Dong Li

发表

The Cauchy problem for the two dimensional Euler-Poisson system

Dong Li, Yifei Wu, 2011, 1109.5980.

Smooth global solutions for the two-dimensional Euler Poisson system

Dong Li, Juhi Jang, Xiaoyi Zhang, 2011, 1109.3882.

Finite time singularities and global well-posedness for fractal Burgers equations

Dong Li, Hongjie Dong, D. Du, 2009 .

Decay of Fourier modes of solutions to the dissipative surface quasi-geostrophic equations on a finite domain

N. Chernov, Dong Li, 2012 .

Existence theorems for the 2D quasi-geostrophic equation with plane wave initial conditions

Dong Li, Dong Li, 2009 .

Blow Up for the Generalized Surface Quasi-Geostrophic Equation with Supercritical Dissipation

Dong Li, Dong Li, J. Rodrigo, 2009 .

Finite time singularities for a class of generalized surface quasi-geostrophic equations

Hongjie Dong, Dong Li, Dong Li, 2008 .

Global well-posedness and scattering for defocusing energy-critical NLS in the exterior of balls with radial data

Hart F. Smith, Dong Li, Xiaoyi Zhang, 2011, 1109.4194.

Stability of solutions for nonlinear Schrödinger equations in critical spaces

Dong Li, Xiaoyi Zhang, 2011 .

Dynamics for the energy critical nonlinear wave equation in high dimensions

Dong Li, Xiaoyi Zhang, 2009, 0911.4745.

An Application of the Renormalization Group Method to Stable Limit Laws

Y. Sinai, Dong Li, Yakov G. Sinai, 2014 .

Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation

Dong Li, J. Rodrigo, 2008 .

On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces

Dong Li, Hongjie Dong, 2010 .

Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal

Shengqiang Tang, Y. Xie, Dong Li, 2014 .

Multiple Positive Solutions for Fractional Three-Point Boundary Value Problem with p-Laplacian Operator

Chunli Wang, Dong Li, Yang Liu, 2020 .

Traveling wavefronts in a reaction–diffusion model with chemotaxis and nonlocal delay effect

Shangjiang Guo, Dong Li, 2019, Nonlinear Analysis: Real World Applications.

Periodic traveling waves in a reaction–diffusion model with chemotaxis and nonlocal delay effect

Shangjiang Guo, Dong Li, 2018, Journal of Mathematical Analysis and Applications.

Global well-posedness of hedgehog solutions for the (3+1) Skyrme model

Dong Li, 2012, Duke Mathematical Journal.

Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions

Dong Li, Xiaoyi Zhang, Zhen Lei, 2012, 1205.1269.

ON THE WELL-POSEDNESS OF A 2D NONLINEAR AND NONLOCAL SYSTEM ARISING FROM THE DISLOCATION DYNAMICS

Dong Li, C. Miao, Liutang Xue, 2012, 1210.4072.

Exploding solutions for a nonlocal quadratic evolution problem

Dong Li, Xiaoyi Zhang, J. Rodrigo, 2010 .

On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations

Zhonghua Qiao, Dong Li, 2016, Journal of Scientific Computing.

On some new inequalities for fusion frames in Hilbert spaces

Dong Li, Jinsong Leng, 2017 .

On the Euler–Poincaré Equation with Non-Zero Dispersion

Dong Li, Xinwei Yu, Zhichun Zhai, 2012, 1212.4203.

The Andersen thermostat in molecular dynamics

W. E, Dong Li, 2008 .

Stability and Hopf Bifurcation in a Reaction-Diffusion Model with Chemotaxis and Nonlocal Delay Effect

Dong Li, Shangjiang Guo, Shangjiang Guo, 2018, Int. J. Bifurc. Chaos.

ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS

Tong Li, Kun Zhao, Dong Li, 2011 .

Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations

Dong Li, Tai-Peng Tsai, S. Le Coz, 2013, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d⩾2

Dong Li, Xiaoyi Zhang, 2009, 0902.0802.

Characterization of Minimal-Mass Blowup Solutions to the Focusing Mass-Critical NLS

Dong Li, Xiaoyi Zhang, R. Killip, 2008, SIAM J. Math. Anal..

