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Author ID: he.cheng Recent zbMATH articles by "He, Cheng"
Published as: He, Cheng
Documents Indexed: 52 Publications since 1994
Reviewing Activity: 168 Reviews
Co-Authors: 16 Co-Authors with 29 Joint Publications
531 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 722 times in 480 Documents Cited by Year
On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154
He, Cheng; Xin, Zhouping
254
2005
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110
He, Cheng; Xin, Zhouping
117
2005
On the regularity criteria for weak solutions to the magnetohydrodynamic equations. Zbl 1220.35117
He, Cheng; Wang, Yun
64
2007
On the decay properties of solutions to the non-stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 0982.35083
He, Cheng; Xin, Zhouping
26
2001
Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Zbl 0993.35072
He, Cheng
26
2002
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
26
2003
Remark on the regularity for weak solutions to the magnetohydrodynamic equations. Zbl 1153.35064
He, Cheng; Wang, Yun
21
2008
Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095
He, Cheng; Miyakawa, Tetsuro
19
2006
Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096
He, Cheng; Hsiao, Ling
18
2000
On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061
He, Cheng; Miyakawa, Tetsuro
18
2009
On some new global existence results for 3D magnetohydrodynamic equations. Zbl 1288.35392
He, Cheng; Huang, Xiangdi; Wang, Yun
15
2014
Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160
Han, Pigong; He, Cheng
13
2012
New sufficient conditions for regularity of solutions to the Navier-Stokes equations. Zbl 1039.35077
He, Cheng
12
2002
Weighted estimates for nonstationary Navier-Stokes equations. Zbl 0910.35092
He, Cheng
10
1998
Weighted estimates for nonstationary Navier-Stokes equations in exterior domains. Zbl 1007.76012
He, Cheng; Xin, Zhou-Ping
10
2000
Moment estimates for weak solutions to the Navier-Stokes equations in half-space. Zbl 1175.35102
He, Cheng; Wang, Lizhen
7
2009
On partial regularity for weak solutions to the Navier-Stokes equations. Zbl 1062.35065
He, Cheng
7
2004
Remarks on the regularity to 3D ideal magnetohydrodynamic equations. Zbl 1083.35115
Liu, Quansen; He, Cheng
6
2004
Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations. Zbl 1214.35044
He, Cheng; Wang, Yun
6
2010
On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215
He, Cheng; Miyakawa, Tetsuro
5
2006
The decay rates of strong solutions for Navier-Stokes equations. Zbl 1027.35093
He, Cheng; Hsiao, Ling
5
2002
On a nonhomogeneous Burgers’ equation. Zbl 0997.35071
Ding, Xiaqi; Jiu, Quansen; He, Cheng
5
2001
Stability of planar diffusion wave for nonlinear evolution equation. Zbl 1239.35016
He, Cheng; Huang, FeiMin; Yong, Yan
4
2012
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
4
2019
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
4
2011
The Cauchy problem for Navier-Stokes equations. Zbl 0880.35091
He, Cheng
3
1997
On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363
He, Cheng; Xin, Zhouping
3
2009
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
3
2021
The existence, uniqueness, and regularity for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1241.35160
He, Cheng; Zhou, Daoguo
2
2012
Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081
Han, Pigong; He, Cheng
2
2012
Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1293.35245
He, Cheng; Zhou, Daoguo
2
2014
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
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
Global weak solutions for the two-component Novikov equation. Zbl 1458.37069
He, Cheng; Qu, Changzheng
1
2020
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
3
2021
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
4
2019
On some new global existence results for 3D magnetohydrodynamic equations. Zbl 1288.35392
He, Cheng; Huang, Xiangdi; Wang, Yun
15
2014
Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1293.35245
He, Cheng; Zhou, Daoguo
2
2014
Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160
Han, Pigong; He, Cheng
13
2012
Stability of planar diffusion wave for nonlinear evolution equation. Zbl 1239.35016
He, Cheng; Huang, FeiMin; Yong, Yan
4
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
Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081
Han, Pigong; He, Cheng
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
4
2011
Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations. Zbl 1214.35044
He, Cheng; Wang, Yun
6
2010
On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061
He, Cheng; Miyakawa, Tetsuro
18
2009
Moment estimates for weak solutions to the Navier-Stokes equations in half-space. Zbl 1175.35102
He, Cheng; Wang, Lizhen
7
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
21
2008
On the regularity criteria for weak solutions to the magnetohydrodynamic equations. Zbl 1220.35117
He, Cheng; Wang, Yun
64
2007
Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095
He, Cheng; Miyakawa, Tetsuro
19
2006
On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215
He, Cheng; Miyakawa, Tetsuro
5
2006
On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154
He, Cheng; Xin, Zhouping
254
2005
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110
He, Cheng; Xin, Zhouping
117
2005
On partial regularity for weak solutions to the Navier-Stokes equations. Zbl 1062.35065
He, Cheng
7
2004
Remarks on the regularity to 3D ideal magnetohydrodynamic equations. Zbl 1083.35115
Liu, Quansen; He, Cheng
6
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
26
2003
Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Zbl 0993.35072
He, Cheng
26
2002
New sufficient conditions for regularity of solutions to the Navier-Stokes equations. Zbl 1039.35077
He, Cheng
12
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
26
2001
On a nonhomogeneous Burgers’ equation. Zbl 0997.35071
Ding, Xiaqi; Jiu, Quansen; He, Cheng
5
2001
Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096
He, Cheng; Hsiao, Ling
18
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 450 Authors

22 Gala, Sadek
21 Zhang, Zujin
17 Han, Pigong
15 He, Cheng
15 Zhou, Yong
12 Ragusa, Maria Alessandra
11 Kim, Jaemyoung
11 Wang, Yanqing
11 Wang, Yinxia
11 Wang, Yuzhu
11 Yamazaki, Kazuo
10 Bae, Hyeong-Ohk
10 Yao, Zhengan
9 Liu, Qiao
9 Xu, Fuyi
9 Yuan, Baoquan
8 Guo, Zhengguang
8 Wang, Shu
8 Zhou, Daoguo
7 Dong, Boqing
7 Fan, Jishan
7 Jin, Bumja
7 Li, Shan
7 Liu, Zhaoxia
7 Wu, Jiahong
6 Du, Yi
6 Jiu, Quansen
6 Li, Yongsheng
6 Roh, Jaiok
6 Yang, Minsuk
5 Bian, Dongfen
5 Brandolese, Lorenzo
5 He, Yinnian
5 Jia, Xuanji
5 Kang, Kyungkeun
5 Qiu, Hua
5 Sun, Chunyou
5 Wang, Yun
5 Wu, Gang
5 Zhai, Xiaoping
5 Zhang, Guodong
5 Zhang, Zhifei
5 Zhao, Jihong
4 Chen, Qionglei
4 Chen, Xiaochun
4 Jia, Yan
4 Qin, Yuming
4 Wang, Wendong
4 Wu, Yonghong
4 Xu, Xiaojing
4 Ye, Zhuan
4 Zhang, Qian
4 Zhu, Mingxuan
3 Benbernou, Samia
3 Chen, Fei
3 Chen, Zhimin
3 Choe, Hi Jun
3 Cui, Shangbin
3 Feng, Xinlong
3 Guermond, Jean-Luc
3 Huang, Jianhua
3 Kukavica, Igor
3 Lee, Jihoon
3 Liu, Jitao
3 Ma, Liangliang
3 Miao, Changxing
3 Neustupa, Jiří
3 Pu, Xueke
3 Qian, Chenyin
3 Qiu, Shulin
3 Su, Haiyan
3 Vyalov, V. A.
3 Wang, Na
3 Weng, Shangkun
3 Wu, Zhonglin
3 Xiao, Yanping
3 Xin, Zhouping
3 Yan, Wei
3 Yong, Yan
3 Yu, Huan
3 Zhang, Zhen
3 Zhao, Xiaopeng
3 Zhong, Dingxing
2 Amirat, Youcef Aït
2 Beirão da Veiga, Hugo
2 Bie, Qunyi
2 Bradshaw, Zachary
2 Cao, Chongsheng
2 Chae, Dongho
2 Chamorro, Diego
2 Chang, Tongkeun
2 Du, Lili
2 Fu, Peng
2 Gui, Guilong
2 Guo, Boling
2 Guo, Zhenhua
2 He, Jiao
2 Hu, Liping
2 Ji, Xiang
2 Jiang, Song
...and 350 more Authors
all top 5

Cited in 112 Serials

44 Journal of Mathematical Analysis and Applications
34 Journal of Differential Equations
29 Mathematical Methods in the Applied Sciences
27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
24 Nonlinear Analysis. Real World Applications
22 ZAMP. Zeitschrift für angewandte Mathematik und Physik
21 Journal of Mathematical Fluid Mechanics
15 Journal of Mathematical Physics
13 Applied Mathematics and Computation
13 Applied Mathematics Letters
12 Boundary Value Problems
11 Acta Mathematicae Applicatae Sinica. English Series
10 Journal of Functional Analysis
9 Applicable Analysis
9 Computers & Mathematics with Applications
9 Acta Mathematica Sinica. English Series
8 Acta Applicandae Mathematicae
7 Communications on Pure and Applied Analysis
5 Communications in Mathematical Physics
5 Journal of Mathematical Sciences (New York)
5 Discrete and Continuous Dynamical Systems
5 Journal of Evolution Equations
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Applications of Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Mathematical Analysis
4 Abstract and Applied Analysis
4 Discrete and Continuous Dynamical Systems. Series B
4 Science China. Mathematics
3 Archive for Rational Mechanics and Analysis
3 Annales Polonici Mathematici
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Journal of Nonlinear Science
3 Journal of Applied Mathematics
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Kinetic and Related Models
3 Journal of Function Spaces
2 Nonlinearity
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Chinese Annals of Mathematics. Series B
2 Journal of Scientific Computing
2 Forum Mathematicum
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Communications in Partial Differential Equations
2 Calculus of Variations and Partial Differential Equations
2 NoDEA. Nonlinear Differential Equations and Applications
2 Mathematical Physics, Analysis and Geometry
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Advances in Difference Equations
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Evolution Equations and Control Theory
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 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Nachrichten
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 Numerical Methods for Partial Differential Equations
1 Asymptotic Analysis
1 International Journal of Mathematics
1 Stochastic Processes and their Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Dynamics and Differential Equations
1 Electronic Journal of Differential Equations (EJDE)
1 Advances in Applied Clifford Algebras
1 Filomat
1 Bulletin des Sciences Mathématiques
1 Advances in Computational Mathematics
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Positivity
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Contemporary Mathematics
1 Annales Mathematicae Silesianae
1 Portugaliae Mathematica. Nova Série
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Hyperbolic Differential Equations
1 Mediterranean Journal of Mathematics
...and 12 more Serials

Citations by Year