Zhen Lei
#186,026
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Zhen Leiengineering Degrees
Engineering
#8827
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#10449
Historical Rank
Mechanical Engineering
#926
World Rank
#1008
Historical Rank
Applied Physics
#3287
World Rank
#3371
Historical Rank
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Engineering
Zhen Lei's Degrees
- PhD Mechanical Engineering University of California, Santa Barbara
- Masters Mechanical Engineering University of California, Santa Barbara
- Bachelors Mechanical Engineering Tsinghua University
Why Is Zhen Lei Influential?
(Suggest an Edit or Addition)Zhen Lei's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Global Solutions for Incompressible Viscoelastic Fluids (2008) (238)
- BKM's Criterion and Global Weak Solutions for Magnetohydrodynamics with Zero Viscosity (2009) (159)
- Global mild solutions of Navier‐Stokes equations (2011) (151)
- On axially symmetric incompressible magnetohydrodynamics in three dimensions (2012) (136)
- Global Existence of Classical Solutions for the Two-Dimensional Oldroyd Model via the Incompressible Limit (2005) (132)
- Remarks on the blowup criteria for Oldroyd models (2009) (101)
- Global Well-Posedness of the Incompressible Magnetohydrodynamics (2016) (96)
- On the stabilizing effect of convection in three‐dimensional incompressible flows (2009) (82)
- Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit* (2006) (79)
- Global existence for a 2D incompressible viscoelastic model with small strain (2007) (76)
- Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions (2012) (66)
- A Liouville Theorem for the Axially-symmetric Navier-Stokes Equations (2010) (63)
- Almost global existence for 2-D incompressible isotropic elastodynamics (2012) (61)
- Global Well‐Posedness of Incompressible Elastodynamics in Two Dimensions (2014) (59)
- On 2D Viscoelasticity with Small Strain (2009) (59)
- Global Regularity of the 3D Axi-Symmetric Navier–Stokes Equations with Anisotropic Data (2008) (55)
- Criticality of the Axially Symmetric Navier-Stokes Equations (2015) (53)
- Structure of Helicity and Global Solutions of Incompressible Navier–Stokes Equation (2015) (48)
- Local Well-posedness of the three dimensional compressible Euler--Poisson equations with physical vacuum (2014) (46)
- Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum (2011) (43)
- On the Two‐Dimensional Muskat Problem with Monotone Large Initial Data (2016) (37)
- Singularities of solutions to compressible Euler equations with vacuum (2012) (36)
- On the Partial Regularity of a 3D Model of the Navier-Stokes Equations (2009) (32)
- Logarithmically improved criteria for Euler and Navier-Stokes equations (2008) (26)
- A complete global solution to the pressure gradient equation (2007) (26)
- Sharp One Component Regularity for Navier–Stokes (2017) (26)
- Vanishing Viscosity Limit for Incompressible Viscoelasticity in Two Dimensions (2017) (25)
- Rotation-Strain Decomposition for the Incompressible Viscoelasticity in Two Dimensions (2012) (22)
- Global well-posedness for 2D nonlinear wave equations without compact support (2017) (21)
- On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations (2012) (21)
- Uniform Bound of the Highest Energy for the Three Dimensional Incompressible Elastodynamics (2015) (21)
- Global solutions of the evolutionary Faddeev model with small initial data (2011) (19)
- Local Exact Boundary Controllability for Nonlinear Wave Equations (2007) (19)
- A Priori Bound on the Velocity in Axially Symmetric Navier–Stokes Equations (2013) (18)
- Global radial solutions to 3D relativistic Euler equations for non-isentropic Chaplygin gases (2017) (16)
- STRUCTURE OF SOLUTIONS OF 3D AXISYMMETRIC NAVIER-STOKES EQUATIONS NEAR MAXIMAL POINTS (2011) (15)
- On the Constantin–Lax–Majda Model with Convection (2018) (13)
- Global solutions for micro–macro models of polymeric fluids (2011) (11)
