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Author ID: li.dong Recent zbMATH articles by "Li, Dong"
Published as: Li, Dong; Li, D.
Homepage: https://facultyprofiles.ust.hk/profiles.php?profile=dong-li-madli
External Links: MGP · ORCID · dblp
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Co-Authors

13 single-authored
22 Zhang, Xiaoyi
16 Sinaĭ, Yakov Grigor’evich
8 Dong, Hongjie
8 Rodrigo, José Luis
6 Quan, Chaoyu
5 Bourgain, Jean
5 Cheng, Xinyu
5 Guo, Shangjiang
4 Qiao, Zhonghua
4 Zhao, Kun
3 Cai, Jian-Feng
3 Dinaburg, Efim I.
3 Fan, Jianren
3 Guo, Xu
3 Huang, Meng
3 Luo, Kun
3 Miao, Changxing
3 Tang, Tao
3 Xu, Jiao
3 Zhang, Weisheng
2 Avdeeva, Maria
2 Boldrighini, Carlo
2 Cai, Jin-Yi
2 Cao, Jinde
2 Chen, Xi
2 E, Weinan
2 Hmidi, Taoufik
2 Kang, Zhaomin
2 Lei, Zhen
2 Li, Tong
2 Tang, Shengqiang
2 Wang, Yuangan
2 Wetton, Brian R.
2 Yu, Xinwei
1 Bi, Junying
1 Boccuzzi, V.
1 Bulut, Aynur
1 Bunimovich, Leonid Abramovich
1 Cellarosi, Francesco
1 Cheng, Shouguo
1 Chernov, Nikolai Ivanovich
1 Cohen, Albert
1 Cruz, José M. T. S.
1 Czubak, Magdalena
1 Dai, Shu
1 De Lellis, Camillo
1 Deligne, Pierre René
1 Di Rienzo, Luca
1 Ding, Jian
1 Dong, Chuanwen
1 Du, Dapeng
1 Du, Zhuoyang
1 Du, Zongliang
1 Fang, Xiunan
1 Feng, Yuanjun
1 Gong, Yuchen
1 Guan, Li
1 Guo, Xiuping
1 Gurevich, B. M.
1 He, Xiaolong
1 He, Zhangming
1 Hemeda, A. A.
1 Hickernell, Fred J.
1 Holden, Helge
1 Hou, Bowen
1 Hu, Lifen
1 Huang, Jinying
1 Illusie, Luc
1 Jang, Juhi
1 Jeong, In-Jee
1 Jin, Yuzhen
1 Kang, Xinmei
1 Khanin, Konstantin M.
1 Killip, Rowan
1 Kiss, P.
1 Kohn, Robert Vita
1 Kwon, Hyunju
1 Labropulu, Fotini
1 Le Coz, Stefan
1 Li, Qi
1 Li, Xiaofeng
1 Li, Xinping
1 Liu, Chunyan
1 Liu, Huiqing
1 Liu, Shan
1 Liu, Shulin
1 Liu, Yang
1 Luo, Xiaohui
1 Masoumi, Amir H.
1 Meyer, Yves F.
1 Nasar, Sylvia
1 Nash, John Forbes jun.
1 Nirenberg, Louis
1 Palko, J.
1 Pan, Ronghua
1 Pavlović, Nataša
1 Peng, Hong
1 Pesin, Yakov Borisovich
1 Piene, Ragni
1 Pop, Ioan
...and 64 more Co-Authors
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Serials

9 Journal of Statistical Physics
6 Communications in Mathematical Physics
5 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 Dynamics of Partial Differential Equations
3 Archive for Rational Mechanics and Analysis
3 Journal of Computational Physics
3 Revista Matemática Iberoamericana
3 European Journal of Operational Research
3 Mathematical Problems in Engineering
3 Communications in Contemporary Mathematics
3 Mathematical Biosciences and Engineering
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Fluid Mechanics
2 Nonlinearity
2 Mathematics of Computation
2 Chaos, Solitons and Fractals
2 Pacific Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Transactions 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 in Mathematical Sciences
2 Analysis & PDE
2 Science China. Mathematics
1 Acta Mechanica
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 International Journal of General Systems
1 International Journal of Non-Linear Mechanics
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Canadian Journal of Mathematics
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 International Journal for Numerical Methods in Engineering
1 Inventiones Mathematicae
1 Journal of Econometrics
1 Journal of Functional Analysis
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 Mathematics in Practice and Theory
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Econometric Reviews
