Edit Profile (opens in new tab) He, Cheng Co-Author Distance Author ID: he.cheng Published as: He, Cheng Documents Indexed: 54 Publications since 1994 Reviewing Activity: 170 Reviews Co-Authors: 16 Co-Authors with 29 Joint Publications 602 Co-Co-Authors all top 5 Co-Authors 13 single-authored 5 Xin, Zhouping 4 Miyakawa, Tetsuro 4 Wang, Yun 3 Qu, Changzheng 3 Zhang, Weitao 3 Zhou, Daoguo 2 Dai, Jiyang 2 Han, Pigong 2 Hsiao, Ling 2 Li, Pinwei 2 Wang, Lizhen 2 Zhang, Zhe 1 Chen, Yanfeng 1 Cheng, Ran 1 Ding, Xia-xi 1 Hou, Zhanglu 1 Huang, Feimin 1 Huang, Xiangdi 1 Jiu, Quansen 1 Lai, Hua-Shan 1 Li, Hailiang 1 Li, Jing 1 Li, Shisheng 1 Liu, Quansen 1 Liu, Xiaochuan 1 Lü, Boqiang 1 Wang, Junling 1 Wang, Yanqing 1 Wu, Jian 1 Xie, Jianlan 1 Xu, Jinglei 1 Xu, Libin 1 Ying, Jin 1 Yong, Yan 1 Zambrano-Luna, B. A. 1 Zhang, Wangyang 1 Zúñiga-Galindo, Wilson A. all top 5 Serials 6 Mathematical Methods in the Applied Sciences 5 Journal of Differential Equations 4 Science China. Mathematics 3 Journal of Mathematical Analysis and Applications 3 Systems Science and Mathematical Sciences 3 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Functional Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Complexity 2 Acta Mathematica Sinica. English Series 2 RAIRO. Operations Research 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Physics 1 Nonlinearity 1 Physics Letters. A 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 Acta Mathematica Scientia. Series B. (English Edition) 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 PTEP. Progress of Theoretical and Experimental Physics 1 Electronic Research Archive all top 5 Fields 47 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 833 times in 559 Documents Cited by ▼ Year ▼ On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154He, Cheng; Xin, Zhouping 294 2005 Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110He, Cheng; Xin, Zhouping 138 2005 On the regularity criteria for weak solutions to the magnetohydrodynamic equations. Zbl 1220.35117He, Cheng; Wang, Yun 75 2007 Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Zbl 0993.35072He, Cheng 31 2002 On the decay properties of solutions to the non-stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 0982.35083He, Cheng; Xin, Zhouping 31 2001 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 29 2003 Remark on the regularity for weak solutions to the magnetohydrodynamic equations. Zbl 1153.35064He, Cheng; Wang, Yun 24 2008 Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096He, Cheng; Hsiao, Ling 21 2000 Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095He, Cheng; Miyakawa, Tetsuro 20 2006 On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061He, Cheng; Miyakawa, Tetsuro 19 2009 On some new global existence results for 3D magnetohydrodynamic equations. Zbl 1288.35392He, Cheng; Huang, Xiangdi; Wang, Yun 19 2014 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 16 2021 Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160Han, Pigong; He, Cheng 14 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 Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations. Zbl 1214.35044He, Cheng; Wang, Yun 9 2010 On partial regularity for weak solutions to the Navier-Stokes equations. Zbl 1062.35065He, Cheng 8 2004 On a nonhomogeneous Burgers’ equation. Zbl 0997.35071Ding, Xiaqi; Jiu, Quansen; He, Cheng 7 2001 Moment estimates for weak solutions to the Navier-Stokes equations in half-space. Zbl 1175.35102He, Cheng; Wang, Lizhen 7 2009 Remarks on the regularity to 3D ideal magnetohydrodynamic equations. Zbl 1083.35115Liu, Quansen; He, Cheng 7 2004 On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215He, Cheng; Miyakawa, Tetsuro 7 2006 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 6 2019 Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1293.35245He, Cheng; Zhou, Daoguo 6 2014 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 5 2011 The decay rates of strong solutions for Navier-Stokes equations. Zbl 1027.35093He, Cheng; Hsiao, Ling 5 2002 Stability of planar diffusion wave for nonlinear evolution equation. Zbl 1239.35016He, Cheng; Huang, FeiMin; Yong, Yan 5 2012 On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363He, Cheng; Xin, Zhouping 3 2009 The Cauchy problem for Navier-Stokes equations. Zbl 0880.35091He, Cheng 3 1997 Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081Han, Pigong; He, Cheng 2 2012 The existence, uniqueness, and regularity for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1241.35160He, Cheng; Zhou, Daoguo 2 2012 Existence and regularity of a class of weak solutions to the Navier-Stokes equations. Zbl 0888.35079He, Cheng 1 1997 Approximation-based fixed-time adaptive tracking control for a class of uncertain nonlinear pure-feedback systems. Zbl 1435.93073He, Cheng; Wu, Jian; Dai, Jiyang; Zhang, Zhe; Xu, Libin; Li, Pinwei 1 2020 Simultaneous optimization scheduling with two agents on an unbounded serial-batching machine. Zbl 1486.90092He, Cheng; Li, Shi-Sheng; Wu, Jing 1 2021 Global weak solutions for the two-component Novikov equation. Zbl 1458.37069He, Cheng; Qu, Changzheng 1 2020 Reformulating preferences into constraints for evolutionary multi- and many-objective optimization. Zbl 1475.90090Hou, Zhanglu; He, Cheng; Cheng, Ran 1 2020 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 Resonance and generalized Navier-Stokes equations. Zbl 0987.35124He, Cheng 1 2000 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 16 2021 Simultaneous optimization scheduling with two agents on an unbounded serial-batching machine. Zbl 1486.90092He, Cheng; Li, Shi-Sheng; Wu, Jing 1 2021 Approximation-based fixed-time adaptive tracking control for a class of uncertain nonlinear pure-feedback systems. Zbl 1435.93073He, Cheng; Wu, Jian; Dai, Jiyang; Zhang, Zhe; Xu, Libin; Li, Pinwei 1 2020 Global weak solutions for the two-component Novikov equation. Zbl 1458.37069He, Cheng; Qu, Changzheng 1 2020 Reformulating preferences into constraints for evolutionary multi- and many-objective optimization. Zbl 1475.90090Hou, Zhanglu; He, Cheng; Cheng, Ran 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 6 2019 On some new global existence results for 3D magnetohydrodynamic equations. Zbl 1288.35392He, Cheng; Huang, Xiangdi; Wang, Yun 19 2014 Existence and asymptotic behavior for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1293.35245He, Cheng; Zhou, Daoguo 6 2014 Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space. Zbl 1248.35160Han, Pigong; He, Cheng 14 2012 Stability of planar diffusion wave for nonlinear evolution equation. Zbl 1239.35016He, Cheng; Huang, FeiMin; Yong, Yan 5 2012 Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations. Zbl 1256.35081Han, Pigong; He, Cheng 2 2012 The existence, uniqueness, and regularity for an incompressible Newtonian flow with intrinsic degree of freedom. Zbl 1241.35160He, 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 1219.35171He, Cheng; Wang, Lizhen 5 2011 Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations. Zbl 1214.35044He, Cheng; Wang, Yun 9 2010 On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain. Zbl 1162.35061He, Cheng; Miyakawa, Tetsuro 19 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 24 2008 On the regularity criteria for weak solutions to the magnetohydrodynamic equations. Zbl 1220.35117He, Cheng; Wang, Yun 75 2007 Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries. Zbl 1122.35095He, Cheng; Miyakawa, Tetsuro 20 2006 On two-dimensional Navier-Stokes flows with rotational symmetries. Zbl 1179.35215He, Cheng; Miyakawa, Tetsuro 7 2006 On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154He, Cheng; Xin, Zhouping 294 2005 Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110He, Cheng; Xin, Zhouping 138 2005 On partial regularity for weak solutions to the Navier-Stokes equations. Zbl 1062.35065He, Cheng 8 2004 Remarks on the regularity to 3D ideal magnetohydrodynamic equations. Zbl 1083.35115Liu, 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 1042.35046He, Cheng; Miyakawa, Tetsuro 29 2003 Regularity for solutions to the Navier-Stokes equations with one velocity component regular. Zbl 0993.35072He, Cheng 31 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 31 2001 On a nonhomogeneous Burgers’ equation. Zbl 0997.35071Ding, Xiaqi; Jiu, Quansen; He, Cheng 7 2001 Two-dimensional Euler equations in a time dependent domain. Zbl 0958.35096He, Cheng; Hsiao, Ling 21 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 523 Authors 24 Gala, Sadek 22 Han, Pigong 21 Zhang, Zujin 16 Zhou, Yong 15 He, Cheng 14 Kim, Jaemyoung 14 Ragusa, Maria Alessandra 12 Guo, Zhengguang 12 Liu, Qiao 12 Wang, Yanqing 12 Yamazaki, Kazuo 11 Bae, Hyeong-Ohk 11 Wang, Yinxia 11 Wang, Yuzhu 11 Xu, Fuyi 11 Yao, Zhengan 10 Yuan, Baoquan 9 Zhou, Daoguo 8 Jin, Bumja 8 Wang, Shu 7 Dong, Boqing 7 Fan, Jishan 7 He, Yinnian 7 Jia, Xuanji 7 Li, Shan 7 Liu, Zhaoxia 7 Wu, Jiahong 7 Yang, Minsuk 6 Du, Yi 6 Jiu, Quansen 6 Li, Yongsheng 6 Qiu, Hua 6 Roh, Jaiok 6 Zhai, Xiaoping 6 Zhong, Xin 5 Bian, Dongfen 5 Brandolese, Lorenzo 5 Chen, Qionglei 5 Kang, Kyungkeun 5 Sun, Chunyou 5 Wang, Yun 5 Wu, Gang 5 Ye, Zhuan 5 Zhang, Guodong 5 Zhang, Zhifei 5 Zhao, Jihong 4 Chen, Xiaochun 4 Chen, Zhimin 4 Choe, Hi Jun 4 Jia, Yan 4 Kukavica, Igor 4 Liu, ChengGang 4 Ma, Liangliang 4 Neustupa, Jiří 4 Qin, Yuming 4 Wang, Wendong 4 Wang, Xuewen 4 Wu, Fan 4 Wu, Yonghong 4 Xu, Xiaojing 4 Zhu, Mingxuan 3 Benbernou, Samia 3 Chen, Fei 3 Cui, Shangbin 3 Du, Baoying 3 Feng, Xinlong 3 Fu, Peng 3 Guermond, Jean-Luc 3 Huang, Jianhua 3 Huang, Pengzhan 3 Lai, Baishun 3 Lee, Jihoon 3 Lei, Keke 3 Li, Zijin 3 Liu, Jitao 3 Miao, Changxing 3 Pu, Xueke 3 Qian, Chenyin 3 Qiu, Shulin 3 Su, Haiyan 3 Tan, Zhong 3 Vyalov, V. A. 3 Wang, Na 3 Wei, Wei 3 Weng, Shangkun 3 Wu, Zhonglin 3 Xiao, Yanping 3 Xin, Zhouping 3 Yan, Wei 3 Yong, Yan 3 Yu, Huan 3 Zeng, Yong 3 Zhang, Qinghua 3 Zhang, Zhen 3 Zhao, Xiaopeng 3 Zhong, Dingxing 3 Ziane, Mohammed 2 Agarwal, Ravi P. 2 Amirat, Youcef Aït 2 Beirão da Veiga, Hugo ...and 423 more Authors all top 5 Cited in 124 Serials 49 Journal of Mathematical Analysis and Applications 38 Journal of Differential Equations 29 Mathematical Methods in the Applied Sciences 29 Journal of Mathematical Fluid Mechanics 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 ZAMP. Zeitschrift für angewandte Mathematik und Physik 26 Nonlinear Analysis. Real World Applications 19 Journal of Mathematical Physics 18 Applied Mathematics Letters 15 Boundary Value Problems 13 Applied Mathematics and Computation 11 Applicable Analysis 11 Acta Applicandae Mathematicae 11 Acta Mathematicae Applicatae Sinica. English Series 10 Journal of Functional Analysis 9 Computers & Mathematics with Applications 9 Acta Mathematica Sinica. English Series 7 Acta Mathematica Scientia. Series B. (English Edition) 7 Communications on Pure and Applied Analysis 6 Discrete and Continuous Dynamical Systems 5 Communications in Mathematical Physics 5 Applications of Mathematics 5 Journal of Mathematical Sciences (New York) 5 Journal of Evolution Equations 5 Discrete and Continuous Dynamical Systems. Series B 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Science China. Mathematics 4 Mathematische Nachrichten 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Abstract and Applied Analysis 4 Journal of Function Spaces 3 Archive for Rational Mechanics and Analysis 3 Nonlinearity 3 Annales Polonici Mathematici 3 Journal of Computational and Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Nonlinear Science 3 Calculus of Variations and Partial Differential Equations 3 Journal of Applied Mathematics 3 Kinetic and Related Models 3 SN Partial Differential Equations and Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Chinese Annals of Mathematics. Series B 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Forum Mathematicum 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 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 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 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Manuscripta Mathematica 1 Mathematische Annalen 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 The Journal of Geometric Analysis 1 Stochastic Processes and their Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Dynamics and Differential Equations 1 Applicationes Mathematicae 1 Advances in Applied Clifford Algebras 1 Filomat 1 Bulletin des Sciences Mathématiques 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 ...and 24 more Serials all top 5 Cited in 25 Fields 519 Partial differential equations (35-XX) 501 Fluid mechanics (76-XX) 23 Numerical analysis (65-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Real functions (26-XX) 5 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 4 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Systems theory; control (93-XX) 3 Probability theory and stochastic processes (60-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year