Edit Profile (opens in new tab) Yu, Xinwei Co-Author Distance Author ID: yu.xinwei Published as: Yu, Xinwei; Yu, X. Homepage: https://www.math.ualberta.ca/~xinweiyu/ External Links: MGP · Google Scholar · ResearchGate · dblp Documents Indexed: 32 Publications since 2003, including 3 Additional arXiv Preprints Co-Authors: 17 Co-Authors with 29 Joint Publications 715 Co-Co-Authors all top 5 Co-Authors 2 single-authored 11 Tran, Chuong V. 7 Hou, Thomas Yizhao 6 Deng, Jian 6 Zhai, Zhichun 3 Pineau, Benjamin 2 Li, Dong 1 Blackbourn, Luke A. K. 1 Dritschel, David Gerard 1 George, Robert Joseph 1 Hajaiej, Hichem 1 Li, Congming 1 Li, Ruo 1 Li, Zhiping 1 Niksirat, Mohammad Ali 1 Perez-Lona, Alonso 1 Robbins, Daniel G. 1 Sharpe, Eric R. 1 Shi, Zuoqiang 1 Vandermeulen, Thomas 1 Wang, Shu 1 Ying, Lungan all top 5 Serials 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Archive for Rational Mechanics and Analysis 2 Journal of Fluid Mechanics 2 Applied Mathematics Letters 2 Communications in Partial Differential Equations 2 Methods and Applications of Analysis 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Journal of Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Communications on Pure and Applied Analysis all top 5 Fields 23 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 368 times in 304 Documents Cited by ▼ Year ▼ On global regularity of 2D generalized magnetohydrodynamic equations. Zbl 1283.35094 Tran, Chuong V.; Yu, Xinwei; Zhai, Zhichun 77 2013 Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms. Zbl 1254.26010 Hajaiej, Hichem; Yu, Xinwei; Zhai, Zhichun 52 2012 Geometric properties and nonblowup of 3D incompressible Euler flow. Zbl 1142.35549 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 49 2005 Improved geometric conditions for non-blowup of the 3D incompressible Euler equation. Zbl 1158.76305 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 33 2006 Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation. Zbl 1278.35203 Tran, Chuong V.; Yu, Xinwei; Zhai, Zhichun 27 2013 Well-posedness for fractional Navier-Stokes equations in the largest critical spaces \(\dot B_{\infty ,\infty}^{ -(2\beta - 1)} (\mathbb R^n)\). Zbl 1236.35115 Yu, Xinwei; Zhai, Zhichun 16 2012 Remarks on the global regularity for the super-critical 2D dissipative quasi-geostrophic equation. Zbl 1128.35006 Yu, Xinwei 14 2008 Level set dynamics and the non-blowup of the 2D quasi-geostrophic equation. Zbl 1173.76006 Deng, J.; Hou, T. Y.; Li, R.; Yu, X. 13 2006 On the Euler-Poincaré equation with non-zero dispersion. Zbl 1452.35153 Li, Dong; Yu, Xinwei; Zhai, Zhichun 11 2013 A note on the energy conservation of the ideal MHD equations. Zbl 1159.76057 Yu, Xinwei 9 2009 On singularity formation of a nonlinear nonlocal system. Zbl 1241.35038 Hou, Thomas Y.; Li, Congming; Shi, Zuoqiang; Wang, Shu; Yu, Xinwei 8 2011 Pressure moderation and effective pressure in Navier-Stokes flows. Zbl 1349.76046 Tran, Chuong V.; Yu, Xinwei 8 2016 On some Liouville type theorems for the compressible Navier-Stokes. Zbl 1304.35560 Li, Dong; Yu, Xinwei 7 2014 Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations. Zbl 1355.76017 Tran, Chuong V.; Yu, Xinwei 7 2017 On stationary solutions of the 2D Doi-Onsager model. Zbl 1353.82056 Niksirat, Mohammad Ali; Yu, Xinwei 5 2015 A level set formulation for the 3D incompressible Euler equations. Zbl 1107.76011 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 4 2005 Depletion of nonlinearity in the pressure force driving Navier-Stokes flows. Zbl 1312.76013 Tran, Chuong V.; Yu, Xinwei 4 2015 On Prodi-Serrin type conditions for the 3D Navier-Stokes equations. Zbl 1433.35240 Pineau, Benjamin; Yu, Xinwei 4 2020 On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion. Zbl 1322.35111 Yu, Xinwei; Zhai, Zhichun 4 2012 Two-dimensional magnetohydrodynamic turbulence in the limits of infinite and vanishing magnetic Prandtl number. Zbl 1287.76241 Tran, Chuong V.; Yu, Xinwei; Blackbourn, Luke A. K. 4 2013 Logarithmic improvement of regularity criteria for the Navier-Stokes equations in terms of pressure. Zbl 1342.35228 Tran, Chuong V.; Yu, Xinwei 3 2016 Regularity of Navier-Stokes flows with bounds for the pressure. Zbl 1360.35151 Tran, Chuong V.; Yu, Xinwei 3 2017 A new Prodi-Serrin type regularity criterion in velocity directions. Zbl 1419.35153 Pineau, Benjamin; Yu, Xinwei 3 2018 Velocity-pressure correlation in Navier-Stokes flows and the problem of global regularity. Zbl 1461.76107 Tran, Chuong V.; Yu, Xinwei; Dritschel, David G. 2 2021 Regularity of Navier-Stokes flows with bounds for the velocity gradient along streamlines and an effective pressure. Zbl 1408.35130 Tran, Chuong V.; Yu, Xinwei 1 2018 Velocity-pressure correlation in Navier-Stokes flows and the problem of global regularity. Zbl 1461.76107 Tran, Chuong V.; Yu, Xinwei; Dritschel, David G. 2 2021 On Prodi-Serrin type conditions for the 3D Navier-Stokes equations. Zbl 1433.35240 Pineau, Benjamin; Yu, Xinwei 4 2020 A new Prodi-Serrin type regularity criterion in velocity directions. Zbl 1419.35153 Pineau, Benjamin; Yu, Xinwei 3 2018 Regularity of Navier-Stokes flows with bounds for the velocity gradient along streamlines and an effective pressure. Zbl 1408.35130 Tran, Chuong V.; Yu, Xinwei 1 2018 Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations. Zbl 1355.76017 Tran, Chuong V.; Yu, Xinwei 7 2017 Regularity of Navier-Stokes flows with bounds for the pressure. Zbl 1360.35151 Tran, Chuong V.; Yu, Xinwei 3 2017 Pressure moderation and effective pressure in Navier-Stokes flows. Zbl 1349.76046 Tran, Chuong V.; Yu, Xinwei 8 2016 Logarithmic improvement of regularity criteria for the Navier-Stokes equations in terms of pressure. Zbl 1342.35228 Tran, Chuong V.; Yu, Xinwei 3 2016 On stationary solutions of the 2D Doi-Onsager model. Zbl 1353.82056 Niksirat, Mohammad Ali; Yu, Xinwei 5 2015 Depletion of nonlinearity in the pressure force driving Navier-Stokes flows. Zbl 1312.76013 Tran, Chuong V.; Yu, Xinwei 4 2015 On some Liouville type theorems for the compressible Navier-Stokes. Zbl 1304.35560 Li, Dong; Yu, Xinwei 7 2014 On global regularity of 2D generalized magnetohydrodynamic equations. Zbl 1283.35094 Tran, Chuong V.; Yu, Xinwei; Zhai, Zhichun 77 2013 Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation. Zbl 1278.35203 Tran, Chuong V.; Yu, Xinwei; Zhai, Zhichun 27 2013 On the Euler-Poincaré equation with non-zero dispersion. Zbl 1452.35153 Li, Dong; Yu, Xinwei; Zhai, Zhichun 11 2013 Two-dimensional magnetohydrodynamic turbulence in the limits of infinite and vanishing magnetic Prandtl number. Zbl 1287.76241 Tran, Chuong V.; Yu, Xinwei; Blackbourn, Luke A. K. 4 2013 Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms. Zbl 1254.26010 Hajaiej, Hichem; Yu, Xinwei; Zhai, Zhichun 52 2012 Well-posedness for fractional Navier-Stokes equations in the largest critical spaces \(\dot B_{\infty ,\infty}^{ -(2\beta - 1)} (\mathbb R^n)\). Zbl 1236.35115 Yu, Xinwei; Zhai, Zhichun 16 2012 On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion. Zbl 1322.35111 Yu, Xinwei; Zhai, Zhichun 4 2012 On singularity formation of a nonlinear nonlocal system. Zbl 1241.35038 Hou, Thomas Y.; Li, Congming; Shi, Zuoqiang; Wang, Shu; Yu, Xinwei 8 2011 A note on the energy conservation of the ideal MHD equations. Zbl 1159.76057 Yu, Xinwei 9 2009 Remarks on the global regularity for the super-critical 2D dissipative quasi-geostrophic equation. Zbl 1128.35006 Yu, Xinwei 14 2008 Improved geometric conditions for non-blowup of the 3D incompressible Euler equation. Zbl 1158.76305 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 33 2006 Level set dynamics and the non-blowup of the 2D quasi-geostrophic equation. Zbl 1173.76006 Deng, J.; Hou, T. Y.; Li, R.; Yu, X. 13 2006 Geometric properties and nonblowup of 3D incompressible Euler flow. Zbl 1142.35549 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 49 2005 A level set formulation for the 3D incompressible Euler equations. Zbl 1107.76011 Deng, Jian; Hou, Thomas Y.; Yu, Xinwei 4 2005 all cited Publications top 5 cited Publications all top 5 Cited by 361 Authors 17 Chae, Dongho 17 Hou, Thomas Yizhao 15 Yamazaki, Kazuo 14 Wu, Jiahong 11 Yu, Xinwei 8 Tran, Chuong V. 8 Xu, Xiaojing 7 Ye, Zhuan 7 Zhou, Yong 6 Constantin, Peter 6 Shang, Haifeng 6 Wang, Shu 6 Wang, Yanqing 6 Zhai, Zhichun 6 Zhu, Mingxuan 5 Jiang, Zaihong 5 Yuan, Baoquan 5 Zhao, Jiefeng 4 Fan, Jishan 4 Jiu, Quansen 4 Li, Pengtao 4 Wolf, Jörg 4 Ye, Yulin 4 Yu, Huan 3 Agelas, Leo 