ON THE RIGIDITY OF MINIMAL MASS SOLUTIONS TO THE FOCUSING MASS-CRITICAL NLS FOR ROUGH INITIAL DATA

Dong Li, Xiaoyi Zhang, 2009 .

Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions

M. Czubak, Dong Li, Xiaoyi Zhang, 2009, 0911.4534.

On the focusing mass critical problem in six dimensions with splitting spherically symmetric initial data

Dong Li, Xiaoyi Zhang, 2010 .

Regularity of almost periodic modulo scaling solutions for mass-critical NLS and applications

Dong Li, Xiaoyi Zhang, 2009, 0911.4746.

Dynamics for the energy critical nonlinear Schr\"odinger equation in high dimensions

Dong Li, Xiaoyi Zhang, 2009, 0902.0807.

On a parabolic sine-Gordon model pdf

Chaoyu Quan, Dong Li, Xinyu Cheng, 2021, Numerical Mathematics: Theory, Methods and Applications.

On a generalized maximum principle for a transport-diffusion model with $\log$-modulated fractional dissipation

Dong Li, Hongjie Dong, 2012, 1209.3701.

Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces

Jean Bourgain, Dong Li, J. Bourgain, 2013, 1307.7090.

Optimal Gevrey regularity for supercritical quasi-geostrophic equations

Dong Li, Dong Li, 2021, 2106.12439.

Spatial Analyticity of the Solutions to the Subcritical Dissipative Quasi-geostrophic Equations

Hongjie Dong, Dong Li, Dong Li, 2008 .

On a One-Dimensional Nonlocal Flux with Fractional Dissipation

Dong Li, José L. Rodrigo, Dong Li, 2011, SIAM J. Math. Anal..

On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation

Dong Li, Xiaoyi Zhang, 2009 .

Remarks on the Bernstein inequality for higher order operators and related results

Yannick Sire, Dong Li, Dong Li, 2021, 2109.07952.

ON A NONLOCAL AGGREGATION MODEL WITH NONLINEAR DIFFUSION

Dong Li, Xiaoyi Zhang, Dong Li, 2009, 0902.2017.

On the Spectral Gap of a Square Distance Matrix

B. Wetton, Dong Li, D. Shirokoff, 2017 .

On the gap property of a linearized NLS operator

Dong Li, Kai Yang, Dong Li, 2021, 2110.14393.

Global wellposedness for 2D quasilinear wave without Lorentz

Dong Li, Xinyu Cheng, Jiao Xu, 2021, Dynamics of Partial Differential Equations.

Uniform estimates for 2D quasilinear wave

Dong Li, Dong Li, 2021, 2106.06419.

Uniform boundedness of highest norm for 2D quasilinear wave

Dong Li, Xinyue Cheng, Jiao Xu, 2021, 2104.10019.

Lie Symmetries and Exact Solutions for a Nonlinear Evolution Equation in the AKNS Hierarchy

Shengqiang Tang, Dong Li, 2014 .

On the Rate of Convergence to Equilibrium of the Andersen Thermostat in Molecular Dynamics

Dong Li, 2007 .

Bifurcation and stability of a Mimura–Tsujikawa model with nonlocal delay effect

Shangjiang Guo, Dong Li, Shangjiang Guo, 2016 .

Shock formation in a traffic flow model with Arrhenius look-ahead dynamics

Dong Li, Tong Li, Tong Li, 2011, Networks Heterog. Media.

Strong illposedness of the incompressible Euler equation in integer Cm spaces

Jean Bourgain, Dong Li, J. Bourgain, 2014, Geometric and Functional Analysis.

On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations

Dong Li, Zhonghua Qiao, Zhonghua Qiao, 2017, J. Sci. Comput..

On a System of Hyperbolic Balance Laws Arising from Chemotaxis (14rit198)

Dong Li, 2014 .

Quantitative decay of a one-dimensional hybrid chemotaxis model with large data

Ronghua Pan, Kun Zhao, Dong Li, 2015 .

Blow Ups of Complex Solutions of the 3D-Navier-Stokes System

Y. Sinai, Dong Li, 2006, physics/0610101.

Traveling wavefronts in a two-species chemotaxis model with Lotka-Volterra competitive kinetics

Dong Li, Shangjiang Guo, Xiaolong He, 2021, Appl. Math. Lett..

Energy dissipation of Strang splitting for Allen-Cahn pdf

Chaoyu Quan, Dong Li, Tao Tang, 2021, ArXiv.

Energy stability of Strang splitting for vector-valued and matrix-valued Allen-Cahn equations pdf

Chaoyu Quan, Dong Li, Dong Li, 2021, ArXiv.

Some properties of g-frames for Hilbert space operators

Tingzhu Huang, Dong Li, Jinsong Leng, 2017 .

Sharp convergence to steady states of Allen-Cahn pdf

Chaoyu Quan, Tao Tang, Dong Li, 2021, ArXiv.

On a one-dimensional -patch model with nonlocal drift and fractional dissipation

Dong Li, Hongjie Dong, 2012, 1207.0957.

Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations

Zhonghua Qiao, Tao Tang, Dong Li, 2014, SIAM J. Numer. Anal..

Uniform estimates for 2D quasilinear wave

Dong Li, 2021, Advances in Mathematics.

Existence of a global smooth solution to the initial boundary-value problem for the p-system with nonlinear damping

Dong Li, Lizhi Ruan, Mina Jiang, 2013, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

The focusing energy-critical Hartree equation

Changxing Miao, Dong Li, Xiaoyi Zhang, 2009 .

On a sinc-type MBE model pdf

Chaoyu Quan, Dong Li, Xinyu Cheng, 2021, ArXiv.

Non-uniqueness of Steady-State Weak Solutions to the Surface Quasi-Geostrophic Equations

Dong Li, Xinyu Cheng, Hyunju Kwon, 2020, Communications in Mathematical Physics.

Global wellposedness of an inviscid 2D Boussinesq system with nonlinear thermal diffusivity

Dong Li, Xiaojing Xu, 2013 .

Negative time splitting is stable pdf

Chaoyu Quan, Dong Li, Dong Li, 2021, ArXiv.

On the energy stability of Strang-splitting for Cahn-Hilliard pdf

Chaoyu Quan, Dong Li, Dong Li, 2021, ArXiv.

The Operator-Splitting Method for Cahn-Hilliard is Stable

Chaoyu Quan, Dong Li, Dong Li, 2021, J. Sci. Comput..

Stability analysis for the Implicit-Explicit discretization of the Cahn-Hilliard equation pdf

Tao Tang, Dong Li, T. Tang, 2020, ArXiv.

Why large time-stepping methods for the Cahn-Hilliard equation is stable pdf

Dong Li, Dong Li, 2021, Mathematics of Computation.

Effective maximum principles for spectral methods pdf

Dong Li, Dong Li, 2021, Annals of Applied Mathematics.

Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials pdf

Tao Tang, Dong Li, T. Tang, 2021, ArXiv.

Complex singularities of solutions of some 1D hydrodynamic models

Y. Sinai, Dong Li, 2008 .

Blow ups of complex solutions of the 3D NavierStokes system and renormalization group method

Y. Sinai, Dong Li, 2008 .

Dynamics for the energy critical nonlinear Schr\"odinger equation in high dimensions

Dong Li, Xiaoyi Zhang, 2009, 0902.0807.

Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces

J. Bourgain, Dong Li, 2013, Inventiones mathematicae.

On the Dispersive Estimate for the Dirichlet Schrödinger Propagator and Applications to Energy Critical NLS

Dong Li, Xiaoyi Zhang, Guixiang Xu, 2014, Canadian Journal of Mathematics.

The BDF3/EP3 Scheme for MBE with No Slope Selection is Stable

Chaoyu Quan, Dong Li, Wen Yang, 2021, Journal of Scientific Computing.

On a frequency localized Bernstein inequality and some generalized Poincare-type inequalities

Dong Li, Dong Li, 2012, 1212.0183.

On the paper ” Blows Ups of Complex Solutions of the 3 D Navier-Stokes System and RG Method ”

Y. Sinai, Dong Li, Navier-Stokes, 2008 .

A regularity upgrade of pressure

Dong Li, Xiaoyi Zhang, Dong Li, 2021, Nonlinear Dispersive Waves and Fluids.