1 Computational Mechanics
1 Applied Mathematics Letters
1 Forum Mathematicum
1 Annals of Operations Research
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 Applied Mathematical Modelling
1 Communications in Partial Differential Equations
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Computational Complexity
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Differential Equations (EJDE)
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Soft Computing
1 Journal of Mathematical Fluid Mechanics
1 New Journal of Physics
1 International Journal of Nonlinear Sciences 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 Journal of Jilin University. Science Edition
1 Communications on Pure and Applied Analysis
1 Inverse Problems in Science and Engineering
1 Networks and Heterogeneous Media
1 Numerical Mathematics: Theory, Methods and Applications
1 Journal of Chongqing Normal University. Natural Science
1 Moscow Journal of Combinatorics and Number Theory
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 IEEE Transactions on Circuits and Systems I: Regular Papers
1 The Abel Prize

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 1,326 times in 801 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
67
2016
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
67
2017
Information entropy, rough entropy and knowledge granulation in incomplete information systems. Zbl 1115.68130
Liang, J.; Shi, Z.; Li, D.; Wierman, M. J.
62
2006
On a hyperbolic-parabolic system modeling chemotaxis. Zbl 1230.35070
Li, Dong; Li, Tong; Zhao, Kun
53
2011
Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces. Zbl 1320.35266
Bourgain, Jean; Li, Dong
47
2015
On Kato-Ponce and fractional Leibniz. Zbl 1412.35261
Li, Dong
46
2019
On the crystallization of 2D hexagonal lattices. Zbl 1180.82191
E, Weinan; Li, Dong
38
2009
Quantitative decay of a one-dimensional hybrid chemotaxis model with large data. Zbl 1327.35166
Li, Dong; Pan, Ronghua; Zhao, Kun
33
2015
Exploding solutions for a nonlocal quadratic evolution problem. Zbl 1195.35182
Li, Dong; Rodrigo, José L.; Zhang, Xiaoyi
32
2010
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
32
2014
On an endpoint Kato-Ponce inequality. Zbl 1340.42021
Bourgain, Jean; Li, Dong
31
2014
The focusing energy-critical Hartree equation. Zbl 1155.35421
Li, Dong; Miao, Changxing; Zhang, Xiaoyi
30
2009
Finite time singularities and global well-posedness for fractal Burgers equations. Zbl 1166.35030
Dong, Hongjie; Du, Dapeng; Li, Dong
29
2009
Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation. Zbl 1138.35381
Li, Dong; Rodrigo, Jose
29
2008
Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. Zbl 1151.35073
Li, Dong; Sinai, Ya. G.
29
2008
Finite-time singularities of an aggregation equation in \(\mathbb R^n\) with fractional dissipation. Zbl 1178.35083
Li, Dong; Rodrigo, Jose
29
2009
Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces. Zbl 1480.35316
Bourgain, Jean; Li, Dong
28
2015
Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity. Zbl 1302.35319
Li, Dong; Xu, Xiaojing
27
2013
Refined blowup criteria and nonsymmetric blowup of an aggregation equation. Zbl 1168.35037
Li, Dong; Rodrigo, Jose L.
23
2009
Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations. Zbl 1173.35626
Dong, Hongjie; Li, Dong
22
2009
Trigonometric spectral collocation methods on lattices. Zbl 1036.65093
Li, Dong; Hickernell, Fred J.
21
2003
Spatial analyticity of the solutions to the subcritical dissipative quasi-geostrophic equations. Zbl 1157.35456
Dong, Hongjie; Li, Dong
21
2008
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
20
2013
The Cauchy problem for the two dimensional Euler-Poisson system. Zbl 1308.35220
Li, Dong; Wu, Yifei
20
2014
Blow up for the generalized surface quasi-geostrophic equation with supercritical dissipation. Zbl 1172.86301
Li, Dong; Rodrigo, Jose
19
2009
On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces. Zbl 1193.35151
Dong, Hongjie; Li, Dong
19
2010
On the stabilization size of semi-implicit Fourier-spectral methods for 3D Cahn-Hilliard equations. Zbl 1387.35495
Li, Dong; Qiao, Zhonghua
19
2017
Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313
Li, Dong; Li, Tong
18
2011
Smooth global solutions for the two-dimensional Euler Poisson system. Zbl 1298.35148
Jang, Juhi; Li, Dong; Zhang, Xiaoyi
15
2014
Finite time singularities for a class of generalized surface quasi-geostrophic equations. Zbl 1143.35084
Dong, Hongjie; Li, Dong
14
2008
On a one-dimensional nonlocal flux with fractional dissipation. Zbl 1231.35172
Li, Dong; Rodrigo, José L.
14
2011
A moving morphable void (MMV)-based explicit approach for topology optimization considering stress constraints. Zbl 1440.74330
Zhang, Weisheng; Li, Dong; Zhou, Jianhua; Du, Zongliang; Li, Baojun; Guo, Xu
13
2018
Nonparametric/semiparametric estimation and testing of econometric models with data dependent smoothing parameters. Zbl 1431.62646
Li, Dong; Li, Qi
13
2010
Sharp one component regularity for Navier-Stokes. Zbl 1412.76021
Han, Bin; Lei, Zhen; Li, Dong; Zhao, Na
13
2019
Wellposedness and regularity of solutions of an aggregation equation. Zbl 1197.35012
Li, Dong; Rodrigo, José L.
12
2010
Gradient bounds for a thin film epitaxy equation. Zbl 1364.35115
Li, Dong; Qiao, Zhonghua; Tang, Tao
12
2017
On a one-dimensional \(\alpha\)-patch model with nonlocal drift and fractional dissipation. Zbl 1302.35334
Dong, Hongjie; Li, Dong
11
2014
Existence theorems for the 2D quasi-geostrophic equation with plane wave initial conditions. Zbl 1177.35170
Li, Dong
10
2009
Global finite-time output feedback synchronization for a class of high-order nonlinear systems. Zbl 1348.93124
Li, Dong; Cao, Jinde
10
2015
Traveling wavefronts in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1415.35080
Li, Dong; Guo, Shangjiang
10
2019
A new three-dimensional topology optimization method based on moving morphable components (MMCs). Zbl 1398.74258
Zhang, Weisheng; Li, Dong; Yuan, Jie; Song, Junfu; Guo, Xu
10
2017
On a frequency localized Bernstein inequality and some generalized Poincaré-type inequalities. Zbl 1377.35271
Li, Dong
10
2013
Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials. Zbl 1488.65432
Li, Dong; Tang, Tao
9
2021
On the Euler-Poincaré equation with non-zero dispersion. Zbl 1452.35153
Li, Dong; Yu, Xinwei; Zhai, Zhichun
9
2013
Complex singularities of solutions of some 1D hydrodynamic models. Zbl 1143.76391
Li, Dong; Sinai, Ya. G.
8
2008
The Andersen thermostat in molecular dynamics. Zbl 1148.82019
E, Weinan; Li, Dong
8
2008
Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions. Zbl 1162.35070
Li, Dong; Zhang, Xiaoyi
8
2009
Minimum length scale control in structural topology optimization based on the moving morphable components (MMC) approach. Zbl 1439.74312
Zhang, Weisheng; Li, Dong; Zhang, Jian; Guo, Xu
8
2016
Periodic traveling waves in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1397.35059
Li, Dong; Guo, Shangjiang
8
2018
Bifurcation and stability of a Mimura-Tsujikawa model with nonlocal delay effect. Zbl 1370.35041
Li, Dong; Guo, Shangjiang
7
2017
Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS. Zbl 1184.35293
Killip, Rowan; Li, Dong; Visan, Monica; Zhang, Xiaoyi
7
2009
Complex singularities of the Burgers system and renormalization group method. Zbl 1171.35106
Li, Dong; Sinai, Ya. G.
7
2008
Adaptive fuzzy impulsive synchronization of chaotic systems with random parameters. Zbl 1380.93154
Zhang, Xingpeng; Li, Dong; Zhang, Xiaohong
7
2017
Quadratic lower bound for permanent vs. determinant in any characteristic. Zbl 1204.68100
Cai, Jin-Yi; Chen, Xi; Li, Dong
7
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
An improved moving-least-squares reconstruction for immersed boundary method. Zbl 1352.76082
Li, Dong; Wei, Anyang; Luo, Kun; Fan, Jianren
6
2015
Compacton, peakon, cuspons, loop solutions and smooth solitons for the generalized KP-MEW equation. Zbl 1369.35081
Zhong, Liyan; Tang, Shengqiang; Li, Dong; Zhao, Haixia
6
2014
Uncertainty reasoning based on cloud models in controllers. Zbl 0976.93505
Li, D.; Cheung, D.; Shi, Xuemei; Ng, V.
5
1998
On a nonlinear recurrent relation. Zbl 1181.35174
Li, Dong
5
2009
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
5
2008
On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation. Zbl 1159.35067
Li, Dong; Zhang, Xiaoyi
5
2009
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
5
2014
Stability and Hopf bifurcation in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1390.35378
Li, Dong; Guo, Shangjiang
5
2018
Dynamics for the energy critical nonlinear wave equation in high dimensions. Zbl 1221.35248
Li, Dong; Zhang, Xiaoyi
5
2011
Nonsymmetric bifurcations of solutions of the 2D Navier-Stokes system. Zbl 1237.35128
Li, Dong; Sinai, Yakov G.
4
2012
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions \(d \geqslant 2\). Zbl 1238.35146
Li, Dong; Zhang, XiaoYi
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
Asymptotic behavior of generalized convolutions. Zbl 1229.47089
Li, D.; Sinai, Ya. G.
4
2009
On the rate of convergence to equilibrium of the Andersen thermostat in molecular dynamics. Zbl 1128.82014
Li, Dong
4
2007
Galilean boost and non-uniform continuity for incompressible Euler. Zbl 1431.35114
Bourgain, Jean; Li, Dong
4
2019
Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations. Zbl 1337.35136
Le Coz, Stefan; Li, Dong; Tsai, Tai-Peng
4
2015
Oblique stagnation-point flow of a viscoelastic fluid with heat transfer. Zbl 1203.76066
Li, D.; Labropulu, F.; Pop, I.
4
2009
The BDF3/EP3 scheme for MBE with no slope selection is stable. Zbl 07408888
Li, Dong; Quan, Chaoyu; Yang, Wen
3
2021
Buckling analysis of a plate with built-in rectangular delamination by strip distributed transfer function method. Zbl 1071.74022
Li, D.; Tang, G.; Zhou, J.; Lei, Y.
3
2005
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation. Zbl 07473344
Li, Dong; Quan, Chaoyu; Tang, Tao
3
2022
A blow-up result for dyadic models of the Euler equations. Zbl 1322.34021
Jeong, In-Jee; Li, Dong
3
2015
Small \(\dot{B}^{-1}_{\infty,\infty}\) implies regularity. Zbl 1361.35145
Hmidi, Taoufik; Li, Dong
3
2017
On some Liouville type theorems for the compressible Navier-Stokes. Zbl 1304.35560
Li, Dong; Yu, Xinwei
3
2014
Regularity of almost periodic modulo scaling solutions for mass-critical NLS and applications. Zbl 1225.35220
Li, Dong; Zhang, Xiaoyi
3
2010
Blowups of complex-valued solutions for some hydrodynamic models. Zbl 1205.35227
Li, D.; Sinai, Ya. G.
3
2010
Asymptotic behaviour of time stepping methods for phase field models. Zbl 1468.35166
Cheng, Xinyu; Li, Dong; Promislow, Keith; Wetton, Brian
2
2021
Strong ill-posedness of the 3D incompressible Euler equation in borderline spaces. Zbl 1490.35257
Bourgain, Jean; Li, Dong
2
2021
A multiperiod competitive supply chain framework with environmental policies and investments in sustainable operations. Zbl 07487829
Yu, Min; Cruz, Jose M.; Li, Dong; Masoumi, Amir H.
2
2022
Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations. Zbl 1477.35272
Cheng, Xinyu; Kwon, Hyunju; Li, Dong
2
2021
Symmetric radial decreasing rearrangement can increase the fractional Gagliardo norm in domains. Zbl 1426.26049
Li, Dong; Wang, Ke
2
2019
New limiting distributions for the Möbius function. Zbl 1318.11100
Avdeeva, Maria; Li, Dong; Sinai, Yakov G.
2
2014
Remarks on a nonlocal transport. Zbl 1448.35401
Li, Dong; Rodrigo, Jose
2
2020
Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations. Zbl 07518061
Li, Dong; Quan, Chaoyu; Xu, Jiao
1
2022
Stability and convergence of Strang splitting. I: Scalar Allen-Cahn equation. Zbl 07527714
Li, Dong; Quan, Chaoyu; Xu, Jiao
1
2022
Modulation of turbulence by dispersed solid particles in a spatially developing flat-plate boundary layer. Zbl 1462.76199
Li, Dong; Luo, Kun; Fan, Jianren
1
2016
Traveling wavefronts in a two-species chemotaxis model with Lotka-Volterra competitive kinetics. Zbl 1458.92016
Li, Dong; He, Xiaolong; Li, Xinping; Guo, Shangjiang
1
2021
The operator-splitting method for Cahn-Hilliard is stable. Zbl 07454945
Li, Dong; Quan, Chaoyu
1
2022
Effective maximum principles for spectral methods. Zbl 07539512
Li, Dong
1
2021
Multiple positive solutions for fractional three-point boundary value problem with \(p\)-Laplacian operator. Zbl 1459.34025
Li, Dong; Liu, Yang; Wang, Chunli
1
2020
A new boundary problem for the two-dimensional Navier-Stokes system. Zbl 1168.76012
Dinaburg, Efim; Li, Dong; Sinai, Yakov G.
1
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
1
2009
The Abel Prize 2013–2017. Zbl 1419.01001
1
2019
Bifurcations of solutions of the 2-dimensional Navier-Stokes system. Zbl 1346.37049
Li, Dong; Sinai, Yakov G.
1
2012
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation. Zbl 07473344
Li, Dong; Quan, Chaoyu; Tang, Tao
3
2022
A multiperiod competitive supply chain framework with environmental policies and investments in sustainable operations. Zbl 07487829
Yu, Min; Cruz, Jose M.; Li, Dong; Masoumi, Amir H.
2
2022
Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations. Zbl 07518061
Li, Dong; Quan, Chaoyu; Xu, Jiao
1
2022
Stability and convergence of Strang splitting. I: Scalar Allen-Cahn equation. Zbl 07527714
Li, Dong; Quan, Chaoyu; Xu, Jiao
1
2022
The operator-splitting method for Cahn-Hilliard is stable. Zbl 07454945
Li, Dong; Quan, Chaoyu
1
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
1
2022
Stability of the semi-implicit method for the Cahn-Hilliard equation with logarithmic potentials. Zbl 1488.65432
Li, Dong; Tang, Tao
9
2021
The BDF3/EP3 scheme for MBE with no slope selection is stable. Zbl 07408888
Li, Dong; Quan, Chaoyu; Yang, Wen
3
2021
Asymptotic behaviour of time stepping methods for phase field models. Zbl 1468.35166
Cheng, Xinyu; Li, Dong; Promislow, Keith; Wetton, Brian
2
2021
Strong ill-posedness of the 3D incompressible Euler equation in borderline spaces. Zbl 1490.35257
Bourgain, Jean; Li, Dong
2
2021
Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations. Zbl 1477.35272
Cheng, Xinyu; Kwon, Hyunju; Li, Dong
2
2021
Traveling wavefronts in a two-species chemotaxis model with Lotka-Volterra competitive kinetics. Zbl 1458.92016
Li, Dong; He, Xiaolong; Li, Xinping; Guo, Shangjiang
1
2021
Effective maximum principles for spectral methods. Zbl 07539512
Li, Dong
1
2021
Remarks on a nonlocal transport. Zbl 1448.35401
Li, Dong; Rodrigo, Jose
2
2020
Multiple positive solutions for fractional three-point boundary value problem with \(p\)-Laplacian operator. Zbl 1459.34025
Li, Dong; Liu, Yang; Wang, Chunli
1
2020
An improved gradient bound for 2D MBE. Zbl 1452.35050
Li, Dong; Wang, Fan; Yang, Kai
1
2020
On Kato-Ponce and fractional Leibniz. Zbl 1412.35261
Li, Dong
46
2019
Sharp one component regularity for Navier-Stokes. Zbl 1412.76021
Han, Bin; Lei, Zhen; Li, Dong; Zhao, Na
13
2019
Traveling wavefronts in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1415.35080
Li, Dong; Guo, Shangjiang
10
2019
Galilean boost and non-uniform continuity for incompressible Euler. Zbl 1431.35114
Bourgain, Jean; Li, Dong
4
2019
Symmetric radial decreasing rearrangement can increase the fractional Gagliardo norm in domains. Zbl 1426.26049
Li, Dong; Wang, Ke
2
2019
The Abel Prize 2013–2017. Zbl 1419.01001
1
2019
A regularity upgrade of pressure. Zbl 1423.35300
Li, Dong; Zhang, Xiaoyi
1
2019
A moving morphable void (MMV)-based explicit approach for topology optimization considering stress constraints. Zbl 1440.74330
Zhang, Weisheng; Li, Dong; Zhou, Jianhua; Du, Zongliang; Li, Baojun; Guo, Xu
13
2018
Periodic traveling waves in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1397.35059
Li, Dong; Guo, Shangjiang
8
2018
Stability and Hopf bifurcation in a reaction-diffusion model with chemotaxis and nonlocal delay effect. Zbl 1390.35378
Li, Dong; Guo, Shangjiang
5
2018
Direct numerical simulation of turbulent flow and heat transfer in a spatially developing turbulent boundary layer laden with particles. Zbl 1404.76131
Li, Dong; Luo, Kun; Fan, Jianren
1
2018
On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations. Zbl 1434.65206
Li, Dong; Qiao, Zhonghua
67
2017
On the stabilization size of semi-implicit Fourier-spectral methods for 3D Cahn-Hilliard equations. Zbl 1387.35495
Li, Dong; Qiao, Zhonghua
19
2017
Gradient bounds for a thin film epitaxy equation. Zbl 1364.35115
Li, Dong; Qiao, Zhonghua; Tang, Tao
12
2017
A new three-dimensional topology optimization method based on moving morphable components (MMCs). Zbl 1398.74258
Zhang, Weisheng; Li, Dong; Yuan, Jie; Song, Junfu; Guo, Xu
10
2017
Bifurcation and stability of a Mimura-Tsujikawa model with nonlocal delay effect. Zbl 1370.35041
Li, Dong; Guo, Shangjiang
7
2017
Adaptive fuzzy impulsive synchronization of chaotic systems with random parameters. Zbl 1380.93154
Zhang, Xingpeng; Li, Dong; Zhang, Xiaohong
7
2017
Small \(\dot{B}^{-1}_{\infty,\infty}\) implies regularity. Zbl 1361.35145
Hmidi, Taoufik; Li, Dong
3
2017
Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations. Zbl 1346.35162
Li, Dong; Qiao, Zhonghua; Tang, Tao
67
2016
Minimum length scale control in structural topology optimization based on the moving morphable components (MMC) approach. Zbl 1439.74312
Zhang, Weisheng; Li, Dong; Zhang, Jian; Guo, Xu
8
2016
Modulation of turbulence by dispersed solid particles in a spatially developing flat-plate boundary layer. Zbl 1462.76199
Li, Dong; Luo, Kun; Fan, Jianren
1
2016
Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces. Zbl 1320.35266
Bourgain, Jean; Li, Dong
47
2015
Quantitative decay of a one-dimensional hybrid chemotaxis model with large data. Zbl 1327.35166
Li, Dong; Pan, Ronghua; Zhao, Kun
33
2015
Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces. Zbl 1480.35316
Bourgain, Jean; Li, Dong
28
2015
Global finite-time output feedback synchronization for a class of high-order nonlinear systems. Zbl 1348.93124
Li, Dong; Cao, Jinde
10
2015
An improved moving-least-squares reconstruction for immersed boundary method. Zbl 1352.76082
Li, Dong; Wei, Anyang; Luo, Kun; Fan, Jianren
6
2015
Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations. Zbl 1337.35136
Le Coz, Stefan; Li, Dong; Tsai, Tai-Peng
4
2015
A blow-up result for dyadic models of the Euler equations. Zbl 1322.34021
Jeong, In-Jee; Li, Dong
3
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
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
32
2014
On an endpoint Kato-Ponce inequality. Zbl 1340.42021
Bourgain, Jean; Li, Dong
31
2014
The Cauchy problem for the two dimensional Euler-Poisson system. Zbl 1308.35220
Li, Dong; Wu, Yifei
20
2014
Smooth global solutions for the two-dimensional Euler Poisson system. Zbl 1298.35148
Jang, Juhi; Li, Dong; Zhang, Xiaoyi
15
2014
On a one-dimensional \(\alpha\)-patch model with nonlocal drift and fractional dissipation. Zbl 1302.35334
Dong, Hongjie; Li, Dong
11
2014
Compacton, peakon, cuspons, loop solutions and smooth solitons for the generalized KP-MEW equation. Zbl 1369.35081
Zhong, Liyan; Tang, Shengqiang; Li, Dong; Zhao, Haixia
6
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
5
2014
On some Liouville type theorems for the compressible Navier-Stokes. Zbl 1304.35560
Li, Dong; Yu, Xinwei
3
2014
New limiting distributions for the Möbius function. Zbl 1318.11100
Avdeeva, Maria; Li, Dong; Sinai, Yakov G.
2
2014
Cusped and smooth solitons for the generalized Camassa-Holm equation on the nonzero constant pedestal. Zbl 1468.35171
Li, Dong; Xie, Yongan; Tang, Shengqiang
1
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
27
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
20
2013
On a frequency localized Bernstein inequality and some generalized Poincaré-type inequalities. Zbl 1377.35271
Li, Dong
10
2013
On the Euler-Poincaré equation with non-zero dispersion. Zbl 1452.35153
Li, Dong; Yu, Xinwei; Zhai, Zhichun
9
2013
Nonsymmetric bifurcations of solutions of the 2D Navier-Stokes system. Zbl 1237.35128
Li, Dong; Sinai, Yakov G.
4
2012
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions \(d \geqslant 2\). Zbl 1238.35146
Li, Dong; Zhang, XiaoYi
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
53
2011
Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313
Li, Dong; Li, Tong
18
2011
On a one-dimensional nonlocal flux with fractional dissipation. Zbl 1231.35172
Li, Dong; Rodrigo, José L.
14
2011
Dynamics for the energy critical nonlinear wave equation in high dimensions. Zbl 1221.35248
Li, Dong; Zhang, Xiaoyi
5
2011
Stability of solutions for nonlinear Schrödinger equations in critical spaces. Zbl 1216.35143
Li, Dong; Zhang, XiaoYi
1
2011
Exploding solutions for a nonlocal quadratic evolution problem. Zbl 1195.35182
Li, Dong; Rodrigo, José L.; Zhang, Xiaoyi
32
2010
On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces. Zbl 1193.35151
Dong, Hongjie; Li, Dong
19
2010
Nonparametric/semiparametric estimation and testing of econometric models with data dependent smoothing parameters. Zbl 1431.62646
Li, Dong; Li, Qi
13
2010
Wellposedness and regularity of solutions of an aggregation equation. Zbl 1197.35012
Li, Dong; Rodrigo, José L.
12
2010
Quadratic lower bound for permanent vs. determinant in any characteristic. Zbl 1204.68100
Cai, Jin-Yi; Chen, Xi; Li, Dong
7
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
3
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 crystallization of 2D hexagonal lattices. Zbl 1180.82191
E, Weinan; Li, Dong
38
2009
The focusing energy-critical Hartree equation. Zbl 1155.35421
Li, Dong; Miao, Changxing; Zhang, