Zhen Lei

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All published works

Action	Title	Year	Authors
+ PDF Chat	A geometric characterization of potential Navier-Stokes singularities	2025	Zhen Lei Xiao Ren Gang Tian
+ PDF Chat	Global current-vortex sheets in the two-dimensional ideal incompressible MHD	2024	Yuan Cai Zhen Lei
+	Backward Uniqueness for 3D Navier–Stokes Equations With Non-Trivial Final Data and Applications	2024	Zhen Lei Zhaojie Yang Cheng Yuan
+	Radiation of the energy-critical wave equation with compact support	2024	Zhen Lei Xiao Ren Zhaojie Yang
+ PDF Chat	Sharp Asymptotic Stability of Blasius Profile in the Steady Prandtl Equation	2024	Hao Jia Zhen Lei Cheng Yuan
+	Asymptotic optimality of the nonnegative garrote estimator in threshold models	2024	Zhen Lei Xiuping Chen Guanghui Cai Yan Gao
+ PDF Chat	Quantitative partial regularity of the Navier-Stokes equations and applications	2024	Zhen Lei Xiao Ren
+	Non-relativistic limit for the cubic nonlinear Klein-Gordon equations	2023	Zhen Lei Yifei Wu
+	Backward Uniqueness for 3D Navier-Stokes Equations with Non-trivial Final Data and Applications	2023	Zhen Lei Zhaojie Yang Cheng Yuan
+	Revisit of the Faddeev Model in Dimension Two	2022	Shijie Dong Zhen Lei
+	Local Well-Posedness of Free-Boundary Incompressible Elastodynamics with Surface Tension via Vanishing Viscosity Limit	2022	Xumin Gu Zhen Lei
+	The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded	2022	Shijie Dong Philippe G. LeFloch Zhen Lei
+ PDF Chat	Liouville type theorems for axially symmetric Navier-Stokes equations	2021	Zhen Lei Xiao Ren Qi S. Zhang
+ PDF Chat	A Liouville theorem for Axi-symmetric Navier–Stokes equations on $${\mathbb {R}}^2 \times {\mathbb {T}}^1$$	2021	Zhen Lei Xiao Ren Qi S. Zhang
+	Local Well-posedness of the Free Boundary Incompressible Elastodynamics with Surface Tension	2020	Xumin Gu Zhen Lei
+ PDF Chat	On the Constantin–Lax–Majda Model with Convection	2019	Zhen Lei Jie Liu Xiao Ren
+ PDF Chat	Vanishing Viscosity Limit for Incompressible Viscoelasticity in Two Dimensions	2019	Yuan Cai Zhen Lei Fanghua Lin Nader Masmoudi
+ PDF Chat	On scaling invariance and type-I singularities for the compressible Navier-Stokes equations	2019	Zhen Lei Zhouping Xin
+	On ancient periodic solutions to Axially-Symmetric Navier-Stokes Equations	2019	Zhen Lei Xiao Ren Qi S Zhang
+	A Liouville Theorem for Axi-symmetric Navier-Stokes Equations on $\mathbb{R}^2 \times \mathbb{T}^1$	2019	Zhen Lei Xiao Ren Qi S. Zhang
+ PDF Chat	Sharp One Component Regularity for Navier–Stokes	2018	Bin Han Zhen Lei Dong Li Na Zhao
+ PDF Chat	Global Well-Posedness of the Incompressible Magnetohydrodynamics	2018	Yuan Cai Zhen Lei
+	Extension Problems Related to the Higher Order Fractional Laplacian	2017	Yu Kang Chen Zhen Lei Chang Wei
+	Global well-posedness for 2D nonlinear wave equations without compact support	2017	Yuan Cai Zhen Lei Nader Masmoudi
+ PDF Chat	Global well-posedness for systems of elasticity	2017	Zhen Lei Keyan Wang
+ PDF Chat	Criticality of the axially symmetric Navier–Stokes equations	2017	Zhen Lei Qi Zhang
+ PDF Chat	Improved Liouville theorems for axially symmetric Navier-Stokes equations	2017	Na Zhao Zhen Lei ZHANG Qi
+	On Scaling Invariance and Type-I Singularities for the Compressible Navier-Stokes Equations	2017	Zhen Lei Zhouping Xin
+	Improved Liouville theorems for axially symmetric Navier-Stokes equations	2017	Zhen Lei Qi S Zhang Na Zhao
