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Author ID: li.dong Recent zbMATH articles by "Li, Dong"
Published as: Li, Dong; Li, D.
Homepage: https://icm.sustech.edu.cn/lidong/
External Links: MGP · ORCID · Google Scholar · ResearchGate
all top 5

Co-Authors

15 single-authored
22 Zhang, Xiaoyi
16 Sinaĭ, Yakov Grigor’evich
13 Quan, Chaoyu
9 Cheng, Xinyu
9 Dong, Hongjie
8 Rodrigo, José Luis
6 Tang, Tao
5 Bourgain, Jean
5 Xu, Jiao
4 Cai, Jian-Feng
4 Huang, Meng
4 Qiao, Zhonghua
4 Wang, Yang
4 Zhao, Kun
3 Dinaburg, Efim I.
3 Hmidi, Taoufik
3 Miao, Changxing
2 Avdeeva, Maria
2 Boldrighini, Carlo
2 Cai, Jin-Yi
2 Chen, Xi
2 E, Weinan
2 Lei, Zhen
2 Li, Tong
2 Ma, Li
2 Volberg, Alexander Lvovich
2 Wang, Ke
2 Wetton, Brian R.
2 Yu, Xinwei
1 Aktaş, Emel
1 Alumur, Sibel A.
1 Archetti, Claudia
1 Ayhan, Hayriye
1 Battarra, Maria
1 Bennell, Julia A.
1 Bourjolly, Jean-Marie
1 Boylan, John Edward
1 Breton, Michèle
1 Bulut, Aynur
1 Bunimovich, Leonid Abramovich
1 Canca, David
1 Cellarosi, Francesco
1 Charlin, Laurent
1 Chen, Bo
1 Chen, Lifang
1 Chen, Xingzhi
1 Chernov, Nikolai Ivanovich
1 Cicek, Cihan Tugrul
1 Cohen, Albert
1 Cox, Louis Anthony jun.
1 Currie, Christine S. M.
1 Czubak, Magdalena
1 Dai, Shu
1 De Lellis, Camillo
1 de Reffye, Philippe
1 Deligne, Pierre
1 Demeulemeester, Erik L.
1 Ding, Li
1 Disney, Stephen M.
1 Du, Dapeng
1 Duan, Yuling
1 Ehrgott, Matthias
1 Eppler, Martin J.
1 Erdoğan, Güneş
1 Fortz, Bernard
1 Franco, L. Alberto
1 Frische, Jens
1 Gao, Jianping
1 Greco, Salvatore
1 Gregory, Amanda J.
1 Guan, Li
1 Gurevich, Boris
1 Hämäläinen, Raimo P.
1 He, Yong
1 Herroelen, Willy S.
1 Hewitt, Mike
1 Hickernell, Fred J.
1 Holden, Helge
1 Holmström, Jan
1 Hooker, John N. jun.
1 Huang, Hongfu
1 Illusie, Luc
1 Işık, Tuğçe
1 Ivanisvili, Paata
1 Jang, Juhi
1 Jeong, In-Jee
1 Johnes, Jill
1 Kara, Bahar Yetis
1 Karsu, Özlem
1 Kent, Katherine
1 Khanin, Konstantin M.
1 Killip, Rowan
1 Köhler, Charlotte
1 Kohn, Robert Vita
1 Kunc, Martin
1 Kuo, Yonghong
1 Kwon, Hyunju
1 Laporte, Gilbert
1 Le Coz, Stefan
1 Letchford, Adam N.
...and 75 more Co-Authors
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Serials

9 Journal of Statistical Physics
7 Communications in Mathematical Physics
6 Advances in Mathematics
5 Annals of Applied Mathematics
4 Journal of Differential Equations
4 Journal of Scientific Computing
4 Discrete and Continuous Dynamical Systems
4 Communications in Contemporary Mathematics
4 Dynamics of Partial Differential Equations
3 Archive for Rational Mechanics and Analysis
3 Transactions of the American Mathematical Society
3 Revista Matemática Iberoamericana
2 Journal of Computational Physics
2 Nonlinearity
2 Mathematics of Computation
2 Pacific Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Mathematical Analysis
2 Mathematical Research Letters
2 Regular and Chaotic Dynamics
2 Journal of the European Mathematical Society (JEMS)
2 Communications on Pure and Applied Analysis
2 Communications in Mathematical Sciences
2 Analysis & PDE
2 Science China. Mathematics
1 Communications on Pure and Applied Mathematics
1 Inverse Problems
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Canadian Journal of Mathematics
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 SIAM Journal on Numerical Analysis
1 Journal of Time Series Analysis
1 Physica D
1 Forum Mathematicum
1 Differential and Integral Equations
1 IMRN. International Mathematics Research Notices
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 European Journal of Operational Research
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Computational Complexity
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 International Transactions in Operational Research
1 Mathematical and Computer Modelling of Dynamical Systems
1 Journal of Mathematical Fluid Mechanics
1 Communications in Nonlinear Science and Numerical Simulation
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Networks and Heterogeneous Media
1 Numerical Mathematics: Theory, Methods and Applications
1 Moscow Journal of Combinatorics and Number Theory
1 The Abel Prize
1 Communications in Mathematical Analysis and Applications

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 1,526 times in 1,067 Documents Cited by Year
Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations. Zbl 1346.35162
Li, Dong; Qiao, Zhonghua; Tang, Tao
96
2016
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
89
2017
On Kato-Ponce and fractional Leibniz. Zbl 1412.35261
Li, Dong
78
2019
On a hyperbolic-parabolic system modeling chemotaxis. Zbl 1230.35070
Li, Dong; Li, Tong; Zhao, Kun
65
2011
Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces. Zbl 1320.35266
Bourgain, Jean; Li, Dong
65
2015
On an endpoint Kato-Ponce inequality. Zbl 1340.42021
Bourgain, Jean; Li, Dong
43
2014
On the crystallization of 2D hexagonal lattices. Zbl 1180.82191
E, Weinan; Li, Dong
42
2009
Quantitative decay of a one-dimensional hybrid chemotaxis model with large data. Zbl 1327.35166
Li, Dong; Pan, Ronghua; Zhao, Kun
41
2015
Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces. Zbl 1480.35316
Bourgain, Jean; Li, Dong
40
2015
Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation. Zbl 1138.35381
Li, Dong; Rodrigo, Jose
37
2008
The focusing energy-critical Hartree equation. Zbl 1155.35421
Li, Dong; Miao, Changxing; Zhang, Xiaoyi
37
2009
Finite time singularities and global well-posedness for fractal Burgers equations. Zbl 1166.35030
Dong, Hongjie; Du, Dapeng; Li, Dong
37
2009
Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions. Zbl 1298.35150
Lei, Zhen; Li, Dong; Zhang, Xiaoyi
37
2014
Exploding solutions for a nonlocal quadratic evolution problem. Zbl 1195.35182
Li, Dong; Rodrigo, José L.; Zhang, Xiaoyi
35
2010
Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. Zbl 1151.35073
Li, Dong; Sinai, Ya. G.
32
2008
Finite-time singularities of an aggregation equation in \(\mathbb R^n\) with fractional dissipation. Zbl 1178.35083
Li, Dong; Rodrigo, Jose
30
2009
Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity. Zbl 1302.35319
Li, Dong; Xu, Xiaojing
30
2013
Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations. Zbl 1173.35626
Dong, Hongjie; Li, Dong
27
2009
The Cauchy problem for the two dimensional Euler-Poisson system. Zbl 1308.35220
Li, Dong; Wu, Yifei
27
2014
Stability and unconditional uniqueness of solutions for energy critical wave equations in high dimensions. Zbl 1332.35007
Bulut, Aynur; Czubak, Magdalena; Li, Dong; Pavlović, Nataša; Zhang, Xiaoyi
26
2013
On the stabilization size of semi-implicit Fourier-spectral methods for 3D Cahn-Hilliard equations. Zbl 1387.35495
Li, Dong; Qiao, Zhonghua
25
2017
Refined blowup criteria and nonsymmetric blowup of an aggregation equation. Zbl 1168.35037
Li, Dong; Rodrigo, Jose L.
25
2009
Trigonometric spectral collocation methods on lattices. Zbl 1036.65093
Li, Dong; Hickernell, Fred J.
24
2003
Smooth global solutions for the two-dimensional Euler Poisson system. Zbl 1298.35148
Jang, Juhi; Li, Dong; Zhang, Xiaoyi
23
2014
Spatial analyticity of the solutions to the subcritical dissipative quasi-geostrophic equations. Zbl 1157.35456
Dong, Hongjie; Li, Dong
23
2008
On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces. Zbl 1193.35151
Dong, Hongjie; Li, Dong
22
2010
Blow up for the generalized surface quasi-geostrophic equation with supercritical dissipation. Zbl 1172.86301
Li, Dong; Rodrigo, Jose
21
2009
Sharp one component regularity for Navier-Stokes. Zbl 1412.76021
Han, Bin; Lei, Zhen; Li, Dong; Zhao, Na
21
2019
Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313
Li, Dong; Li, Tong
19
2011
Finite time singularities for a class of generalized surface quasi-geostrophic equations. Zbl 1143.35084
Dong, Hongjie; Li, Dong
16
2008
On a one-dimensional nonlocal flux with fractional dissipation. Zbl 1231.35172
Li, Dong; Rodrigo, José L.
16
2011
Gradient bounds for a thin film epitaxy equation. Zbl 1364.35115
Li, Dong; Qiao, Zhonghua; Tang, Tao
15
2017
Existence theorems for the 2D quasi-geostrophic equation with plane wave initial conditions. Zbl 1177.35170
Li, Dong
14
2009
Wellposedness and regularity of solutions of an aggregation equation. Zbl 1197.35012
Li, Dong; Rodrigo, José L.
13
2010
Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions. Zbl 1162.35070
Li, Dong; Zhang, Xiaoyi
13
2009
On a frequency localized Bernstein inequality and some generalized Poincaré-type inequalities. Zbl 1377.35271
Li, Dong
13
2013
Effective maximum principles for spectral methods. Zbl 1499.65564
Li, Dong
13
2021
On a one-dimensional \(\alpha\)-patch model with nonlocal drift and fractional dissipation. Zbl 1302.35334
Dong, Hongjie; Li, Dong
13
2014
Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS. Zbl 1184.35293
Killip, Rowan; Li, Dong; Visan, Monica; Zhang, Xiaoyi
12
2009
On the Euler-Poincaré equation with non-zero dispersion. Zbl 1452.35153
Li, Dong; Yu, Xinwei; Zhai, Zhichun
11
2013
Stability and convergence of Strang splitting. I: Scalar Allen-Cahn equation. Zbl 07527714
Li, Dong; Quan, Chaoyu; Xu, Jiao
11
2022
Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials. Zbl 1488.65432
Li, Dong; Tang, Tao
11
2021
Dynamics for the energy critical nonlinear wave equation in high dimensions. Zbl 1221.35248
Li, Dong; Zhang, Xiaoyi
10
2011
The Andersen thermostat in molecular dynamics. Zbl 1148.82019
E, Weinan; Li, Dong
10
2008
Quadratic lower bound for permanent vs. determinant in any characteristic. Zbl 1204.68100
Cai, Jin-Yi; Chen, Xi; Li, Dong
8
2010
Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations. Zbl 1337.35136
Le Coz, Stefan; Li, Dong; Tsai, Tai-Peng
8
2015
Complex singularities of solutions of some 1D hydrodynamic models. Zbl 1143.76391
Li, Dong; Sinai, Ya. G.
8
2008
Galilean boost and non-uniform continuity for incompressible Euler. Zbl 1431.35114
Bourgain, Jean; Li, Dong
8
2019
The BDF3/EP3 scheme for MBE with no slope selection is stable. Zbl 1507.65141
Li, Dong; Quan, Chaoyu; Yang, Wen
8
2021
Complex singularities of the Burgers system and renormalization group method. Zbl 1171.35106
Li, Dong; Sinai, Ya. G.
7
2008
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions \(d \geqslant 2\). Zbl 1238.35146
Li, Dong; Zhang, XiaoYi
7
2012
On some Liouville type theorems for the compressible Navier-Stokes. Zbl 1304.35560
Li, Dong; Yu, Xinwei
7
2014
Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations. Zbl 1477.35272
Cheng, Xinyu; Kwon, Hyunju; Li, Dong
7
2021
On a nonlocal aggregation model with nonlinear diffusion. Zbl 1209.35070
Li, Dong; Zhang, Xiaoyi
6
2010
Navier-Stokes system on the flat cylinder and unit square with slip boundary conditions. Zbl 1189.35248
Dinaburg, Efim; Li, Dong; Sinai, Yakov G.
6
2010
A quadratic lower bound for the permanent and determinant problem over any characteristic \(\neq 2\). Zbl 1231.68288
Cai, Jin-Yi; Chen, Xi; Li, Dong
6
2008
On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation. Zbl 1159.35067
Li, Dong; Zhang, Xiaoyi
6
2009
On the rate of convergence to equilibrium of the Andersen thermostat in molecular dynamics. Zbl 1128.82014
Li, Dong
6
2007
Singularities of complex-valued solutions of the two-dimensional Burgers system. Zbl 1309.35113
Li, Dong; Sinai, Yakov G.
6
2010
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation. Zbl 07473344
Li, Dong; Quan, Chaoyu; Tang, Tao
6
2022
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization. Zbl 1485.94015
Cai, Jian-Feng; Huang, Meng; Li, Dong; Wang, Yang
6
2022
On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics. Zbl 1292.35165
Li, Dong; Miao, Changxing; Xue, Liutang
6
2014
On a nonlinear recurrent relation. Zbl 1181.35174
Li, Dong
5
2009
Small \(\dot{B}^{-1}_{\infty,\infty}\) implies regularity. Zbl 1361.35145
Hmidi, Taoufik; Li, Dong
5
2017
A blow-up result for dyadic models of the Euler equations. Zbl 1322.34021
Jeong, In-Jee; Li, Dong
5
2015
Remarks on a nonlocal transport. Zbl 1448.35401
Li, Dong; Rodrigo, Jose
5
2020
Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations. Zbl 07518061
Li, Dong; Quan, Chaoyu; Xu, Jiao
5
2022
Strong ill-posedness of the 3D incompressible Euler equation in borderline spaces. Zbl 1490.35257
Bourgain, Jean; Li, Dong
5
2021
Regularity of almost periodic modulo scaling solutions for mass-critical NLS and applications. Zbl 1225.35220
Li, Dong; Zhang, Xiaoyi
4
2010
Asymptotic behavior of generalized convolutions. Zbl 1229.47089
Li, D.; Sinai, Ya. G.
4
2009
Nonsymmetric bifurcations of solutions of the 2D Navier-Stokes system. Zbl 1237.35128
Li, Dong; Sinai, Yakov G.
4
2012
A regularization-free approach to the Cahn-Hilliard equation with logarithmic potentials. Zbl 1490.35331
Li, Dong
4
2022
Global well-posedness and scattering for defocusing energy-critical NLS in the exterior of balls with radial data. Zbl 1307.35281
Li, Dong; Smith, Hart; Zhang, Xiaoyi
4
2012
Why large time-stepping methods for the Cahn-Hilliard equation is stable. Zbl 1497.35378
Li, Dong
4
2022
Dynamics of a delayed Lotka-Volterra competition model with directed dispersal. Zbl 1517.35122
Ma, Li; Gao, Jianping; Li, Dong; Lian, Wenyan
4
2023
Blowups of complex-valued solutions for some hydrodynamic models. Zbl 1205.35227
Li, D.; Sinai, Ya. G.
3
2010
Symmetric radial decreasing rearrangement can increase the fractional Gagliardo norm in domains. Zbl 1426.26049
Li, Dong; Wang, Ke
3
2019
Global wellposedness for 2D quasilinear wave without Lorentz. Zbl 1490.35230
Cheng, Xinyu; Li, Dong; Xu, Jiao; Zha, Dongbing
3
2022
Uniform estimates for 2D quasilinear wave. Zbl 1518.35163
Li, Dong
3
2023
Global well-posedness of hedgehog solutions for the \((3+1)\) Skyrme model. Zbl 1473.35469
Li, Dong
3
2021
Stability of solutions for nonlinear Schrödinger equations in critical spaces. Zbl 1216.35143
Li, Dong; Zhang, XiaoYi
2
2011
On the rigidity of minimal mass solutions to the focusing mass-critical NLS for rough initial data. Zbl 1177.35222
Li, Dong; Zhang, Xiaoyi
2
2009
New limiting distributions for the Möbius function. Zbl 1318.11100
Avdeeva, Maria; Li, Dong; Sinai, Yakov G.
2
2014
The operator-splitting method for Cahn-Hilliard is stable. Zbl 07454945
Li, Dong; Quan, Chaoyu
2
2022
Dynamics of one-fold symmetric patches for the aggregation equation and collapse to singular measure. Zbl 1433.35422
Hmidi, Taoufik; Li, Dong
2
2019
An improved gradient bound for 2D MBE. Zbl 1452.35050
Li, Dong; Wang, Fan; Yang, Kai
2
2020
On a parabolic sine-Gordon model. Zbl 1499.65379
Cheng, Xinyu; Li, Dong; Quan, Chaoyu; Yang, Wen
2
2021
The global landscape of phase retrieval. I: Perturbed amplitude models. Zbl 1499.94017
Cai, Jian-Feng; Huang, Meng; Li, Dong; Wang, Yang
2
2021
The global landscape of phase retrieval. II: Quotient intensity models. Zbl 1499.94018
Cai, Jian-Feng; Huang, Meng; Li, Dong; Wang, Yang
2
2022
Asymptotic behaviour of time stepping methods for phase field models. Zbl 1468.35166
Cheng, Xinyu; Li, Dong; Promislow, Keith; Wetton, Brian
2
2021
Energy-dissipation for time-fractional phase-field equations. Zbl 1498.35584
Li, Dong; Quan, Chaoyu; Xu, Jiao
2
2022
Smoothing estimates of the radial Schrödinger propagator in dimensions \(n\geq 2\). Zbl 1240.35514
Li, Dong; Zhang, Xiaoyi
1
2010
On the focusing mass critical problem in six dimensions with splitting spherically symmetric initial data. Zbl 1220.35162
Li, Dong; Zhang, Xiaoyi
1
2010
A new boundary problem for the two-dimensional Navier-Stokes system. Zbl 1168.76012
Dinaburg, Efim; Li, Dong; Sinai, Yakov G.
1
2009
On a generalized maximum principle for a transport-diffusion model with \(\log\)-modulated fractional dissipation. Zbl 1304.35538
Dong, Hongjie; Li, Dong
1
2014
Bifurcations of solutions of the 2-dimensional Navier-Stokes system. Zbl 1346.37049
Li, Dong; Sinai, Yakov G.
1
2012
Global \(\dot H^1 \cap \dot H^{-1}\) solutions to a logarithmically regularized \(2D\) Euler equation. Zbl 1320.35268
Dong, Hongjie; Li, Dong
1
2015
A regularity upgrade of pressure. Zbl 1423.35300
Li, Dong; Zhang, Xiaoyi
1
2019
Remarks on the Bernstein inequality for higher order operators and related results. Zbl 1505.35303
Li, Dong; Sire, Yannick
1
2023
The Abel Prize 2013–2017. Zbl 1419.01001
1
2019
Dynamics of a delayed Lotka-Volterra competition model with directed dispersal. Zbl 1517.35122
Ma, Li; Gao, Jianping; Li, Dong; Lian, Wenyan
4
2023
Uniform estimates for 2D quasilinear wave. Zbl 1518.35163
Li, Dong
3
2023
Remarks on the Bernstein inequality for higher order operators and related results. Zbl 1505.35303
Li, Dong; Sire, Yannick
1
2023
Stability and convergence of Strang splitting. I: Scalar Allen-Cahn equation. Zbl 07527714
Li, Dong; Quan, Chaoyu; Xu, Jiao
11
2022
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation. Zbl 07473344
Li, Dong; Quan, Chaoyu; Tang, Tao
6
2022
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization. Zbl 1485.94015
Cai, Jian-Feng; Huang, Meng; Li, Dong; Wang, Yang
6
2022
Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations. Zbl 07518061
Li, Dong; Quan, Chaoyu; Xu, Jiao
5
2022
A regularization-free approach to the Cahn-Hilliard equation with logarithmic potentials. Zbl 1490.35331
Li, Dong
4
2022
Why large time-stepping methods for the Cahn-Hilliard equation is stable. Zbl 1497.35378
Li, Dong
4
2022
Global wellposedness for 2D quasilinear wave without Lorentz. Zbl 1490.35230
Cheng, Xinyu; Li, Dong; Xu, Jiao; Zha, Dongbing
3
2022
The operator-splitting method for Cahn-Hilliard is stable. Zbl 07454945
Li, Dong; Quan, Chaoyu
2
2022
The global landscape of phase retrieval. II: Quotient intensity models. Zbl 1499.94018
Cai, Jian-Feng; Huang, Meng; Li, Dong; Wang, Yang
2
2022
Energy-dissipation for time-fractional phase-field equations. Zbl 1498.35584
Li, Dong; Quan, Chaoyu; Xu, Jiao
2
2022
Effective maximum principles for spectral methods. Zbl 1499.65564
Li, Dong
13
2021
Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials. Zbl 1488.65432
Li, Dong; Tang, Tao
11
2021
The BDF3/EP3 scheme for MBE with no slope selection is stable. Zbl 1507.65141
Li, Dong; Quan, Chaoyu; Yang, Wen
8
2021
Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations. Zbl 1477.35272
Cheng, Xinyu; Kwon, Hyunju; Li, Dong
7
2021
Strong ill-posedness of the 3D incompressible Euler equation in borderline spaces. Zbl 1490.35257
Bourgain, Jean; Li, Dong
5
2021
Global well-posedness of hedgehog solutions for the \((3+1)\) Skyrme model. Zbl 1473.35469
Li, Dong
3
2021
On a parabolic sine-Gordon model. Zbl 1499.65379
Cheng, Xinyu; Li, Dong; Quan, Chaoyu; Yang, Wen
2
2021
The global landscape of phase retrieval. I: Perturbed amplitude models. Zbl 1499.94017
Cai, Jian-Feng; Huang, Meng; Li, Dong; Wang, Yang
2
2021
Asymptotic behaviour of time stepping methods for phase field models. Zbl 1468.35166
Cheng, Xinyu; Li, Dong; Promislow, Keith; Wetton, Brian
2
2021
Remarks on a nonlocal transport. Zbl 1448.35401
Li, Dong; Rodrigo, Jose
5
2020
An improved gradient bound for 2D MBE. Zbl 1452.35050
Li, Dong; Wang, Fan; Yang, Kai
2
2020
On Kato-Ponce and fractional Leibniz. Zbl 1412.35261
Li, Dong
78
2019
Sharp one component regularity for Navier-Stokes. Zbl 1412.76021
Han, Bin; Lei, Zhen; Li, Dong; Zhao, Na
21
2019
Galilean boost and non-uniform continuity for incompressible Euler. Zbl 1431.35114
Bourgain, Jean; Li, Dong
8
2019
Symmetric radial decreasing rearrangement can increase the fractional Gagliardo norm in domains. Zbl 1426.26049
Li, Dong; Wang, Ke
3
2019
Dynamics of one-fold symmetric patches for the aggregation equation and collapse to singular measure. Zbl 1433.35422
Hmidi, Taoufik; Li, Dong
2
2019
A regularity upgrade of pressure. Zbl 1423.35300
Li, Dong; Zhang, Xiaoyi
1
2019
The Abel Prize 2013–2017. Zbl 1419.01001
1
2019
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
89
2017
On the stabilization size of semi-implicit Fourier-spectral methods for 3D Cahn-Hilliard equations. Zbl 1387.35495
Li, Dong; Qiao, Zhonghua
25
2017
Gradient bounds for a thin film epitaxy equation. Zbl 1364.35115
Li, Dong; Qiao, Zhonghua; Tang, Tao
15
2017
Small \(\dot{B}^{-1}_{\infty,\infty}\) implies regularity. Zbl 1361.35145
Hmidi, Taoufik; Li, Dong
5
2017
Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations. Zbl 1346.35162
Li, Dong; Qiao, Zhonghua; Tang, Tao
96
2016
Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces. Zbl 1320.35266
Bourgain, Jean; Li, Dong
65
2015
Quantitative decay of a one-dimensional hybrid chemotaxis model with large data. Zbl 1327.35166
Li, Dong; Pan, Ronghua; Zhao, Kun
41
2015
Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces. Zbl 1480.35316
Bourgain, Jean; Li, Dong
40
2015
Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations. Zbl 1337.35136
Le Coz, Stefan; Li, Dong; Tsai, Tai-Peng
8
2015
A blow-up result for dyadic models of the Euler equations. Zbl 1322.34021
Jeong, In-Jee; Li, Dong
5
2015
Global \(\dot H^1 \cap \dot H^{-1}\) solutions to a logarithmically regularized \(2D\) Euler equation. Zbl 1320.35268
Dong, Hongjie; Li, Dong
1
2015
On an endpoint Kato-Ponce inequality. Zbl 1340.42021
Bourgain, Jean; Li, Dong
43
2014
Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions. Zbl 1298.35150
Lei, Zhen; Li, Dong; Zhang, Xiaoyi
37
2014
The Cauchy problem for the two dimensional Euler-Poisson system. Zbl 1308.35220
Li, Dong; Wu, Yifei
27
2014
Smooth global solutions for the two-dimensional Euler Poisson system. Zbl 1298.35148
Jang, Juhi; Li, Dong; Zhang, Xiaoyi
23
2014
On a one-dimensional \(\alpha\)-patch model with nonlocal drift and fractional dissipation. Zbl 1302.35334
Dong, Hongjie; Li, Dong
13
2014
On some Liouville type theorems for the compressible Navier-Stokes. Zbl 1304.35560
Li, Dong; Yu, Xinwei
7
2014
On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics. Zbl 1292.35165
Li, Dong; Miao, Changxing; Xue, Liutang
6
2014
New limiting distributions for the Möbius function. Zbl 1318.11100
Avdeeva, Maria; Li, Dong; Sinai, Yakov G.
2
2014
On a generalized maximum principle for a transport-diffusion model with \(\log\)-modulated fractional dissipation. Zbl 1304.35538
Dong, Hongjie; Li, Dong
1
2014
Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity. Zbl 1302.35319
Li, Dong; Xu, Xiaojing
30
2013
Stability and unconditional uniqueness of solutions for energy critical wave equations in high dimensions. Zbl 1332.35007
Bulut, Aynur; Czubak, Magdalena; Li, Dong; Pavlović, Nataša; Zhang, Xiaoyi
26
2013
On a frequency localized Bernstein inequality and some generalized Poincaré-type inequalities. Zbl 1377.35271
Li, Dong
13
2013
On the Euler-Poincaré equation with non-zero dispersion. Zbl 1452.35153
Li, Dong; Yu, Xinwei; Zhai, Zhichun
11
2013
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions \(d \geqslant 2\). Zbl 1238.35146
Li, Dong; Zhang, XiaoYi
7
2012
Nonsymmetric bifurcations of solutions of the 2D Navier-Stokes system. Zbl 1237.35128
Li, Dong; Sinai, Yakov G.
4
2012
Global well-posedness and scattering for defocusing energy-critical NLS in the exterior of balls with radial data. Zbl 1307.35281
Li, Dong; Smith, Hart; Zhang, Xiaoyi
4
2012
Bifurcations of solutions of the 2-dimensional Navier-Stokes system. Zbl 1346.37049
Li, Dong; Sinai, Yakov G.
1
2012
On a hyperbolic-parabolic system modeling chemotaxis. Zbl 1230.35070
Li, Dong; Li, Tong; Zhao, Kun
65
2011
Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313
Li, Dong; Li, Tong
19
2011
On a one-dimensional nonlocal flux with fractional dissipation. Zbl 1231.35172
Li, Dong; Rodrigo, José L.
16
2011
Dynamics for the energy critical nonlinear wave equation in high dimensions. Zbl 1221.35248
Li, Dong; Zhang, Xiaoyi
10
2011
Stability of solutions for nonlinear Schrödinger equations in critical spaces. Zbl 1216.35143
Li, Dong; Zhang, XiaoYi
2
2011
Exploding solutions for a nonlocal quadratic evolution problem. Zbl 1195.35182
Li, Dong; Rodrigo, José L.; Zhang, Xiaoyi
35
2010
On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces. Zbl 1193.35151
Dong, Hongjie; Li, Dong
22
2010
Wellposedness and regularity of solutions of an aggregation equation. Zbl 1197.35012
Li, Dong; Rodrigo, José L.
13
2010
Quadratic lower bound for permanent vs. determinant in any characteristic. Zbl 1204.68100
Cai, Jin-Yi; Chen, Xi; Li, Dong
8
2010
On a nonlocal aggregation model with nonlinear diffusion. Zbl 1209.35070
Li, Dong; Zhang, Xiaoyi
6
2010
Navier-Stokes system on the flat cylinder and unit square with slip boundary conditions. Zbl 1189.35248
Dinaburg, Efim; Li, Dong; Sinai, Yakov G.
6
2010
Singularities of complex-valued solutions of the two-dimensional Burgers system. Zbl 1309.35113
Li, Dong; Sinai, Yakov G.
6
2010
Regularity of almost periodic modulo scaling solutions for mass-critical NLS and applications. Zbl 1225.35220
Li, Dong; Zhang, Xiaoyi
4
2010
Blowups of complex-valued solutions for some hydrodynamic models. Zbl 1205.35227
Li, D.; Sinai, Ya. G.
3
2010
Smoothing estimates of the radial Schrödinger propagator in dimensions \(n\geq 2\). Zbl 1240.35514
Li, Dong; Zhang, Xiaoyi
1
2010
On the focusing mass critical problem in six dimensions with splitting spherically symmetric initial data. Zbl 1220.35162
Li, Dong; Zhang, Xiaoyi
1
2010
On the crystallization of 2D hexagonal lattices. Zbl 1180.82191
E, Weinan; Li, Dong
42
2009
The focusing energy-critical Hartree equation. Zbl 1155.35421
Li, Dong; Miao, Changxing; Zhang, Xiaoyi
37
2009
Finite time singularities and global well-posedness for fractal Burgers equations. Zbl 1166.35030
Dong, Hongjie; Du, Dapeng; Li, Dong
37
2009
Finite-time singularities of an aggregation equation in \(\mathbb R^n\) with fractional dissipation. Zbl 1178.35083
Li, Dong; Rodrigo, Jose
30
2009
Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations. Zbl 1173.35626
Dong, Hongjie; Li, Dong
27
2009
Refined blowup criteria and nonsymmetric blowup of an aggregation equation. Zbl 1168.35037
Li, Dong; Rodrigo, Jose L.
25
2009
Blow up for the generalized surface quasi-geostrophic equation with supercritical dissipation. Zbl 1172.86301
Li, Dong; Rodrigo, Jose
21
2009
Existence theorems for the 2D quasi-geostrophic equation with plane wave initial conditions. Zbl 1177.35170
Li, Dong
14
2009
Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions. Zbl 1162.35070
Li, Dong; Zhang, Xiaoyi
13
2009
Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS. Zbl 1184.35293
Killip, Rowan; Li, Dong; Visan, Monica; Zhang, Xiaoyi
12
2009
On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation. Zbl 1159.35067
Li, Dong; Zhang, Xiaoyi
6
2009
On a nonlinear recurrent relation. Zbl 1181.35174
Li, Dong
5
2009
Asymptotic behavior of generalized convolutions. Zbl 1229.47089
Li, D.; Sinai, Ya. G.
4
2009
On the rigidity of minimal mass solutions to the focusing mass-critical NLS for rough initial data. Zbl 1177.35222
Li, Dong; Zhang, Xiaoyi
2
2009
A new boundary problem for the two-dimensional Navier-Stokes system. Zbl 1168.76012
Dinaburg, Efim; Li, Dong; Sinai, Yakov G.
1
2009
Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation. Zbl 1138.35381
Li, Dong; Rodrigo, Jose
37
2008
Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. Zbl 1151.35073
Li, Dong; Sinai, Ya. G.
32
2008
Spatial analyticity of the solutions to the subcritical dissipative quasi-geostrophic equations. Zbl 1157.35456
Dong, Hongjie; Li, Dong
23
2008
Finite time singularities for a class of generalized surface quasi-geostrophic equations. Zbl 1143.35084
Dong, Hongjie; Li, Dong
16
2008
The Andersen thermostat in molecular dynamics. Zbl 1148.82019
E, Weinan; Li, Dong
10
2008
Complex singularities of solutions of some 1D hydrodynamic models. Zbl 1143.76391
Li, Dong; Sinai, Ya. G.
8
2008
Complex singularities of the Burgers system and renormalization group method. Zbl 1171.35106
Li, Dong; Sinai, Ya. G.
7
2008
A quadratic lower bound for the permanent and determinant problem over any characteristic \(\neq 2\). Zbl 1231.68288
Cai, Jin-Yi; Chen, Xi; Li, Dong
6
2008
On the rate of convergence to equilibrium of the Andersen thermostat in molecular dynamics. Zbl 1128.82014
Li, Dong
6
2007
Trigonometric spectral collocation methods on lattices. Zbl 1036.65093
Li, Dong; Hickernell, Fred J.
24
2003
all top 5

Cited by 1,243 Authors

