## He, Cheng

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 Author ID: 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
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### Co-Authors

 13 single-authored 5 Xin, Zhouping 4 Miyakawa, Tetsuro 4 Wang, Yun 3 Cheng, Ran 3 Zhang, Weitao 3 Zhou, Daoguo 2 Dai, Jiyang 2 Han, Pigong 2 Hsiao, Ling 2 Li, Pinwei 2 Qu, Changzheng 2 Wang, Lizhen 2 Zhang, Zhe 1 Chen, Yiming 1 Ding, Xia-xi 1 Hou, Zhanglu 1 Huang, Feimin 1 Huang, Xiangdi 1 Jiu, Quansen 1 Li, Hailiang 1 Li, Shisheng 1 Liu, Quansen 1 Lü, Boqiang 1 Pan, Tianci 1 Tan, Hao 1 Tang, Dexuan 1 Wang, Yanqing 1 Wu, Jian 1 Xu, Libin 1 Ying, Jin 1 Yong, Yan
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### Serials

 6 Mathematical Methods in the Applied Sciences 5 Journal of Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Systems Science and Mathematical Sciences 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Science China. Mathematics 2 Journal of Functional Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Complexity 2 Acta Mathematica Sinica. English Series 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Physics 1 Nonlinearity 1 Acta Mathematica Sinica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Information Sciences 1 Mathematische Zeitschrift 1 Mathematics in Practice and Theory 1 Acta Mathematicae Applicatae Sinica. English Series 1 Science in China. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advances in Mathematical Sciences and Applications 1 Journal of Nonlinear Science 1 Methods and Applications of Analysis 1 RAIRO. Operations Research 1 Acta Mathematica Scientia. Series B. (English Edition) 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Electronic Research Archive
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### Fields

 46 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX)