+ PDF Chat	On the Two‐Dimensional Muskat Problem with Monotone Large Initial Data	2016	Fan Deng Zhen Lei Fanghua Lin
+ PDF Chat	Global Well‐Posedness of Incompressible Elastodynamics in Two Dimensions	2016	Zhen Lei
+	On the 2D Muskat Problem with Monotone Large Initial Data	2016	Fan Deng Zhen Lei Fanghua Lin
+	Global radial solutions to 3D relativistic Euler equations for non-isentropic Chaplygin gases	2016	Zhen Lei Changhua Wei
+	Global Well-posedness of the Incompressible Magnetohydrodynamics	2016	Yuan Cai Zhen Lei
+	Infinite-time Exponential Growth of the Euler Equation on Two-dimensional Torus	2016	Zhen Lei Jia Shi
+	On the Two-Dimensional Muskat Problem with Monotone Large Initial Data	2016	Fan Deng Zhen Lei Fanghua Lin
+	Local well-posedness of the three dimensional compressible Euler–Poisson equations with physical vacuum	2015	Xumin Gu Zhen Lei
+ PDF Chat	A Priori Bound on the Velocity in Axially Symmetric Navier–Stokes Equations	2015	Zhen Lei Esteban A. Navas Qi S. Zhang
+ PDF Chat	Structure of Helicity and Global Solutions of Incompressible Navier–Stokes Equation	2015	Zhen Lei Fang-Hua Lin Yi Zhou
+	Almost Criticality of the Axi-Symmetric Navier-Stokes Equations	2015	Zhen Lei
+	On axially symmetric incompressible magnetohydrodynamics in three dimensions	2015	Zhen Lei
+	Almost global existence for 2-D incompressible isotropic elastodynamics	2015	Zhen Lei Thomas C. Sideris Yi Zhou
+	Global Regularity to the Navier-Stokes Equations for A Class of Large Initial Data	2015	Yukang Chen Bin Han Zhen Lei
+	Criticality of the Axially Symmetric Navier-Stokes Equations	2015	Zhen Lei Qi S. Zhang
+ PDF Chat	Uniform Bound of the Highest Energy for the Three Dimensional Incompressible Elastodynamics	2014	Zhen Lei Fan Wang
+ PDF Chat	Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions	2014	Zhen Lei Dong Li Xiaoyi Zhang
+	Global Well-posedness of Incompressible Elastodynamics in 2D	2014	Zhen Lei
+ PDF Chat	On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations	2014	Thomas Y. Hou Zhen Lei Guo Qing Luo Shu Wang Chen Zou
+	Local Well-posedness of the three dimensional compressible Euler--Poisson equations with physical vacuum	2014	Xumin Gu Zhen Lei
+	Global Well-posedness of Incompressible Elastodynamics in Two Dimensions	2014	Zhen Lei
+	Rotation-strain decomposition for the incompressible viscoelasticity in two dimensions	2013	Zhen Lei
+	Logarithmically improved criteria for Euler and Navier-Stokes equations	2013	Yi Zhou Zhen Lei
+	A priori bound on the velocity in axially symmetric Navier-Stokes equations	2013	Zhen Lei Esteban A. Navas Qi S. Zhang
+ PDF Chat	Singularities of solutions to compressible Euler equations with vacuum	2013	Yihong Du Zhen Lei Qingtian Zhang
+	A New Proof of Global Wellposedness of Liquid Crystals and Heat Harmonic Maps in Two Dimensions	2012	Zhen Lei Dong Li Xiaoyi Zhang
+	Global Wellposedness of Liquid Crystals and Heat Harmonic Maps in Two Dimensions	2012	Zhen Lei Dong Li Xiaoyi Zhang
+	Finite Time Blow-up of a 3D Model for Incompressible Euler Equations	2012	Thomas Y. Hou Zhen Lei
+	On a family of exact solutions to the incompressible liquid crystals in two dimensions	2012	Hongjie Dong Zhen Lei
+	Rotation-Strain Decomposition for the Incompressible Viscoelasticity in Two Dimensions	2012	Zhen Lei
+	Singularities of solutions to compressible Euler equations with vacuum	2012	Zhen Lei Yi Du Qingtian Zhang
+	Global solutions for micro-macro models of polymeric fluids	2012	Zhen Lei Yun Wang
+	Almost Global Existence for 2-D Incompressible Isotropic Elastodynamics	2012	Zhen Lei Thomas C. Sideris Yi Zhou
+	Global Mild Solutions of the Navier-Stokes Equations	2012	Zhen Lei Fanghua Lin
+	On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations	2012	Thomas Y. Hou Zhen Lei Guo Qing Luo Shu Wang Chen Zou
+	Global Solutions of Evolutionary Faddeev Model With Small Initial Data	2012	Zhen Lei Fanghua Lin Yi Zhou
+	Remarks of Global Wellposedness of Liquid Crystal Flows and Heat Flows of Harmonic Maps in Two Dimensions	2012	Zhen Lei Dong Li Xiao-Yi Zhang
+	On Axially Symmetric Incompressible Magnetohydrodynamics in Three Dimensions	2012	Zhen Lei
+ PDF Chat	Structure of solutions of 3D axisymmetric Navier–Stokes equations near maximal points	2011	Zhen Lei Qi Zhang
+	Well-posedness of 1-D compressible Euler–Poisson equations with physical vacuum	2011	Xumin Gu Zhen Lei
+	A Liouville theorem for the axially-symmetric Navier–Stokes equations	2011	Zhen Lei Qi S. Zhang
+ PDF Chat	Global mild solutions of Navier‐Stokes equations	2011	Zhen Lei Fang‐Hua Lin
+ PDF Chat	Global solutions for micro–macro models of polymeric fluids	2011	Zhen Lei Wang Yun
+ PDF Chat	Global solutions of the evolutionary Faddeev model with small initial data	2011	Zhen Lei Fang Lin Yi Zhou
+	Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum	2011	Xumin Gu Zhen Lei
+ PDF Chat	Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions	2010	Yongyong Cai Matthias Rosenkranz Zhen Lei Weizhu Bao
+ PDF Chat	On 2D Viscoelasticity with Small Strain	2010	Zhen Lei
+	New Conserved Quantities of the Incompressible Euler Equations	2010	Zhen Lei
+	Structure of Singularities of 3D Axi-symmetric Navier-Stokes Equations	2010	Zhen Lei Qi S. Zhang
+	A Liouville Theorem for the Axially-symmetric Navier-Stokes Equations	2010	Zhen Lei Qi S. Zhang
+	Global exact boundary controllability for cubic semi-linear wave equations and Klein-Gordon equations	2009	Yi Zhou Wei Xu Zhen Lei
+ PDF Chat	Remarks on the blowup criteria for Oldroyd models	2009	Zhen Lei Nader Masmoudi Yi Zhou
+	BKM's Criterion and Global Weak Solutions for Magnetohydrodynamics with Zero Viscosity	2009	Zhen Lei Yi Zhou
+	A Complete Global Solution to the Pressure Gradient Equation	2009	Zhen Lei Yuxi Zheng
+	Global Regularity of the 3D Axi-symmetric Navier-Stokes Equations with Anisotropic Data	2009	Thomas Y. Hou Zhen Lei Congming Li
+	Remarks on the Blowup Criteria for Oldroyd Models	2009	Zhen Lei Nader Masmoudi Yi Zhou
+ PDF Chat	BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity	2009	Zhen Lei Yi Zhou
+ PDF Chat	On the Partial Regularity of a 3D Model of the Navier-Stokes Equations	2008	Thomas Y. Hou Zhen Lei
+ PDF Chat	Global Regularity of the 3D Axi-Symmetric Navier–Stokes Equations with Anisotropic Data	2008	Thomas Y. Hou Zhen Lei Congming Li
+ PDF Chat	On the stabilizing effect of convection in three‐dimensional incompressible flows	2008	Zhen Lei Thomas Y. Hou
+	Logarithmically Improved Criteria for Euler and Navier-Stokes Equations	2008	Yi Zhou Zhen Lei
+ PDF Chat	Global low regularity solutions of quasi-linear wave equations	2008	Zhen Lei Yi Zhou
+	Logarithmically Improved Criteria for Navier-Stokes Equations	2008	Yi Zhou Zhen Lei
+ PDF Chat	Global Solutions for Incompressible Viscoelastic Fluids	2007	Zhen Lei Chun Liu Yi Zhou
+	A complete global solution to the pressure gradient equation	2007	Zhen Lei Yuxi Zheng
