Edit Profile (opens in new tab) Li, Dong Co-Author Distance Author ID: li.dong Published as: Li, Dong; Li, D. Homepage: https://icm.sustech.edu.cn/lidong/ External Links: MGP · ORCID · Google Scholar · ResearchGate Documents Indexed: 141 Publications since 2003, including 14 Additional arXiv Preprints 1 Further Contribution Co-Authors: 59 Co-Authors with 115 Joint Publications 2,636 Co-Co-Authors 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 all top 5 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 all top 5 Fields 101 Partial differential equations (35-XX) 32 Fluid mechanics (76-XX) 17 Numerical analysis (65-XX) 9 Geophysics (86-XX) 9 Biology and other natural sciences (92-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Probability theory and stochastic processes (60-XX) 5 Real functions (26-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 4 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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