3 Bustamante, Miguel D. 3 Cordoba, Diego 3 Dai, Mimi 3 Elgindi, Tarek Mohamed 3 Huang, De 3 Kerr, Robert M. 3 Kim, Jaemyoung 3 Lei, Zhen 3 Li, Jinlu 3 Li, Ruo 3 Luo, Guo 3 Nakamura, Gen 3 Protas, Bartosz 3 Schneider, Kai 3 Sugiyama, Yuusuke 3 Vougalter, Vitali 3 Wei, Wei 3 Wei, Zhongli 3 Wu, Fan 3 Xu, Jiafa 3 Yamamoto, Masakazu 3 Zhang, Zujin 2 Al-saedi, Ahmed Eid Salem 2 Badin, Gualtiero 2 Bie, Qunyi 2 Cai, Wenjun 2 Castro, Ángel 2 Chen, Haibo 2 Chen, Jiecheng 2 Conti, Giovanni 2 Cui, Yujun 2 Deng, Xuemei 2 Dong, Boqing 2 Dong, Wei 2 Faraco, Daniel 2 Gibbon, John D. 2 Gómez-Serrano, Javier 2 Guo, Yana 2 Hajaiej, Hichem 2 Hayat, Tasawar 2 He, Jiawei 2 Hu, Dongdong 2 Hu, Rui 2 Khai, D. Q. 2 Kiselev, Alexander A. 2 Li, Dong 2 Li, Jingna 2 Li, Linrui 2 Li, Min 2 Li, Zhouyu 2 Lindberg, Sauli 2 Liu, Pan 2 Ma, Caochuan 2 Nave, Jean-Christophe 2 Nguyễn Minh Trí 2 Niksirat, Mohammad Ali 2 Niu, Pengcheng 2 Ohkitani, Koji 2 Peng, Li 2 Pineau, Benjamin 2 Qiao, Yuanyuan 2 Railo, Jesse 2 Razafimandimby, Paul André 2 Székelyhidi, László jun. 2 Tarfulea, Andrei 2 Vicol, Vlad C. 2 Volpert, Vitaly A. 2 Wang, Yanan 2 Wang, Yushun 2 Wang, Yuzhao 2 Wen, Zhihong 2 Willie, Robert 2 Wu, Jihui 2 Wu, Yonghong 2 Xiao, Jie ...and 261 more Authors all top 5 Cited in 107 Serials 21 Journal of Mathematical Analysis and Applications 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal of Mathematical Fluid Mechanics 13 Journal of Differential Equations 12 Archive for Rational Mechanics and Analysis 12 Applied Mathematics Letters 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Communications in Mathematical Physics 8 Mathematical Methods in the Applied Sciences 8 Physica D 8 Journal of Nonlinear Science 7 Journal of Fluid Mechanics 6 Journal of Mathematical Physics 6 Nonlinear Analysis. Real World Applications 5 Computers & Mathematics with Applications 5 Journal of Functional Analysis 5 Monatshefte für Mathematik 5 Discrete and Continuous Dynamical Systems 4 Journal of Computational Physics 4 Communications in Partial Differential Equations 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Nonlinearity 3 Advances in Mathematics 3 Proceedings of the American Mathematical Society 3 Physics of Fluids 3 Annals of PDE 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 SIAM Journal on Mathematical Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Calculus of Variations and Partial Differential Equations 2 Abstract and Applied Analysis 2 Journal of Evolution Equations 2 Foundations of Computational Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Multiscale Modeling & Simulation 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis & PDE 2 Advances in Mathematical Physics 2 Advances in Nonlinear Analysis 2 Journal of Function Spaces 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Acta Mathematica 1 Archiv der Mathematik 1 BIT 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Journal of Integral Equations and Applications 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 SIAM Review 1 Stochastic Processes and their Applications 1 Expositiones Mathematicae 1 New Zealand Journal of Mathematics 1 Potential Analysis 1 Applied and Computational Harmonic Analysis 1 Applicationes Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 Mathematical Physics, Analysis and Geometry 1 Mathematical Inequalities & Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 Annals of Mathematics. Second Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Journal of Function Spaces and Applications 1 Acta Numerica 1 Complex Variables and Elliptic Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Frontiers of Mathematics in China 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Pure and Applied Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Stochastic and Partial Differential Equations. Analysis and Computations ...and 7 more Serials all top 5 Cited in 29 Fields 274 Partial differential equations (35-XX) 216 Fluid mechanics (76-XX) 25 Real functions (26-XX) 24 Numerical analysis (65-XX) 19 Geophysics (86-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Functional analysis (46-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 4 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year