+	Local Exact Boundary Controllability for Nonlinear Wave Equations	2007	Yi Zhou Zhen Lei
+ PDF Chat	Global existence for a 2D incompressible viscoelastic model with small strain	2007	Zhen Lei Chun Liu Yi Zhou
+	Global Low Regularity Solutions of Quasi-linear Wave Equations	2007	Yi Zhou Zhen Lei
+	Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit*	2006	Zhen Lei
+	Global Existence of Classical Solutions for the Two-Dimensional Oldroyd Model via the Incompressible Limit	2005	Zhen Lei Yi Zhou
+	BLOW-UP OF CLASSICAL SOLUTIONS TO THE IDEAL MAGNETOHYDRODYNAMIC EQUATIONS WITH INITIAL DISTURBANCES	2005	Zhen Lei

Common Coauthors

Coauthor	Papers Together
Yi Zhou	17
Xiao Ren	8
Thomas Y. Hou	7
Fanghua Lin	6
Xumin Gu	6
Qi S. Zhang	5
Yuan Cai	5
Nader Masmoudi	4
Xiaoyi Zhang	3
Zhaojie Yang	3
Fan Deng	3
Dong Li	3
Cheng Yuan	3
Congming Li	2
Esteban A. Navas	2
Qi S Zhang	2
Qi S. Zhang	2
Thomas C. Sideris	2
Qi Zhang	2
Yi Zhou	2
Chen Zou	2
Guo Qing Luo	2
Bin Han	2
Shijie Dong	2
Shu Wang	2
Chun Liu	2
Yuxi Zheng	2
Na Zhao	2
Zhouping Xin	2
Qingtian Zhang	2
Jia Shi	1
Matthias Rosenkranz	1
Fan Wang	1
Changhua Wei	1
Yihong Du	1
Chang Wei	1
ZHANG Qi	1
Philippe G. LeFloch	1
Xiao-Yi Zhang	1
Dong Li	1
Yun Wang	1
Qi S. Zhang	1
Jie Liu	1
Fang-Hua Lin	1
Jia Hao	1
Hongjie Dong	1
Guanghui Cai	1
Weizhu Bao	1
Yongyong Cai	1
Gang Tian	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Partial regularity of suitable weak solutions of the navier‐stokes equations	1982	Luis Caffarelli Robert V. Kohn Louis Nirenberg	21
+ PDF Chat	Liouville theorems for the Navier–Stokes equations and applications	2009	Gabriel S. Koch Nikolaï Nadirashvili G. Serëgin Vladimír Šverák	17
+	The null condition for quasilinear wave equations in two space dimensions I	2001	Serge Alinhac	16
+ PDF Chat	Nonresonance and Global Existence of Prestressed Nonlinear Elastic Waves	2000	Thomas C. Sideris	16
+ PDF Chat	Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations	2008	Chiun‐Chuan Chen Robert M. Strain Horng‐Tzer Yau Tai‐Peng Tsai	15
+	Global solutions of nonlinear hyperbolic equations for small initial data	1986	Demetrios Christodoulou	14
+	Global existence for three‐dimensional incompressible isotropic elastodynamics	2007	Thomas C. Sideris Becca Thomases	13
+ PDF Chat	Global Solutions for Incompressible Viscoelastic Fluids	2007	Zhen Lei Chun Liu Yi Zhou	13
+	Uniform decay estimates and the lorentz invariance of the classical wave equation	1985	Sergiù Klainerman	12
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda	12
+	The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions	2006	Yemin Chen Ping Zhang	12
+	Dynamic Stability of the 3D Axi-symmetric Navier-Stokes Equations with Swirl	2006	Thomas Y. Hou Congming Li	12
+	A Liouville theorem for the axially-symmetric Navier–Stokes equations	2011	Zhen Lei Qi S. Zhang	12
+	Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit	2004	Thomas C. Sideris Becca Thomases	11
+ PDF Chat	Global existence of nonlinear elastic waves	2000	Rentarô Agemi	11
+	On the regularity of the axisymmetric solutions of the Navier-Stokes equations	2002	Dongho Chae Jihoon Lee	11
+	Global Existence of Classical Solutions for the Two-Dimensional Oldroyd Model via the Incompressible Limit	2005	Zhen Lei Yi Zhou	11
+ PDF Chat	Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II	2009	Chiun‐Chuan Chen Robert M. Strain Tai‐Peng Tsai Horng‐Tzer Yau	11
+ PDF Chat	On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations	2009	G. Serëgin Vladimír Šverák	11
+	On almost global existence for nonrelativistic wave equations in 3D	1996	Sergiù Klainerman Thomas C. Sideris	10
+	Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit*	2006	Zhen Lei	10
+	On hydrodynamics of viscoelastic fluids	2005	Fang‐Hua Lin Chun Liu Ping Zhang	10
+	Axially symmetric flows of ideal and viscous fluids filling the whole space	1968	M.R. Ukhovskii V.I. Iudovich	10
+	An Interior Regularity Criterion for an Axially Symmetric Suitable Weak Solution to the Navier—Stokes Equations	2000	Jiřı́ Neustupa Milan Pokorný	9
+ PDF Chat	Global Regularity of the 3D Axi-Symmetric Navier–Stokes Equations with Anisotropic Data	2008	Thomas Y. Hou Zhen Lei Congming Li	9
+ PDF Chat	LOCAL ENERGY DECAY FOR SOLUTIONS OF MULTI-DIMENSIONAL ISOTROPIC SYMMETRIC HYPERBOLIC SYSTEMS	2006	Thomas C. Sideris Becca Thomases	9
+ PDF Chat	Dynamic stability of the three‐dimensional axisymmetric Navier‐Stokes equations with swirl	2007	Thomas Y. Hou Congming Li	9
+ PDF Chat	Structure of solutions of 3D axisymmetric Navier–Stokes equations near maximal points	2011	Zhen Lei Qi Zhang	8
+	Almost global existence for 2-D incompressible isotropic elastodynamics	2015	Zhen Lei Thomas C. Sideris Yi Zhou	8
+ PDF Chat	Global Well‐Posedness of Incompressible Elastodynamics in Two Dimensions	2016	Zhen Lei	8
+	Bilinear estimates in BMO and the Navier-Stokes equations	2000	Hideo Kozono Yasushi Taniuchi	8
+ PDF Chat	Global existence for a 2D incompressible viscoelastic model with small strain	2007	Zhen Lei Chun Liu Yi Zhou	8
+ PDF Chat	A priori bounds for the vorticity of axially symmetric solutions to the Navier-Stokes equations	2010	Jennifer Burke Loftus Qi S. Zhang	8
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds	2001	Thomas C. Sideris Shu-Yi Tu	8
+ PDF Chat	One-point singular solutions to the Navier-Stokes equations	1998	Gang Tian Zhouping Xin	8
+	The null condition and global existence of nonlinear elastic waves	1996	Thomas C. Sideris	7
+	A new proof of the Caffarelli-Kohn-Nirenberg theorem	1998	Fanghua Lin	7
+	On the Navier-Stokes initial value problem. I	1964	Hiroshi Fujita Tosio Kato	7
+ PDF Chat	On Axially Symmetric Flows in $mathbb R^3$	1999	Salvatore Leonardi Josef Málek Jindřich Nečas Milan Pokorný	7
+	On partial regularity results for the navier‐stokes equations	1988	Michaël Struwe	7
+	Almost global existence to nonlinear wave equations in three space dimensions	1984	Franklin John Sergiù Klainerman	7
+	On the initial‐boundary value problem of the incompressible viscoelastic fluid system	2007	Fanghua Lin Ping Zhang	7
+	About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids	2001	J.-Y. Chemin Nader Masmoudi	7
+	On the interior regularity of weak solutions of the Navier-Stokes equations	1962	James Serrin	7
+	<i>L</i><sub>3,∞</sub>-solutions of the Navier-Stokes equations and backward uniqueness	2003	Luis Escauriaza G. Serëgin Vladimír Šverák	7
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	7
+ PDF Chat	Global Existence for Systems of Nonlinear Wave Equations in Two Space Dimensions	1993	Soichiro Katayama	7
+ PDF Chat	Well-posedness for the motion of an incompressible liquid with free surface boundary	2005	Hans Lindblad	6
+ PDF Chat	On 2D Viscoelasticity with Small Strain	2010	Zhen Lei	6
+	Well-posedness for the Navier–Stokes Equations	2001	Herbert Koch Daniel Tataru	6