Weiren Zhao

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All published works
Action Title Year Authors
+ Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel 2025 Weiren Zhao
+ Improved stability threshold of the two-dimensional Couette flow for Navier-Stokes-Boussinesq systems via quasi-linearization 2025 Bin Niu
Weiren Zhao
+ PDF Chat Viscosity driven instability of shear flows without boundaries 2024 Hui Li
Weiren Zhao
+ Asymptotic Stability in the Critical Space of 2D Monotone Shear Flow in the Viscous Fluid 2024 Hui Li
Weiren Zhao
+ PDF Chat Improved stability threshold of the Two-Dimensional Couette flow for Navier-Stokes-Boussinesq Systems via quasi-linearization 2024 Bin Niu
Weiren Zhao
+ PDF Chat Boundary driven instabilities of Couette flows 2024 Dongfen Bian
Emmanuel Grenier
Nader Masmoudi
Weiren Zhao
+ Asymptotic Stability of Couette Flow in a Strong Uniform Magnetic Field for the Euler-MHD System 2024 Weiren Zhao
Ruizhao Zi
+ PDF Chat Nonlinear inviscid damping for a class of monotone shear flows in a finite channel 2024 Nader Masmoudi
Weiren Zhao
+ PDF Chat Landau damping, collisionless limit, and stability threshold for the Vlasov-Poisson equation with nonlinear Fokker-Planck collisions 2024 Jacob Bedrossian
Weiren Zhao
Ruizhao Zi
+ A dynamical approach to the study of instability near Couette flow 2023 Hui Li
Nader Masmoudi
Weiren Zhao
+ Stability Threshold of the Couette Flow for Navier–Stokes Boussinesq System with Large Richardson Number \(\boldsymbol{\gamma}^{\boldsymbol{2}} \boldsymbol{\gt} \frac{\boldsymbol 1}{\boldsymbol 4}\) 2023 Cuili Zhai
Weiren Zhao
+ PDF Chat Metastability for the Dissipative Quasi-Geostrophic Equation and the Non-local Enhancement 2023 Hui Li
Weiren Zhao
+ Asymptotic stability of Couette flow in a strong uniform magnetic field for the Euler-MHD system 2023 Weiren Zhao
Ruizhao Zi
+ PDF Chat Asymptotic stability of two-dimensional Couette flow in a viscous fluid 2022 Hui Li
Nader Masmoudi
Weiren Zhao
+ PDF Chat Asymptotic stability for two-dimensional Boussinesq systems around the Couette flow in a finite channel 2022 Nader Masmoudi
Cuili Zhai
Weiren Zhao
+ PDF Chat Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity 2022 Nader Masmoudi
Belkacem Said‐Houari
Weiren Zhao
+ PDF Chat Stability threshold of two-dimensional Couette flow in Sobolev spaces 2022 Nader Masmoudi
Weiren Zhao
+ A dynamical approach to the study of instability near Couette flow 2022 Hui Li
Nader Masmoudi
Weiren Zhao
+ PDF Chat Long-Time Behavior of Alfvén Waves in a Flowing Plasma: Generation of the Magnetic Island 2021 Cuili Zhai
Zhifei Zhang
Weiren Zhao
+ PDF Chat Linear damping and depletion in flowing plasma with strong sheared magnetic fields 2021 Han Liu
Nader Masmoudi
Cuili Zhai
Weiren Zhao
+ Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary 2021 Chao Wang
Zhifei Zhang
Weiren Zhao
Yunrui Zheng
+ Linear damping and depletion in flowing plasma with strong sheared magnetic fields 2021 Han Liu
Nader Masmoudi
Cuili Zhai
Weiren Zhao
+ PDF Chat Enhanced dissipation for the 2D couette flow in critical space 2020 Nader Masmoudi
Weiren Zhao
+ Linear inviscid damping and enhanced dissipation for the Kolmogorov flow 2020 Dongyi Wei
Zhifei Zhang
Weiren Zhao
+ Nonlinear inviscid damping for a class of monotone shear flows in finite channel 2020 Nader Masmoudi
Weiren Zhao
+ Stability threshold of the 2D Couette flow in Sobolev spaces 2019 Nader Masmoudi
Weiren Zhao
+ PDF Chat Linear Inviscid Damping and Vorticity Depletion for Shear Flows 2019 Dongyi Wei
Zhifei Zhang
Weiren Zhao
+ Enhanced dissipation for the 2D Couette flow in critical space 2019 Nader Masmoudi
Weiren Zhao