- Global Well-posedness of Incompressible Elastodynamics in 2D (2014) (11)
- Global low regularity solutions of quasi-linear wave equations (2007) (10)
- The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded (2021) (10)
- On a family of exact solutions to the incompressible liquid crystals in two dimensions (2012) (9)
- On the Stabilizing Effect of Convection in 3 D Incompressible Flows (2008) (9)
- Improved Liouville theorems for axially symmetric Navier-Stokes equations (2017) (8)
- On scaling invariance and type-I singularities for the compressible Navier-Stokes equations (2017) (8)
- Logarithmically Improved Criteria for Navier-Stokes Equations (2008) (7)
- On ancient periodic solutions to Axially-Symmetric Navier-Stokes Equations (2019) (6)
- Global Wellposedness of Liquid Crystals and Heat Harmonic Maps in Two Dimensions (2012) (6)
- Infinite-time Exponential Growth of the Euler Equation on Two-dimensional Torus (2016) (5)
- Global exact boundary controllability for cubic semi-linear wave equations and Klein-Gordon equations (2009) (4)
- Extension Problems Related to the Higher Order Fractional Laplacian (2018) (4)
- On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations (2014) (3)
- A Liouville theorem for Axi-symmetric Navier–Stokes equations on R 2 × T 1 (2019) (3)
- On the Partial Regularity of a 3 D Model of the Navier-Stokes Equations (2008) (3)
- Local Well-posedness of the Free Boundary Incompressible Elastodynamics with Surface Tension (2020) (3)
- Solving Parametric Partial Differential Equations with Deep Rectified Quadratic Unit Neural Networks (2022) (2)
- Local Well-Posedness of Free-Boundary Incompressible Elastodynamics with Surface Tension via Vanishing Viscosity Limit (2022) (2)
- Quantitative partial regularity of the Navier-Stokes equations and applications (2022) (1)
- Finite Time Blow-up of a 3D Model for Incompressible Euler Equations (2012) (1)
- Global Regularity to the Navier-Stokes equations for a class of Large initial Data (2015) (1)
- Uniform Bound of the Highest Energy for the Three Dimensional Incompressible Elastodynamics (2014) (0)
- A P ] 1 1 O ct 2 01 5 Uniform Bound of the Highest Energy for the 3 D Incompressible Elastodynamics (2018) (0)
- Structure of Singularities of 3D Axi-symmetric (2010) (0)
- Revisit of the Faddeev Model in Dimension Two (2022) (0)
- Global Regularity of the 3 D AxiSymmetric Navier – Stokes Equations 1623 angular velocity and vorticity components of the 3 D axisymmetric Navier – Stokes equations (2008) (0)
- 2 3 M ar 2 01 2 Finite Time Blow-up of a 3 D Model for Incompressible Euler Equations (2012) (0)
- New Conserved Quantities of the Incompressible Euler Equations (2010) (0)
- Almost Criticality of the Axi-Symmetric Navier-Stokes Equations (2015) (0)
- Structure of Singularities of 3D Axi-symmetric Navier-Stokes Equations (2010) (0)
- On the 2D Muskat Problem with Monotone Large Initial Data (2016) (0)
- Global radial solutions to 3D relativistic Euler equations for non-isentropic Chaplygin gases (2016) (0)
- Radiation of the energy-critical wave equation with compact support (2022) (0)
- A P ] 2 M ay 2 01 6 Global Well-posedness of the Incompressible Magnetohydrodynamics (2021) (0)
- Global Well-Posedness of the Incompressible Magnetohydrodynamics (2018) (0)
- A Liouville Theorem for the Axially-symmetric (2010) (0)
- On the Constantin–Lax–Majda Model with Convection (2019) (0)
- Extension Problems Related to the Higher Order Fractional Laplacian (2017) (0)
- On megnetohydrodynamics with partial dissipation near equalibirum (2012) (0)
- A Liouville theorem for Axi-symmetric Navier–Stokes equations on $${\mathbb {R}}^2 \times {\mathbb {T}}^1$$ (2019) (0)
- Structure of Helicity and Global Solutions of Incompressible Navier–Stokes Equation (2015) (0)
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What Schools Are Affiliated With Zhen Lei?
Zhen Lei is affiliated with the following schools:
