# zbMATH — the first resource for mathematics

## Yu, Xinwei

Compute Distance To:
 Author ID: yu.xinwei Published as: Yu, X.; Yu, Xinwei Homepage: https://www.math.ualberta.ca/~xinweiyu/ External Links: MGP · ResearchGate · dblp
 Documents Indexed: 28 Publications since 2003
all top 5

#### Co-Authors

 2 single-authored 10 Tran, Chuong V. 7 Hou, Thomas Yizhao 6 Deng, Jian 6 Zhai, Zhichun 2 Li, Dong 2 Pineau, Benjamin 1 Blackbourn, Luke A. K. 1 Dritschel, David Gerard 1 Hajaiej, Hichem 1 Li, Congming 1 Li, Ruo 1 Li, Zhiping 1 Niksirat, Mohammad Ali 1 Shi, Zuoqiang 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 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

 22 Partial differential equations (35-XX) 22 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)

#### Citations contained in zbMATH Open

24 Publications have been cited 286 times in 231 Documents Cited by Year
On global regularity of 2D generalized magnetohydrodynamic equations. Zbl 1283.35094
Tran, Chuong V.; Yu, Xinwei; Zhai, Zhichun
2013
Geometric properties and nonblowup of 3D incompressible Euler flow. Zbl 1142.35549
Deng, Jian; Hou, Thomas Y.; Yu, Xinwei
2005
Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms. Zbl 1254.26010
Hajaiej, Hichem; Yu, Xinwei; Zhai, Zhichun
2012
Improved geometric conditions for non-blowup of the 3D incompressible Euler equation. Zbl 1158.76305
Deng, Jian; Hou, Thomas Y.; Yu, Xinwei
2006
Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation. Zbl 1278.35203
Tran, Chuong V.; Yu, Xinwei; Zhai, Zhichun
2013
Remarks on the global regularity for the super-critical 2D dissipative quasi-geostrophic equation. Zbl 1128.35006
Yu, Xinwei
2008
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
2012
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.
2006
On singularity formation of a nonlinear nonlocal system. Zbl 1241.35038
Hou, Thomas Y.; Li, Congming; Shi, Zuoqiang; Wang, Shu; Yu, Xinwei
2011
Pressure moderation and effective pressure in Navier-Stokes flows. Zbl 1349.76046
Tran, Chuong V.; Yu, Xinwei
2016
Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations. Zbl 1355.76017
Tran, Chuong V.; Yu, Xinwei
2017
On stationary solutions of the 2D Doi-Onsager model. Zbl 1353.82056
Niksirat, Mohammad Ali; Yu, Xinwei
2015
On the Euler-Poincaré equation with non-zero dispersion. Zbl 1452.35153
Li, Dong; Yu, Xinwei; Zhai, Zhichun
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.
2013
Regularity of Navier-Stokes flows with bounds for the pressure. Zbl 1360.35151
Tran, Chuong V.; Yu, Xinwei
2017
On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion. Zbl 1322.35111
Yu, Xinwei; Zhai, Zhichun
2012
A note on the energy conservation of the ideal MHD equations. Zbl 1159.76057
Yu, Xinwei
2009
A new Prodi-Serrin type regularity criterion in velocity directions. Zbl 1419.35153
Pineau, Benjamin; Yu, Xinwei
2018
Logarithmic improvement of regularity criteria for the Navier-Stokes equations in terms of pressure. Zbl 1342.35228
Tran, Chuong V.; Yu, Xinwei
2016
Depletion of nonlinearity in the pressure force driving Navier-Stokes flows. Zbl 1312.76013
Tran, Chuong V.; Yu, Xinwei
2015
A level set formulation for the 3D incompressible Euler equations. Zbl 1107.76011
Deng, Jian; Hou, Thomas Y.; Yu, Xinwei
2005
On Prodi-Serrin type conditions for the 3D Navier-Stokes equations. Zbl 1433.35240
Pineau, Benjamin; Yu, Xinwei
2020
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
2018
On some Liouville type theorems for the compressible Navier-Stokes. Zbl 1304.35560
Li, Dong; Yu, Xinwei
2014
On Prodi-Serrin type conditions for the 3D Navier-Stokes equations. Zbl 1433.35240
Pineau, Benjamin; Yu, Xinwei
2020
A new Prodi-Serrin type regularity criterion in velocity directions. Zbl 1419.35153
Pineau, Benjamin; Yu, Xinwei
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
2018
Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations. Zbl 1355.76017
Tran, Chuong V.; Yu, Xinwei
2017
Regularity of Navier-Stokes flows with bounds for the pressure. Zbl 1360.35151
Tran, Chuong V.; Yu, Xinwei
2017
Pressure moderation and effective pressure in Navier-Stokes flows. Zbl 1349.76046
Tran, Chuong V.; Yu, Xinwei
2016
Logarithmic improvement of regularity criteria for the Navier-Stokes equations in terms of pressure. Zbl 1342.35228
Tran, Chuong V.; Yu, Xinwei
2016
On stationary solutions of the 2D Doi-Onsager model. Zbl 1353.82056
Niksirat, Mohammad Ali; Yu, Xinwei
2015
Depletion of nonlinearity in the pressure force driving Navier-Stokes flows. Zbl 1312.76013
Tran, Chuong V.; Yu, Xinwei
2015
On some Liouville type theorems for the compressible Navier-Stokes. Zbl 1304.35560
Li, Dong; Yu, Xinwei
2014
On global regularity of 2D generalized magnetohydrodynamic equations. Zbl 1283.35094
Tran, Chuong V.; Yu, Xinwei; Zhai, Zhichun
2013
Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation. Zbl 1278.35203
Tran, Chuong V.; Yu, Xinwei; Zhai, Zhichun
2013
On the Euler-Poincaré equation with non-zero dispersion. Zbl 1452.35153
Li, Dong; Yu, Xinwei; Zhai, Zhichun
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.
2013
Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms. Zbl 1254.26010
Hajaiej, Hichem; Yu, Xinwei; Zhai, Zhichun
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
2012
On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion. Zbl 1322.35111
Yu, Xinwei; Zhai, Zhichun
2012
On singularity formation of a nonlinear nonlocal system. Zbl 1241.35038
Hou, Thomas Y.; Li, Congming; Shi, Zuoqiang; Wang, Shu; Yu, Xinwei
2011
A note on the energy conservation of the ideal MHD equations. Zbl 1159.76057
Yu, Xinwei
2009
Remarks on the global regularity for the super-critical 2D dissipative quasi-geostrophic equation. Zbl 1128.35006
Yu, Xinwei
2008
Improved geometric conditions for non-blowup of the 3D incompressible Euler equation. Zbl 1158.76305
Deng, Jian; Hou, Thomas Y.; Yu, Xinwei
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.
2006
Geometric properties and nonblowup of 3D incompressible Euler flow. Zbl 1142.35549
Deng, Jian; Hou, Thomas Y.; Yu, Xinwei
2005
A level set formulation for the 3D incompressible Euler equations. Zbl 1107.76011
Deng, Jian; Hou, Thomas Y.; Yu, Xinwei
2005
all top 5

#### Cited by 276 Authors

 15 Chae, Dongho 15 Yamazaki, Kazuo 13 Wu, Jiahong 12 Yu, Xinwei 11 Hou, Thomas Yizhao 11 Ye, Zhuan 8 Xu, Xiaojing 7 Constantin, Peter 7 Tran, Chuong V. 6 Wang, Shu 6 Zhou, Yong 6 Zhu, Mingxuan 5 Jiang, Zaihong 5 Shang, Haifeng 5 Yuan, Baoquan 4 Fan, Jishan 4 Jiu, Quansen 4 Zhao, Jiefeng 3 Agelas, Leo 3 Bustamante, Miguel D. 3 Cordoba, Diego 3 Kerr, Robert M. 3 Lei, Zhen 3 Luo, Guo 3 Nakamura, Gen 3 Sugiyama, Yuusuke 3 Vougalter, Vitali 3 Wei, Zhongli 3 Wolf, Jörg 3 Xu, Jiafa 3 Yamamoto, Masakazu 3 Zhai, Zhichun 2 Al-saedi, Ahmed Eid Salem 2 Castro, Ángel 2 Cui, Yujun 2 Dong, Boqing 2 Dong, Wei 2 Elgindi, Tarek Mohamed 2 Gibbon, John D. 2 Gómez-Serrano, Javier 2 Guo, Yana 2 Hajaiej, Hichem 2 Hayat, Tasawar 2 Khai, Dao Quang 2 Kiselev, Alexander A. 2 Li, Jingna 2 Li, Jinlu 2 Li, Linrui 2 Li, Ruo 2 Liu, Qiao 2 Ma, Caochuan 2 Niksirat, Mohammad Ali 2 Ohkitani, Koji 2 Pineau, Benjamin 2 Qiao, Yuanyuan 2 Razafimandimby, Paul André 2 Tarfulea, Andrei 2 Tri, Nguyen Minh 2 Vicol, Vlad C. 2 Volpert, Vitaly A. 2 Wang, Yanan 2 Wang, Yuzhao 2 Wen, Zhihong 2 Willie, Robert 2 Wu, Jihui 2 Wu, Yonghong 2 Xiao, Jie 2 Xiao, Weiliang 2 Xue, Liutang 2 Ye, Zhuan 2 Yin, Zhaoyang 2 Yu, Huan 2 Zhang, Zujin 2 Zhou, Xuhuan 1 Agafontsev, D. S. 1 Badin, Gualtiero 1 Bai, Linna 1 Bendoukha, Berrabah 1 Berselli, Luigi Carlo 1 Bie, Qunyi 1 Blackbourn, Luke A. K. 1 Brenner, Michael P. 1 Caflisch, Russell E. 1 Cao, Lu 1 Carrillo de la Plata, José Antonio 1 Chen, Jiecheng 1 Chen, Shengtao 1 Chen, Thomas M. 1 Cheskidov, Alexey 1 Chi, Meiling 1 Choi, Kyudong 1 Conti, Giovanni 1 Dai, Li 1 Dai, Mimi 1 de Nápoli, Pablo Luis 1 Deiterding, Ralf 1 Deng, Jian 1 Deng, Lihua 1 Dong, Hongjie 1 Doungmo Goufo, Emile Franc ...and 176 more Authors
all top 5

#### Cited in 79 Serials

 19 Journal of Mathematical Analysis and Applications 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Archive for Rational Mechanics and Analysis 12 Applied Mathematics Letters 11 Journal of Differential Equations 11 Journal of Mathematical Fluid Mechanics 9 Communications in Mathematical Physics 8 Physica D 7 Journal of Fluid Mechanics 6 Computers & Mathematics with Applications 5 Journal of Mathematical Physics 5 Mathematical Methods in the Applied Sciences 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Nonlinear Science 4 Journal of Functional Analysis 4 Communications in Partial Differential Equations 4 Nonlinear Analysis. Real World Applications 3 Nonlinearity 3 Advances in Mathematics 3 Monatshefte für Mathematik 3 Physics of Fluids 3 Discrete and Continuous Dynamical Systems 2 Applicable Analysis 2 Journal of Computational Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 SIAM Journal on Mathematical Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Abstract and Applied Analysis 2 Journal of Evolution Equations 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Function Spaces 2 Annals of PDE 1 Communications on Pure and Applied Mathematics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 BIT 1 Memoirs of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 IMRN. International Mathematics Research Notices 1 Numerical Algorithms 1 SIAM Review 1 Stochastic Processes and their Applications 1 Expositiones Mathematicae 1 New Zealand Journal of Mathematics 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Problems in Engineering 1 Mathematical Physics, Analysis and Geometry 1 Mathematical Inequalities & Applications 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Analysis and Applications (Singapore) 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 Analysis & PDE 1 Advances in Mathematical Physics 1 Advances in Pure and Applied Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Journal of Applied Analysis and Computation 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Advances in Nonlinear Analysis 1 Complex Analysis and its Synergies 1 Open Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition)
all top 5

#### Cited in 27 Fields

 211 Partial differential equations (35-XX) 163 Fluid mechanics (76-XX) 18 Geophysics (86-XX) 16 Real functions (26-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 11 Numerical analysis (65-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-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)