+ Long time behavior of Alfv\'en waves in a flowing plasma: mathematical analysis on the generation of the magnetic island 2018 Cuili Zhai
Zhifei Zhang
Weiren Zhao
+ Persistence of Besov Regularity for a Generalized Drift-Diffusion Equation with Pressure 2017 Weiren Zhao
+ Commutator estimates for the Dirichlet-to-Neumann map of Stokes systems in Lipschitz domains 2017 Qiang Xu
Weiren Zhao
Shulin Zhou
+ Global well‐posedness for the 2D dissipative quasi‐geostrophic equations in modulation spaces 2017 Weiren Zhao
Jiecheng Chen
+ Linear inviscid damping and vorticity depletion for shear flows 2017 Dongyi Wei
Zhifei Zhang
Weiren Zhao
+ Linear inviscid damping and enhanced dissipation for the Kolmogorov flow 2017 Dongyi Wei
Zhifei Zhang
Weiren Zhao
+ Commutator Estimates for the Dirichlet-to-Neumann Map of Stokes Systems in Lipschitz Domains 2017 Qiang Xu
Weiren Zhao
Shulin Zhou
+ PDF Chat Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces 2016 Dongyi Wei
Zhifei Zhang
Weiren Zhao
+ Local wellposedness in Sobolev space for the inhomogeneous non-resistive MHD equations on general domain 2016 Weiren Zhao
+ Fujita–Kato theorem for the 3-D inhomogeneous Navier–Stokes equations 2016 Dongxiang Chen
Zhifei Zhang
Weiren Zhao
+ Linear inviscid damping for a class of monotone shear flow in Sobolev spaces 2015 Dongyi Wei
Zhifei Zhang
Weiren Zhao
+ Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary 2015 Chao Wang
Zhifei Zhang
Weiren Zhao
Yunrui Zheng
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations 2015 Jacob Bedrossian
Nader Masmoudi
22
+ Large time behavior and asymptotic stability of the 2D Euler and linearized Euler equations 2010 Freddy Bouchet
Hidetoshi Morita
18
+ PDF Chat Enhanced Dissipation and Inviscid Damping in the Inviscid Limit of the Navier–Stokes Equations Near the Two Dimensional Couette Flow 2015 Jacob Bedrossian
Nader Masmoudi
Vlad Vicol
17
+ PDF Chat The Sobolev Stability Threshold for 2D Shear Flows Near Couette 2016 Jacob Bedrossian
Vlad Vicol
Fei Wang
17
+ PDF Chat On the stability threshold for the 3D Couette flow in Sobolev regularity 2017 Jacob Bedrossian
Pierre Germain
Nader Masmoudi
15
+ PDF Chat Transition Threshold for the 2-D Couette Flow in a Finite Channel 2020 Qi Chen
Te Li
Dongyi Wei
Zhifei Zhang
15
+ PDF Chat Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces 2016 Dongyi Wei
Zhifei Zhang
Weiren Zhao
15
+ Linear inviscid damping for monotone shear flows 2016 Christian Zillinger
15
+ Linear inviscid damping and enhanced dissipation for the Kolmogorov flow 2020 Dongyi Wei
Zhifei Zhang
Weiren Zhao
14
+ PDF Chat Linear Inviscid Damping and Vorticity Depletion for Shear Flows 2019 Dongyi Wei
Zhifei Zhang
Weiren Zhao
13
+ PDF Chat Long‐Time Instability of the Couette Flow in Low Gevrey Spaces 2023 Yu Deng
Nader Masmoudi
11
+ PDF Chat Linear Inviscid Damping Near Monotone Shear Flows 2020 Hao Jia
10
+ PDF Chat Enhanced dissipation for the 2D couette flow in critical space 2020 Nader Masmoudi
Weiren Zhao
10
+ PDF Chat Stability threshold of two-dimensional Couette flow in Sobolev spaces 2022 Nader Masmoudi
Weiren Zhao
10
+ PDF Chat Linear Inviscid Damping in Gevrey Spaces 2019 Hao Jia
9
+ PDF Chat Vortex Axisymmetrization, Inviscid Damping, and Vorticity Depletion in the Linearized 2D Euler Equations 2019 Jacob Bedrossian
Michele Coti Zelati
Vlad Vicol
9
+ Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method 2019 Emmanuel Grenier
Toan T. Nguyen
Frédéric Rousset
Avy Soffer
8
+ PDF Chat Pseudospectral Bound and Transition Threshold for the 3D Kolmogorov Flow 2019 Te Li
Dongyi Wei
Zhifei Zhang
8
+ PDF Chat Landau Damping: Paraproducts and Gevrey Regularity 2016 Jacob Bedrossian
Nader Masmoudi
Clément Mouhot
8
+ PDF Chat Metastability of Kolmogorov Flows and Inviscid Damping of Shear Flows 2018 Zhiwu Lin
Ming Xu
8
+ PDF Chat On Landau damping 2011 Clément Mouhot
CĂ©dric Villani
8
+ PDF Chat Inviscid Dynamical Structures Near Couette Flow 2010 Zhiwu Lin
Chongchun Zeng
8
+ PDF Chat Inviscid Damping Near the Couette Flow in a Channel 2019 Alexandru D. Ionescu
Hao Jia
7
+ PDF Chat On Pseudospectral Bound for Non-selfadjoint Operators and Its Application to Stability of Kolmogorov Flows 2019 Slim Ibrahim
Yasunori Maekawa
Nader Masmoudi
7
+ PDF Chat Enhanced Dissipation, Hypoellipticity, and Anomalous Small Noise Inviscid Limits in Shear Flows 2017 Jacob Bedrossian
Michele Coti Zelati
7
+ PDF Chat Linear damping and depletion in flowing plasma with strong sheared magnetic fields 2021 Han Liu
Nader Masmoudi
Cuili Zhai
Weiren Zhao
7
+ Transition threshold for the 3D Couette flow in Sobolev space 2018 Dongyi Wei
Zhifei Zhang
7
+ PDF Chat Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity 2022 Nader Masmoudi
Belkacem Said‐Houari
Weiren Zhao
7
+ PDF Chat Enhanced Dissipation in the Navier–Stokes Equations Near the Poiseuille Flow 2020 Michele Coti Zelati
Tarek M. Elgindi
Klaus Widmayer
6
+ PDF Chat Asymptotic stability of two-dimensional Couette flow in a viscous fluid 2022 Hui Li
Nader Masmoudi
Weiren Zhao
6
+ Nonlinear Instability in Two Dimensional Ideal Fluids: The Case of a Dominant Eigenvalue 2003 Misha Vishik
Susan Friedlander
5
+ The null condition for quasilinear wave equations in two space dimensions I 2001 Serge Alinhac
5
+ Nonlinear inviscid damping for a class of monotone shear flows in finite channel 2020 Nader Masmoudi
Weiren Zhao
5
+ Fourier Analysis and Nonlinear Partial Differential Equations 2011 Hajer Bahouri
Jean-Yves Chemin
Raphaël Danchin
5
+ PDF Chat Stability of Couette flow for 2D Boussinesq system with vertical dissipation 2021 Wen Deng
Jiahong Wu
Ping Zhang
5
+ PDF Chat Transition Threshold for the <scp>3D</scp> Couette Flow in Sobolev Space 2020 Dongyi Wei
Zhifei Zhang
5
+ PDF Chat Nonlinear inviscid damping near monotonic shear flows 2023 Alexandru D. Ionescu
Hao Jia
5
+ PDF Chat Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case 2020 Jacob Bedrossian
Pierre Germain
Nader Masmoudi
5
+ Nonlinear inviscid damping near monotonic shear flows 2020 Alexandru D. Ionescu
Hao Jia
4
+ Stability threshold of the 2D Couette flow in Sobolev spaces 2019 Nader Masmoudi
Weiren Zhao
4
+ On circular flows: Linear stability and damping 2017 Christian Zillinger
4
+ Dynamics near the subcritical transition of the 3D Couette flow I: Below threshold case 2015 Jacob Bedrossian
Pierre Germain
Nader Masmoudi
4
+ Linear Inviscid Damping for Monotone Shear Flows 2014 Christian Zillinger
4
+ PDF Chat Asymptotic stability for two-dimensional Boussinesq systems around the Couette flow in a finite channel 2022 Nader Masmoudi
Cuili Zhai
Weiren Zhao
4
+ PDF Chat Small scale creation for solutions of the incompressible two-dimensional Euler equation 2014 Alexander Kiselev
VladimĂ­r Ć verĂĄk
4
+ PDF Chat Linear Inviscid Damping for Couette Flow in Stratified Fluid 2017 Jincheng Yang
Zhiwu Lin
4
+ PDF Chat Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation 2021 Siming He
4
+ PDF Chat Inviscid Damping and Enhanced Dissipation of the Boundary Layer for 2D Navier–Stokes Linearized Around Couette Flow in a Channel 2020 Jacob Bedrossian
Siming He
4
+ On the Spectrum of an Operator Occurring in the Theory of Hydrodynamic Stability 1966 S. I. Rosencrans
D. H. Sattinger
4
+ PDF Chat Enhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimate 2022 Shijin Ding
Zhilin Lin
4