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## Yuan, Baoquan

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 Author ID: yuan.baoquan Published as: Yuan, B.; Yuan, Bao Quan; Yuan, Bao-Quan; Yuan, Baoquan
 Documents Indexed: 64 Publications since 2001
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#### Co-Authors

 11 single-authored 8 Miao, Changxing 4 Zhang, Bo 3 Bian, Dongfen 3 Li, Fengping 3 Zhao, Xiaokui 2 Bai, Linna 2 Li, Chaoying 2 Li, Xiao 2 Liu, Kunhong 2 Liu, Yun 2 Qiao, Yuanyuan 2 Qin, Guoquan 2 Wei, Chengzhou 2 Wu, Jiahong 2 Xiao, Yamin 2 Yuan, Jia 2 Zhang, Qiuyue 2 Zhao, Jiefeng 2 Zhu, Hua 1 Cannone, Marco 1 Cao, Chongsheng 1 Li, Qiang 1 Li, Rui 1 Li, Rui 1 Li, Zilai 1 Ma, Li 1 Prioux, Nicolas 1 Shang, Haifeng 1 Yan, Xiaoli 1 Zhang, Panpan 1 Zhou, Daoguo
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#### Serials

 6 Journal of Mathematical Analysis and Applications 3 Applicable Analysis 3 Mathematical Methods in the Applied Sciences 3 Acta Mathematicae Applicatae Sinica. English Series 3 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Applied Mathematics Letters 2 Chinese Quarterly Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 Kinetic and Related Models 1 Rocky Mountain Journal of Mathematics 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica 1 Mathematica Applicata 1 Science in China. Series A 1 SIAM Journal on Mathematical Analysis 1 Journal of Partial Differential Equations 1 Applied Mathematics. Series A (Chinese Edition) 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Yunnan University. Natural Sciences Edition 1 Journal of Shandong University. Natural Science 1 Boundary Value Problems 1 Acta Mathematica Sinica. Chinese Series 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Dynamical Systems and Differential Equations 1 Journal of Nonlinear Science and Applications 1 Journal of Applied Analysis and Computation
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#### Fields

 58 Partial differential equations (35-XX) 49 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Geophysics (86-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH

39 Publications have been cited 428 times in 329 Documents Cited by Year
The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. Zbl 1293.35233
Cao, Chongsheng; Wu, Jiahong; Yuan, Baoquan
2014
Well-posedness of the Cauchy problem for the fractional power dissipative equations. Zbl 1132.35047
Miao, Changxing; Yuan, Baoquan; Zhang, Bo
2008
Regularity of weak solutions to magneto-micropolar fluid equations. Zbl 1240.35421
Yuan, Baoquan
2010
Well-posedness for the incompressible magneto-hydrodynamic system. Zbl 1115.76082
Miao, Changxing; Yuan, Baoquan; Zhang, Bo
2007
Remarks on global regularity of 2D generalized MHD equations. Zbl 1311.35237
Yuan, Baoquan; Bai, Linna
2014
On regularity criteria for weak solutions to the micropolar fluid equations in Lorentz space. Zbl 1191.35217
Yuan, Baoquan
2010
On the well-posedness of the Cauchy problem for an MHD system in Besov spaces. Zbl 1153.76066
Miao, Changxing; Yuan, Baoquan
2009
Global regularity of 2D almost resistive MHD equations. Zbl 1406.35080
Yuan, Baoquan; Zhao, Jiefeng
2018
The Cauchy problem for the magneto-hydrodynamic system. Zbl 1104.76085
Cannone, Marco; Miao, Changxing; Prioux, Nicolas; Yuan, Baoquan
2006
Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices. Zbl 1134.35089
Yuan, Baoquan; Zhang, Bo
2007
Weak Morrey spaces and strong solutions to the Navier-Stokes equations. Zbl 1149.35071
Miao, Changxing; Yuan, Baoquan
2007
Note on the blowup criterion of smooth solution to the incompressible viscoelastic flow. Zbl 1262.76010
Yuan, Baoquan
2013
Solutions to some nonlinear parabolic equations in pseudomeasure spaces. Zbl 1110.35024
Miao, Changxing; Yuan, Baoquan
2007
Well-posedness of the ideal MHD system in critical Besov spaces. Zbl 1202.35173
Miao, Changxing; Yuan, Baoquan
2006
Blowup of smooth solutions to the full compressible MHD system with compact density. Zbl 1292.35244
Yuan, Baoquan; Zhao, Xiaokui
2014
Strong solutions to the nonlinear heat equation in homogeneous Besov spaces. Zbl 1124.35029
Miao, Changxing; Yuan, Baoquan; Zhang, Bo
2007
The blowup criterion of a smooth solution to the incompressible viscoelastic flow. Zbl 1306.35103
Yuan, Baoquan; Li, Rui
2013
Regularity condition of solutions to the quasi-geostrophic equations in Besov spaces with negative indices. Zbl 1198.35201
Yuan, Bao-Quan
2010
Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces. Zbl 1163.76052
Yuan, Baoquan; Yuan, Jia
2009
Blow-up criteria for the 2D full compressible MHD system. Zbl 1307.35240
Yuan, Baoquan; Zhao, Xiaokui
2014
On the blow-up criterion of smooth solutions to the MHD system in BMO space. Zbl 1099.76076
Yuan, Baoquan
2006
Blow up criterion of smooth solutions to the MHD equations in Besov spaces. Zbl 1081.35091
Yuan, Baoquan
2005
Blow-up criteria of smooth solutions to the three-dimensional micropolar fluid equations in Besov space. Zbl 1356.35193
Yuan, Baoquan; Li, Xiao
2016
Local well-posedness in critical spaces for the compressible MHD equations. Zbl 1333.76089
Bian, Dongfen; Yuan, Baoquan
2016
Local existence of strong solutions to the $$k$$-$$\varepsilon$$ model equations for turbulent flows. Zbl 1330.35356
Yuan, Baoquan; Qin, Guoquan
2016
The blow-up criteria of smooth solutions to the generalized and ideal incompressible viscoelastic flow. Zbl 1335.35209
Yuan, Baoquan; Li, Rui
2015
Well-posedness in super critical Besov spaces for the compressible MHD equations. Zbl 1229.35201
Bian, Dongfen; Yuan, Baoquan
2011
Refinements of Carleman’s inequality. Zbl 0993.26008
Yuan, Baoquan
2001
Global regularity of the generalized liquid crystal model with fractional diffusion. Zbl 1395.35065
Yuan, Baoquan; Wei, Chengzhou
2018
BKM’s criterion for the 3D nematic liquid crystal flows in Besov spaces of negative regular index. Zbl 1412.35274
Yuan, Baoquan; Wei, Chengzhou
2017
Existence of strong solution to the Magneto-micropolar fluid equations in critical Sobolev space. Zbl 1374.35112
Yuan, Baoquan; Ma, Li
2016
The blow-up criterion via horizontal component of velocity for the Hall-MHD equations. Zbl 1351.76313
Yuan, Baoquan; Liu, Kunhong
2016
$$L^2$$-asymptotic stability of the mild solution to the 3D MHD equation. Zbl 1410.35147
Yuan, Baoquan; Bai, Linna
2015
Regularity criteria of axisymmetric weak solutions to the 3D magnetohydrodynamic equations. Zbl 1329.35256
Yuan, Bao-Quan; Li, Feng-Ping
2013
Regularity of weak solutions to 3D magneto-micropolar fluid equations. Zbl 1265.35045
Zhu, Hua; Yuan, Baoquan
2012
Regularity of weak solutions to the generalized Navier-Stokes equations. Zbl 1265.35244
Bian, Dongfen; Yuan, Baoquan
2011
Local existence and continuity conditions of solutions to the Boussinesq equations in Besov spaces. Zbl 1224.35354
Yuan, Baoquan
2010
The dissipative quasi-geostrophic equation in weak Morrey spaces. Zbl 1143.35352
Yuan, Bao Quan
2008
The Cauchy problems and global solutions to the Deybe system and Burgers’ equations in pseudomeasure spaces. Zbl 1119.35080
Yuan, Bao Quan
2007
Global regularity of 2D almost resistive MHD equations. Zbl 1406.35080
Yuan, Baoquan; Zhao, Jiefeng
2018
Global regularity of the generalized liquid crystal model with fractional diffusion. Zbl 1395.35065
Yuan, Baoquan; Wei, Chengzhou
2018
BKM’s criterion for the 3D nematic liquid crystal flows in Besov spaces of negative regular index. Zbl 1412.35274
Yuan, Baoquan; Wei, Chengzhou
2017
Blow-up criteria of smooth solutions to the three-dimensional micropolar fluid equations in Besov space. Zbl 1356.35193
Yuan, Baoquan; Li, Xiao
2016
Local well-posedness in critical spaces for the compressible MHD equations. Zbl 1333.76089
Bian, Dongfen; Yuan, Baoquan
2016
Local existence of strong solutions to the $$k$$-$$\varepsilon$$ model equations for turbulent flows. Zbl 1330.35356
Yuan, Baoquan; Qin, Guoquan
2016
Existence of strong solution to the Magneto-micropolar fluid equations in critical Sobolev space. Zbl 1374.35112
Yuan, Baoquan; Ma, Li
2016
The blow-up criterion via horizontal component of velocity for the Hall-MHD equations. Zbl 1351.76313
Yuan, Baoquan; Liu, Kunhong
2016
The blow-up criteria of smooth solutions to the generalized and ideal incompressible viscoelastic flow. Zbl 1335.35209
Yuan, Baoquan; Li, Rui
2015
$$L^2$$-asymptotic stability of the mild solution to the 3D MHD equation. Zbl 1410.35147
Yuan, Baoquan; Bai, Linna
2015
The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. Zbl 1293.35233
Cao, Chongsheng; Wu, Jiahong; Yuan, Baoquan
2014
Remarks on global regularity of 2D generalized MHD equations. Zbl 1311.35237
Yuan, Baoquan; Bai, Linna
2014
Blowup of smooth solutions to the full compressible MHD system with compact density. Zbl 1292.35244
Yuan, Baoquan; Zhao, Xiaokui
2014
Blow-up criteria for the 2D full compressible MHD system. Zbl 1307.35240
Yuan, Baoquan; Zhao, Xiaokui
2014
Note on the blowup criterion of smooth solution to the incompressible viscoelastic flow. Zbl 1262.76010
Yuan, Baoquan
2013
The blowup criterion of a smooth solution to the incompressible viscoelastic flow. Zbl 1306.35103
Yuan, Baoquan; Li, Rui
2013
Regularity criteria of axisymmetric weak solutions to the 3D magnetohydrodynamic equations. Zbl 1329.35256
Yuan, Bao-Quan; Li, Feng-Ping
2013
Regularity of weak solutions to 3D magneto-micropolar fluid equations. Zbl 1265.35045
Zhu, Hua; Yuan, Baoquan
2012
Well-posedness in super critical Besov spaces for the compressible MHD equations. Zbl 1229.35201
Bian, Dongfen; Yuan, Baoquan
2011
Regularity of weak solutions to the generalized Navier-Stokes equations. Zbl 1265.35244
Bian, Dongfen; Yuan, Baoquan
2011
Regularity of weak solutions to magneto-micropolar fluid equations. Zbl 1240.35421
Yuan, Baoquan
2010
On regularity criteria for weak solutions to the micropolar fluid equations in Lorentz space. Zbl 1191.35217
Yuan, Baoquan
2010
Regularity condition of solutions to the quasi-geostrophic equations in Besov spaces with negative indices. Zbl 1198.35201
Yuan, Bao-Quan
2010
Local existence and continuity conditions of solutions to the Boussinesq equations in Besov spaces. Zbl 1224.35354
Yuan, Baoquan
2010
On the well-posedness of the Cauchy problem for an MHD system in Besov spaces. Zbl 1153.76066
Miao, Changxing; Yuan, Baoquan
2009
Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces. Zbl 1163.76052
Yuan, Baoquan; Yuan, Jia
2009
Well-posedness of the Cauchy problem for the fractional power dissipative equations. Zbl 1132.35047
Miao, Changxing; Yuan, Baoquan; Zhang, Bo
2008
The dissipative quasi-geostrophic equation in weak Morrey spaces. Zbl 1143.35352
Yuan, Bao Quan
2008
Well-posedness for the incompressible magneto-hydrodynamic system. Zbl 1115.76082
Miao, Changxing; Yuan, Baoquan; Zhang, Bo
2007
Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices. Zbl 1134.35089
Yuan, Baoquan; Zhang, Bo
2007
Weak Morrey spaces and strong solutions to the Navier-Stokes equations. Zbl 1149.35071
Miao, Changxing; Yuan, Baoquan
2007
Solutions to some nonlinear parabolic equations in pseudomeasure spaces. Zbl 1110.35024
Miao, Changxing; Yuan, Baoquan
2007
Strong solutions to the nonlinear heat equation in homogeneous Besov spaces. Zbl 1124.35029
Miao, Changxing; Yuan, Baoquan; Zhang, Bo
2007
The Cauchy problems and global solutions to the Deybe system and Burgers’ equations in pseudomeasure spaces. Zbl 1119.35080
Yuan, Bao Quan
2007
The Cauchy problem for the magneto-hydrodynamic system. Zbl 1104.76085
Cannone, Marco; Miao, Changxing; Prioux, Nicolas; Yuan, Baoquan
2006
Well-posedness of the ideal MHD system in critical Besov spaces. Zbl 1202.35173
Miao, Changxing; Yuan, Baoquan
2006
On the blow-up criterion of smooth solutions to the MHD system in BMO space. Zbl 1099.76076
Yuan, Baoquan
2006
Blow up criterion of smooth solutions to the MHD equations in Besov spaces. Zbl 1081.35091
Yuan, Baoquan
2005
Refinements of Carleman’s inequality. Zbl 0993.26008
Yuan, Baoquan
2001
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#### Cited by 341 Authors

 26 Yuan, Baoquan 18 Wu, Jiahong 17 Yamazaki, Kazuo 14 Ye, Zhuan 10 Liu, Qiao 10 Xu, Xiaojing 9 Wang, Yinxia 9 Zhao, Jihong 8 Dong, Boqing 8 Zhai, Xiaoping 7 Gala, Sadek 7 Li, Yongsheng 7 Shang, Haifeng 7 Wang, Yuzhu 7 Wu, Gang 7 Zhai, Zhichun 6 Ferreira, Lucas Catão de Freitas 6 Miao, Changxing 6 Xiao, Jie 6 Yan, Wei 6 Zhang, Zujin 5 Li, Pengtao 5 Li, Shan 5 Zhu, Mingxuan 4 Cui, Shangbin 4 Ding, Yong 4 Jia, Yan 4 Jiu, Quansen 4 Melo, Wilberclay G. 4 Tang, Yanbin 4 Wen, Zhihong 4 Yang, Qixiang 4 Ye, Zhuan 4 Zheng, Xiaoxin 3 Baaske, Franka 3 Bian, Dongfen 3 Chen, Jiecheng 3 Fan, Dashan 3 Guo, Boling 3 Guterres, Robert H. 3 Ho, Kwok-Pun 3 Li, Jingna 3 Lin, Hongxia 3 Ma, Liangliang 3 Nunes, Juliana R. 3 Perusato, Cilon F. 3 Qiu, Hua 3 Ragusa, Maria Alessandra 3 Wang, Keyan 3 Wang, Yanqing 3 Xiang, Zhaoyin 3 Yu, Yanghai 3 Yuan, Jia 3 Zhang, Bo 3 Zhao, Jiefeng 3 Zhou, Yi 2 Agelas, Leo 2 Bai, Linna 2 Chen, Qionglei 2 Dai, Mimi 2 Darwich, Mohamad 2 Deng, Qingquan 2 Fan, Jishan 2 Fang, Daoyuan 2 Gu, Chuanwei 2 Guo, Congchong 2 He, Yinnian 2 Ji, Ruihong 2 Jia, Junxiong 2 Jiang, Zaihong 2 Kc, Durga Jang 2 Kraußhar, Rolf Sören 2 Lai, Baishun 2 Li, Chaoying 2 Li, Fucai 2 Li, Xiao 2 Liu, Yujun 2 Mu, Yanmin 2 Peng, Jigen 2 Pérez-López, Jhean E. 2 Qiao, Yuanyuan 2 Schmeisser, Hans-Jürgen 2 Shi, Shaoguang 2 Si, Xin 2 Sun, Chengfeng 2 Sun, Xiaochun 2 Tan, Jin 2 Wang, Dehua 2 Wang, Gang 2 Wang, Yanan 2 Wang, Yun 2 Wang, Yuzhao 2 Xin, Jie 2 Xu, Fuyi 2 Yang, Minghua 2 Yao, Xiaohua 2 Yao, Zhengan 2 Ye, Hailong 2 Ye, Xia 2 Yu, Huan ...and 241 more Authors
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#### Cited in 92 Serials

 34 Journal of Mathematical Analysis and Applications 26 Journal of Differential Equations 20 Mathematical Methods in the Applied Sciences 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Computers & Mathematics with Applications 12 Applied Mathematics Letters 12 Nonlinear Analysis. Real World Applications 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Journal of Mathematical Physics 9 Acta Applicandae Mathematicae 9 Journal of Mathematical Fluid Mechanics 8 Applied Mathematics and Computation 7 Boundary Value Problems 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Discrete and Continuous Dynamical Systems 5 Acta Mathematica Sinica. English Series 5 Communications on Pure and Applied Analysis 5 Kinetic and Related Models 4 Applicable Analysis 4 Journal of Functional Analysis 4 Acta Mathematicae Applicatae Sinica. English Series 4 Abstract and Applied Analysis 4 Journal of Evolution Equations 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Science China. Mathematics 3 Nonlinearity 3 Advances in Mathematics 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Optimization 2 Bulletin of the Korean Mathematical Society 2 Stochastic Analysis and Applications 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 2 Discrete Dynamics in Nature and Society 2 Communications in Contemporary Mathematics 2 Advances in Nonlinear Analysis 2 Journal of Elliptic and Parabolic Equations 1 Journal of Computational Physics 1 Reviews in Mathematical Physics 1 Annales Polonici Mathematici 1 Colloquium Mathematicum 1 Integral Equations and Operator Theory 1 Journal of Optimization Theory and Applications 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Forum Mathematicum 1 Machine Learning 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Nonlinear Science 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Georgian Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Random Operators and Stochastic Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Mathematical Problems in Engineering 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 Revista Matemática Complutense 1 Communications in Nonlinear Science and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 International Journal of Computational Methods 1 Fixed Point Theory and Applications 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Asian-European Journal of Mathematics 1 East Asian Mathematical Journal 1 Advances in Numerical Analysis 1 Analysis and Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Evolution Equations and Control Theory 1 Nonautonomous Dynamical Systems 1 Electronic Research Archive
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#### Cited in 27 Fields

 306 Partial differential equations (35-XX) 252 Fluid mechanics (76-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 18 Real functions (26-XX) 18 Geophysics (86-XX) 16 Functional analysis (46-XX) 8 Probability theory and stochastic processes (60-XX) 7 Potential theory (31-XX) 7 Operator theory (47-XX) 7 Biology and other natural sciences (92-XX) 6 Functions of a complex variable (30-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)