Cheng, Ran
2
2020
Global weak solutions for the two-component Novikov equation. Zbl 1458.37069
He, Cheng; Qu, Changzheng
1
2020
New \(\varepsilon \)-regularity criteria of suitable weak solutions of the 3D Navier-Stokes equations at one scale. Zbl 1427.35177
He, Cheng; Wang, Yanqing; Zhou, Daoguo
12
2019
On some new global existence results for 3D magnetohydrodynamic equations. Zbl 1288.35392
He, Cheng; Huang, Xiangdi; Wang, Yun
22
2014
Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1293.35245
He, Cheng; Zhou, Daoguo
9
2014
Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160
Han, Pigong; He, Cheng
20
2012
Stability of planar diffusion wave for nonlinear evolution equation. Zbl 1239.35016
He, Cheng; Huang, FeiMin; Yong, Yan
5
2012
Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081
Han, Pigong; He, Cheng
3
2012
The existence, uniqueness, and regularity for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1241.35160
He, Cheng; Zhou, Daoguo
2
2012
Weighted \(L^p\)-estimates for Stokes flow in \(\mathbb R_+^n\) with applications to the non-stationary Navier-Stokes flow. Zbl 1219.35171
He, Cheng; Wang, Lizhen
6
2011
Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations. Zbl 1214.35044
He, Cheng; Wang, Yun
10
2010
On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061
He, Cheng; Miyakawa, Tetsuro
19
2009
Moment estimates for weak solutions to the Navier-Stokes equations in half-space. Zbl 1175.35102
He, Cheng; Wang, Lizhen
8
2009
On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363
He, Cheng; Xin, Zhouping
3
2009
Remark on the regularity for weak solutions to the magnetohydrodynamic equations. Zbl 1153.35064
He, Cheng; Wang, Yun
28
2008
On the regularity criteria for weak solutions to the magnetohydrodynamic equations. Zbl 1220.35117
He, Cheng; Wang, Yun
90
2007
Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095
He, Cheng; Miyakawa, Tetsuro
20
2006
On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215
He, Cheng; Miyakawa, Tetsuro
8
2006
On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154
He, Cheng; Xin, Zhouping
330
2005
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110
He, Cheng; Xin, Zhouping
155
2005
On partial regularity for weak solutions to the Navier-Stokes equations. Zbl 1062.35065
He, Cheng
8
2004
Remarks on the regularity to 3D ideal magnetohydrodynamic equations. Zbl 1083.35115
Liu, Quansen; He, Cheng
7
2004
On \(L^1\)-summability and asymptotic profiles for smooth solutions to Navier-Stokes equations in a 3D exterior domain. Zbl 1042.35046
He, Cheng; Miyakawa, Tetsuro
29
2003
Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Zbl 0993.35072
He, Cheng
34
2002
New sufficient conditions for regularity of solutions to the Navier-Stokes equations. Zbl 1039.35077
He, Cheng
13
2002
The decay rates of strong solutions for Navier-Stokes equations. Zbl 1027.35093
He, Cheng; Hsiao, Ling
5
2002
On the decay properties of solutions to the non-stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 0982.35083
He, Cheng; Xin, Zhouping
33
2001
On a nonhomogeneous Burgers’ equation. Zbl 0997.35071
Ding, Xiaqi; Jiu, Quansen; He, Cheng
9
2001
Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096
He, Cheng; Hsiao, Ling
21
2000
Weighted estimates for nonstationary Navier-Stokes equations in exterior domains. Zbl 1007.76012
He, Cheng; Xin, Zhou-Ping
10
2000
Resonance and generalized Navier-Stokes equations. Zbl 0987.35124
He, Cheng
1
2000
The initial boundary value problem for Navier-Stokes equations. Zbl 0939.35138
He, Cheng
1
1999
Weighted estimates for nonstationary Navier-Stokes equations. Zbl 0910.35092
He, Cheng
10
1998
The Cauchy problem for Navier-Stokes equations. Zbl 0880.35091
He, Cheng
3
1997
Existence and regularity of a class of weak solutions to the Navier-Stokes equations. Zbl 0888.35079
He, Cheng
1
1997
Boundary layer estimation of a singular problem with limit equation of order 2. Zbl 0921.35050
He, Cheng; Zhang, Weitao
1
1996
all top 5

Cited by 576 Authors

27 Han, Pigong
26 Gala, Sadek
21 Zhang, Zujin
19 Zhou, Yong
16 Guo, Zhengguang
16 Ragusa, Maria Alessandra
15 He, Cheng
15 Kim, Jaemyoung
14 Wang, Yanqing
13 Yamazaki, Kazuo
12 Liu, Qiao
11 Bae, Hyeong-Ohk
11 Wang, Yinxia
11 Wang, Yuzhu
11 Xu, Fuyi
11 Yao, Zhengan
10 Ye, Zhuan
10 Yuan, Baoquan
10 Zhou, Daoguo
9 Wang, Shu
8 Fan, Jishan
8 He, Yinnian
8 Jin, Bumja
8 Liu, Zhaoxia
8 Yang, Minsuk
7 Dong, Boqing
7 Jia, Xuanji
7 Jiu, Quansen
7 Li, Shan
7 Wang, Xuewen
7 Wu, Jiahong
7 Zhai, Xiaoping
6 Du, Yi
6 Kang, Kyungkeun
6 Lei, Keke
6 Li, Yongsheng
6 Liu, ChengGang
6 Qiu, Hua
6 Roh, Jaiok
6 Wu, Gang
6 Zhang, Guodong
6 Zhong, Xin
5 Bian, Dongfen
5 Brandolese, Lorenzo
5 Chen, Qionglei
5 Sun, Chunyou
5 Tan, Zhong
5 Wang, Yun
5 Wu, Fan
5 Zhang, Zhifei
5 Zhao, Jihong
4 Chen, Xiaochun
4 Chen, Zhimin
4 Choe, Hi Jun
4 Jia, Yan
4 Kukavica, Igor
4 Lai, Baishun
4 Liu, Jitao
4 Ma, Liangliang
4 Neustupa, Jiří
4 Qian, Chenyin
4 Qin, Yuming
4 Wang, Na
4 Wang, Wendong
4 Wu, Yonghong
4 Xu, Xiaojing
4 Yu, Huan
4 Zhang, Ping
4 Zhang, Qian
4 Zhao, Xiaopeng
4 Zhou, Jianfeng
4 Zhu, Mingxuan
3 Benbernou, Samia
3 Chen, Fei
3 Chen, Xiaoli
3 Cui, Shangbin
3 Du, Baoying
3 Du, Lili
3 Engu, Satyanarayana
3 Feng, Xinlong
3 Fu, Peng
3 Guermond, Jean-Luc
3 Gui, Guilong
3 Huang, Pengzhan
3 Ke, Xueli
3 Lee, Jihoon
3 Li, Zijin
3 Lin, Hongxia
3 Miao, Changxing
3 O, Chol-Jun
3 Pu, Xueke
3 Qiu, Shulin
3 Sahoo, Manas Ranjan
3 Su, Haiyan
3 Wei, Wei
3 Weng, Shangkun
3 Wu, Zhonglin
3 Xiao, Yanping
3 Xin, Zhouping
3 Yan, Wei
...and 476 more Authors
all top 5

Cited in 133 Serials

52 Journal of Mathematical Analysis and Applications
45 Mathematical Methods in the Applied Sciences
42 Journal of Differential Equations
29 ZAMP. Zeitschrift für angewandte Mathematik und Physik
29 Journal of Mathematical Fluid Mechanics
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
26 Nonlinear Analysis. Real World Applications
23 Journal of Mathematical Physics
20 Applied Mathematics Letters
15 Boundary Value Problems
13 Applied Mathematics and Computation
12 Acta Applicandae Mathematicae
11 Applicable Analysis
11 Journal of Functional Analysis
11 Acta Mathematicae Applicatae Sinica. English Series
9 Computers & Mathematics with Applications
9 Acta Mathematica Sinica. English Series
9 Acta Mathematica Scientia. Series B. (English Edition)
7 Nonlinearity
7 Communications on Pure and Applied Analysis
6 Communications in Mathematical Physics
6 Applications of Mathematics
6 Discrete and Continuous Dynamical Systems
6 Journal of Evolution Equations
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Mathematische Nachrichten
5 SIAM Journal on Mathematical Analysis
5 Journal of Mathematical Sciences (New York)
5 Discrete and Continuous Dynamical Systems. Series B
5 Science China. Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Calculus of Variations and Partial Differential Equations
4 Abstract and Applied Analysis
4 Journal of Function Spaces
3 Archive for Rational Mechanics and Analysis
3 Annales Polonici Mathematici
3 Journal of Computational and Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Communications in Partial Differential Equations
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Nonlinear Science
3 NoDEA. Nonlinear Differential Equations and Applications
3 Journal of Applied Mathematics
3 SN Partial Differential Equations and Applications
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Indiana University Mathematics Journal
2 Applied Numerical Mathematics
2 Numerical Methods for Partial Differential Equations
2 Asymptotic Analysis
2 Journal of Scientific Computing
2 Forum Mathematicum
2 The Journal of Geometric Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Advances in Computational Mathematics
2 Mathematical Physics, Analysis and Geometry
2 Acta Mathematica Scientia. Series A. (Chinese Edition)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Advances in Difference Equations
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Discrete and Continuous Dynamical Systems. Series S
2 Kinetic and Related Models
2 Journal of the Korean Society for Industrial and Applied Mathematics
2 Evolution Equations and Control Theory
2 AIMS Mathematics
2 Electronic Research Archive
1 Computers and Fluids
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Engineering Science
1 Indian Journal of Pure & Applied Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Mathematical Notes
1 Advances in Mathematics
1 Funkcialaj Ekvacioj. Serio Internacia
1 International Journal of Mathematics and Mathematical Sciences
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Results in Mathematics
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Topology and its Applications
1 Zeitschrift für Analysis und ihre Anwendungen
1 Applied Mathematics and Mechanics. (English Edition)
1 Stochastic Analysis and Applications
1 Physica D
1 Revista Matemática Iberoamericana
1 International Journal of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Stochastic Processes and their Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Partial Differential Equations
1 Journal of Dynamics and Differential Equations
1 Applicationes Mathematicae
1 Advances in Applied Clifford Algebras
1 Filomat
1 Bulletin des Sciences Mathématiques
...and 33 more Serials

Citations by Year