61 Li, Dong
24 Wang, Cheng
22 Zhao, Kun
20 Wang, Zhian
16 Jeong, In-Jee
15 Granero Belinchón, Rafael
15 Qiao, Zhonghua
14 Chen, Wenbin
14 Dong, Hongjie
14 Sinaĭ, Yakov Grigor’evich
14 Wise, Steven M.
13 Wu, Jiahong
11 Bétermin, Laurent
11 Liu, Zuhan
11 Stefanelli, Ulisse
10 Friedrich, Manuel
10 Kenig, Carlos Eduardo
10 Yang, Xiaofeng
10 Zhang, Xiaoyi
9 Duyckaerts, Thomas
9 Elgindi, Tarek Mohamed
9 Gong, Yuezheng
9 Li, Jinlu
9 Li, Xiao
9 Zhao, Jia
8 Ferreira, Lucas Catão de Freitas
8 Kämmerer, Lutz
8 Liu, Qiao
8 Merle, Frank
8 Miao, Changxing
8 Quan, Chaoyu
8 Yu, Yanghai
8 Zhou, Ling
7 Bae, Hantaek
7 Biswas, Animikh
7 Dai, Wei
7 Li, Qi
7 Li, Tong
7 Nuyens, Dirk
7 Peng, Hongyun
7 Rodrigo, José Luis
7 Wang, Changyou
7 Wang, Xiaoming
7 Yin, Zhaoyang
7 Zhang, Zhengru
6 Bian, Dongfen
6 Burczak, Jan
6 Chae, Dongho
6 Chen, Jiecheng
6 Gao, Yanfang
6 Hou, Qianqian
6 Kuo, Frances Y.
6 Lee, Yongki
6 Li, Jingyu
6 Martinez, Vincent R.
6 Potts, Daniel
6 Qin, Guolin
6 Tang, Tao
6 Volkmer, Toni
6 Wu, Xinfeng
6 Xu, Xiaojing
6 Yang, Kai
6 Ye, Zhuan
6 Zhu, Weipeng
5 Biler, Piotr
5 Cao, Daomin
5 Carrillo de la Plata, José Antonio
5 Cheng, Kelong
5 Constantin, Peter
5 Cordoba, Diego
5 Guo, Zihua
5 Hong, Qi
5 Jiang, Kerui
5 Ju, Lili
5 Karch, Grzegorz
5 Kim, Junseok
5 Kreutz, Leonard C.
5 Laurent, Thomas
5 Lazar, Omar
5 Liu, Hailiang
5 Liu, Zhengrong
5 Mei, Liquan
5 Murphy, Jason
5 Pausader, Benoît
5 Piovano, Paolo
5 Pu, Xueke
5 Qian, Chenyin
5 Qian, Xu
5 Riaño, Oscar G.
5 Shen, Jie
5 Skalák, Zdeněk
5 Song, Songhe
5 Vicol, Vlad C.
5 Wang, Qi
5 Xu, Guixiang
5 Xue, Liutang
5 Yamamoto, Masakazu
5 Yang, Jiang
5 Yoneda, Tsuyoshi
5 Yu, Xinwei
...and 1,143 more Authors
all top 5

Cited in 199 Serials

84 Journal of Differential Equations
34 Archive for Rational Mechanics and Analysis
34 Communications in Mathematical Physics
29 Journal of Mathematical Analysis and Applications
28 Nonlinearity
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
28 Journal of Scientific Computing
26 Journal of Computational Physics
26 Discrete and Continuous Dynamical Systems
23 Journal of Functional Analysis
23 SIAM Journal on Mathematical Analysis
22 Journal of Mathematical Physics
22 Advances in Mathematics
21 Journal of Mathematical Fluid Mechanics
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
16 Mathematical Methods in the Applied Sciences
16 Nonlinear Analysis. Real World Applications
14 Computers & Mathematics with Applications
13 Journal of Statistical Physics
13 Journal of Computational and Applied Mathematics
13 Transactions of the American Mathematical Society
13 Applied Mathematics Letters
13 Journal of Nonlinear Science
13 Discrete and Continuous Dynamical Systems. Series B
12 Applied Numerical Mathematics
12 Communications on Pure and Applied Analysis
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Mathematics of Computation
11 Physica D
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Calculus of Variations and Partial Differential Equations
11 Communications in Computational Physics
10 Annals of PDE
9 SIAM Journal on Numerical Analysis
9 Science China. Mathematics
8 Acta Applicandae Mathematicae
8 Acta Mathematica Sinica. English Series
8 Journal of Evolution Equations
7 Applicable Analysis
7 Proceedings of the American Mathematical Society
7 Revista Matemática Iberoamericana
7 SIAM Journal on Scientific Computing
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Computer Methods in Applied Mechanics and Engineering
6 Journal of Complexity
6 The Journal of Fourier Analysis and Applications
6 Communications in Nonlinear Science and Numerical Simulation
6 Discrete and Continuous Dynamical Systems. Series S
5 Chinese Annals of Mathematics. Series B
5 The Journal of Geometric Analysis
5 Communications in Partial Differential Equations
5 Communications in Contemporary Mathematics
5 Kinetic and Related Models
5 Advances in Applied Mathematics and Mechanics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Mathematische Nachrichten
4 Memoirs of the American Mathematical Society
4 Monatshefte für Mathematik
4 Computational Complexity
4 Potential Analysis
4 Journal of the European Mathematical Society (JEMS)
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of Hyperbolic Differential Equations
4 Boundary Value Problems
4 Analysis and Mathematical Physics
4 Annals of Applied Mathematics
3 Journal of Fluid Mechanics
3 Indiana University Mathematics Journal
3 Mathematische Annalen
3 Mathematics and Computers in Simulation
3 Mathematische Zeitschrift
3 Journal of the American Mathematical Society
3 Numerical Algorithms
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Regular and Chaotic Dynamics
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Analysis & PDE
3 Numerical Mathematics: Theory, Methods and Applications
3 Sampling Theory, Signal Processing, and Data Analysis
2 Communications on Pure and Applied Mathematics
2 Inverse Problems
2 Applied Mathematics and Computation
2 Applied Mathematics and Optimization
2 Archiv der Mathematik
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Numerische Mathematik
2 Studies in Applied Mathematics
2 Constructive Approximation
2 Numerical Methods for Partial Differential Equations
2 Geometric and Functional Analysis. GAFA
2 Applied Mathematical Modelling
2 SIAM Review
2 Journal of Dynamics and Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Vietnam Journal of Mathematics
...and 99 more Serials
all top 5

Cited in 47 Fields

889 Partial differential equations (35-XX)
354 Fluid mechanics (76-XX)
219 Numerical analysis (65-XX)
104 Biology and other natural sciences (92-XX)
80 Statistical mechanics, structure of matter (82-XX)
68 Harmonic analysis on Euclidean spaces (42-XX)
41 Mechanics of deformable solids (74-XX)
41 Geophysics (86-XX)
39 Real functions (26-XX)
30 Operator theory (47-XX)
26 Dynamical systems and ergodic theory (37-XX)
26 Probability theory and stochastic processes (60-XX)
24 Functional analysis (46-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
20 Computer science (68-XX)
15 Approximations and expansions (41-XX)
15 Quantum theory (81-XX)
13 Ordinary differential equations (34-XX)
13 Operations research, mathematical programming (90-XX)
10 Integral equations (45-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Statistics (62-XX)
9 Optics, electromagnetic theory (78-XX)
8 Potential theory (31-XX)
7 Information and communication theory, circuits (94-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Functions of a complex variable (30-XX)
6 Integral transforms, operational calculus (44-XX)
6 Convex and discrete geometry (52-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Mechanics of particles and systems (70-XX)
4 Relativity and gravitational theory (83-XX)
4 Astronomy and astrophysics (85-XX)
3 Algebraic geometry (14-XX)
3 Group theory and generalizations (20-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Differential geometry (53-XX)
3 Systems theory; control (93-XX)
2 Combinatorics (05-XX)
2 Number theory (11-XX)
2 Field theory and polynomials (12-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year