Edit Profile (opens in new tab) He, Cheng Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1072.35154He, Cheng; Xin, Zhouping 254 2005 Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110He, Cheng; Xin, Zhouping 117 2005 On the regularity criteria for weak solutions to the magnetohydrodynamic equations. Zbl 1220.35117He, Cheng; Wang, Yun 64 2007 On the decay properties of solutions to the non-stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 0982.35083He, Cheng; Xin, Zhouping 26 2001 Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Zbl 0993.35072He, Cheng 26 2002 On \(L^1\)-summability and asymptotic profiles for smooth solutions to Navier-Stokes equations in a 3D exterior domain. Zbl 1042.35046He, Cheng; Miyakawa, Tetsuro 26 2003 Remark on the regularity for weak solutions to the magnetohydrodynamic equations. Zbl 1153.35064He, Cheng; Wang, Yun 21 2008 Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095He, Cheng; Miyakawa, Tetsuro 19 2006 Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096He, Cheng; Hsiao, Ling 18 2000 On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061He, Cheng; Miyakawa, Tetsuro 18 2009 On some new global existence results for 3D magnetohydrodynamic equations. Zbl 1288.35392He, Cheng; Huang, Xiangdi; Wang, Yun 15 2014 Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160Han, Pigong; He, Cheng 13 2012 New sufficient conditions for regularity of solutions to the Navier-Stokes equations. Zbl 1039.35077He, Cheng 12 2002 Weighted estimates for nonstationary Navier-Stokes equations. Zbl 0910.35092He, Cheng 10 1998 Weighted estimates for nonstationary Navier-Stokes equations in exterior domains. Zbl 1007.76012He, Cheng; Xin, Zhou-Ping 10 2000 Moment estimates for weak solutions to the Navier-Stokes equations in half-space. Zbl 1175.35102He, Cheng; Wang, Lizhen 7 2009 On partial regularity for weak solutions to the Navier-Stokes equations. Zbl 1062.35065He, Cheng 7 2004 Remarks on the regularity to 3D ideal magnetohydrodynamic equations. Zbl 1083.35115Liu, Quansen; He, Cheng 6 2004 Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations. Zbl 1214.35044He, Cheng; Wang, Yun 6 2010 On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215He, Cheng; Miyakawa, Tetsuro 5 2006 The decay rates of strong solutions for Navier-Stokes equations. Zbl 1027.35093He, Cheng; Hsiao, Ling 5 2002 On a nonhomogeneous Burgers’ equation. Zbl 0997.35071Ding, Xiaqi; Jiu, Quansen; He, Cheng 5 2001 Stability of planar diffusion wave for nonlinear evolution equation. Zbl 1239.35016He, 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 1427.35177He, 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 1219.35171He, Cheng; Wang, Lizhen 4 2011 The Cauchy problem for Navier-Stokes equations. Zbl 0880.35091He, Cheng 3 1997 On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363He, 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 1462.35243He, Cheng; Li, Jing; Lü, Boqiang 3 2021 The existence, uniqueness, and regularity for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1241.35160He, Cheng; Zhou, Daoguo 2 2012 Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081Han, Pigong; He, Cheng 2 2012 Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1293.35245He, Cheng; Zhou, Daoguo 2 2014 Resonance and generalized Navier-Stokes equations. Zbl 0987.35124He, Cheng 1 2000 Existence and regularity of a class of weak solutions to the Navier-Stokes equations. Zbl 0888.35079He, Cheng 1 1997 Boundary layer estimation of a singular problem with limit equation of order 2. Zbl 0921.35050He, Cheng; Zhang, Weitao 1 1996 The initial boundary value problem for Navier-Stokes equations. Zbl 0939.35138He, Cheng 1 1999 Global weak solutions for the two-component Novikov equation. Zbl 1458.37069He, 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 1462.35243He, Cheng; Li, Jing; Lü, Boqiang 3 2021 Global weak solutions for the two-component Novikov equation. Zbl 1458.37069He, Cheng; Qu, Changzheng 1 2020 New \(\varepsilon \)-regularity criteria of suitable weak solutions of the 3D Navier-Stokes equations at one scale. Zbl 1427.35177He, Cheng; Wang, Yanqing; Zhou, Daoguo 4 2019 On some new global existence results for 3D magnetohydrodynamic equations. Zbl 1288.35392He, Cheng; Huang, Xiangdi; Wang, Yun 15 2014 Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1293.35245He, Cheng; Zhou, Daoguo 2 2014 Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160Han, Pigong; He, Cheng 13 2012 Stability of planar diffusion wave for nonlinear evolution equation. Zbl 1239.35016He, Cheng; Huang, FeiMin; Yong, Yan 4 2012 The existence, uniqueness, and regularity for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1241.35160He, Cheng; Zhou, Daoguo 2 2012 Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081Han, 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 1219.35171He, Cheng; Wang, Lizhen 4 2011 Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations. Zbl 1214.35044He, Cheng; Wang, Yun 6 2010 On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061He, Cheng; Miyakawa, Tetsuro 18 2009 Moment estimates for weak solutions to the Navier-Stokes equations in half-space. Zbl 1175.35102He, Cheng; Wang, Lizhen 7 2009 On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363He, Cheng; Xin, Zhouping 3 2009 Remark on the regularity for weak solutions to the magnetohydrodynamic equations. Zbl 1153.35064He, Cheng; Wang, Yun 21 2008 On the regularity criteria for weak solutions to the magnetohydrodynamic equations. Zbl 1220.35117He, Cheng; Wang, Yun 64 2007 Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095He, Cheng; Miyakawa, Tetsuro 19 2006 On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215He, Cheng; Miyakawa, Tetsuro 5 2006 On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154He, Cheng; Xin, Zhouping 254 2005 Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110He, Cheng; Xin, Zhouping 117 2005 On partial regularity for weak solutions to the Navier-Stokes equations. Zbl 1062.35065He, Cheng 7 2004 Remarks on the regularity to 3D ideal magnetohydrodynamic equations. Zbl 1083.35115Liu, 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 1042.35046He, Cheng; Miyakawa, Tetsuro 26 2003 Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Zbl 0993.35072He, Cheng 26 2002 New sufficient conditions for regularity of solutions to the Navier-Stokes equations. Zbl 1039.35077He, Cheng 12 2002 The decay rates of strong solutions for Navier-Stokes equations. Zbl 1027.35093He, Cheng; Hsiao, Ling 5 2002 On the decay properties of solutions to the non-stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 0982.35083He, Cheng; Xin, Zhouping 26 2001 On a nonhomogeneous Burgers’ equation. Zbl 0997.35071Ding, Xiaqi; Jiu, Quansen; He, Cheng 5 2001 Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096He, Cheng; Hsiao, Ling 18 2000 Weighted estimates for nonstationary Navier-Stokes equations in exterior domains. Zbl 1007.76012He, Cheng; Xin, Zhou-Ping 10 2000 Resonance and generalized Navier-Stokes equations. Zbl 0987.35124He, Cheng 1 2000 The initial boundary value problem for Navier-Stokes equations. Zbl 0939.35138He, Cheng 1 1999 Weighted estimates for nonstationary Navier-Stokes equations. Zbl 0910.35092He, Cheng 10 1998 The Cauchy problem for Navier-Stokes equations. Zbl 0880.35091He, Cheng 3 1997 Existence and regularity of a class of weak solutions to the Navier-Stokes equations. Zbl 0888.35079He, Cheng 1 1997 Boundary layer estimation of a singular problem with limit equation of order 2. Zbl 0921.35050He, Cheng; Zhang, Weitao 1 1996 all cited Publications top 5 cited Publications 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 all top 5 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) Citations by Year