### 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
2005
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110
He, Cheng; Xin, Zhouping
2005
On the regularity criteria for weak solutions to the magnetohydrodynamic equations. Zbl 1220.35117
He, Cheng; Wang, Yun
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
2001
Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Zbl 0993.35072
He, Cheng
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
2003
Remark on the regularity for weak solutions to the magnetohydrodynamic equations. Zbl 1153.35064
He, Cheng; Wang, Yun
2008
Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095
He, Cheng; Miyakawa, Tetsuro
2006
Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096
He, Cheng; Hsiao, Ling
2000
On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061
He, Cheng; Miyakawa, Tetsuro
2009
On some new global existence results for 3D magnetohydrodynamic equations. Zbl 1288.35392
He, Cheng; Huang, Xiangdi; Wang, Yun
2014
Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160
Han, Pigong; He, Cheng
2012
New sufficient conditions for regularity of solutions to the Navier-Stokes equations. Zbl 1039.35077
He, Cheng
2002
Weighted estimates for nonstationary Navier-Stokes equations. Zbl 0910.35092
He, Cheng
1998
Weighted estimates for nonstationary Navier-Stokes equations in exterior domains. Zbl 1007.76012
He, Cheng; Xin, Zhou-Ping
2000
Moment estimates for weak solutions to the Navier-Stokes equations in half-space. Zbl 1175.35102
He, Cheng; Wang, Lizhen
2009
On partial regularity for weak solutions to the Navier-Stokes equations. Zbl 1062.35065
He, Cheng
2004
Remarks on the regularity to 3D ideal magnetohydrodynamic equations. Zbl 1083.35115
Liu, Quansen; He, Cheng
2004
Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations. Zbl 1214.35044
He, Cheng; Wang, Yun
2010
On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215
He, Cheng; Miyakawa, Tetsuro
2006
The decay rates of strong solutions for Navier-Stokes equations. Zbl 1027.35093
He, Cheng; Hsiao, Ling
2002
On a nonhomogeneous Burgers’ equation. Zbl 0997.35071
Ding, Xiaqi; Jiu, Quansen; He, Cheng
2001
Stability of planar diffusion wave for nonlinear evolution equation. Zbl 1239.35016
He, Cheng; Huang, FeiMin; Yong, Yan
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
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
2011
The Cauchy problem for Navier-Stokes equations. Zbl 0880.35091
He, Cheng
1997
On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363
He, Cheng; Xin, Zhouping
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
2021
The existence, uniqueness, and regularity for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1241.35160
He, Cheng; Zhou, Daoguo
2012
Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081
Han, Pigong; He, Cheng
2012
Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1293.35245
He, Cheng; Zhou, Daoguo
2014
Resonance and generalized Navier-Stokes equations. Zbl 0987.35124
He, Cheng
2000
Existence and regularity of a class of weak solutions to the Navier-Stokes equations. Zbl 0888.35079
He, Cheng
1997
Boundary layer estimation of a singular problem with limit equation of order 2. Zbl 0921.35050
He, Cheng; Zhang, Weitao
1996
The initial boundary value problem for Navier-Stokes equations. Zbl 0939.35138
He, Cheng
1999
Global weak solutions for the two-component Novikov equation. Zbl 1458.37069
He, Cheng; Qu, Changzheng
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
2021
Global weak solutions for the two-component Novikov equation. Zbl 1458.37069
He, Cheng; Qu, Changzheng
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
2019
On some new global existence results for 3D magnetohydrodynamic equations. Zbl 1288.35392
He, Cheng; Huang, Xiangdi; Wang, Yun
2014
Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1293.35245
He, Cheng; Zhou, Daoguo
2014
Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160
Han, Pigong; He, Cheng
2012
Stability of planar diffusion wave for nonlinear evolution equation. Zbl 1239.35016
He, Cheng; Huang, FeiMin; Yong, Yan
2012
The existence, uniqueness, and regularity for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1241.35160
He, Cheng; Zhou, Daoguo
2012
Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081
Han, Pigong; He, Cheng
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
2011
Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations. Zbl 1214.35044
He, Cheng; Wang, Yun
2010
On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061
He, Cheng; Miyakawa, Tetsuro
2009
Moment estimates for weak solutions to the Navier-Stokes equations in half-space. Zbl 1175.35102
He, Cheng; Wang, Lizhen
2009
On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363
He, Cheng; Xin, Zhouping
2009
Remark on the regularity for weak solutions to the magnetohydrodynamic equations. Zbl 1153.35064
He, Cheng; Wang, Yun
2008
On the regularity criteria for weak solutions to the magnetohydrodynamic equations. Zbl 1220.35117
He, Cheng; Wang, Yun
2007
Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095
He, Cheng; Miyakawa, Tetsuro
2006
On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215
He, Cheng; Miyakawa, Tetsuro
2006
On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154
He, Cheng; Xin, Zhouping
2005
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110
He, Cheng; Xin, Zhouping
2005
On partial regularity for weak solutions to the Navier-Stokes equations. Zbl 1062.35065
He, Cheng
2004
Remarks on the regularity to 3D ideal magnetohydrodynamic equations. Zbl 1083.35115
Liu, Quansen; He, Cheng
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
2003
Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Zbl 0993.35072
He, Cheng
2002
New sufficient conditions for regularity of solutions to the Navier-Stokes equations. Zbl 1039.35077
He, Cheng
2002
The decay rates of strong solutions for Navier-Stokes equations. Zbl 1027.35093
He, Cheng; Hsiao, Ling
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
2001
On a nonhomogeneous Burgers’ equation. Zbl 0997.35071
Ding, Xiaqi; Jiu, Quansen; He, Cheng
2001
Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096
He, Cheng; Hsiao, Ling
2000
Weighted estimates for nonstationary Navier-Stokes equations in exterior domains. Zbl 1007.76012
He, Cheng; Xin, Zhou-Ping
2000
Resonance and generalized Navier-Stokes equations. Zbl 0987.35124
He, Cheng
2000
The initial boundary value problem for Navier-Stokes equations. Zbl 0939.35138
He, Cheng
1999
Weighted estimates for nonstationary Navier-Stokes equations. Zbl 0910.35092
He, Cheng
1998
The Cauchy problem for Navier-Stokes equations. Zbl 0880.35091
He, Cheng
1997
Existence and regularity of a class of weak solutions to the Navier-Stokes equations. Zbl 0888.35079
He, Cheng
1997
Boundary layer estimation of a singular problem with limit equation of order 2. Zbl 0921.35050
He, Cheng; Zhang, Weitao
1996
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### 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
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### 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
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### Cited in 22 Fields

 449 Partial differential equations (35-XX) 429 Fluid mechanics (76-XX) 15 Numerical analysis (65-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 4 Functions of a complex variable (30-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Measure and integration (28-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX)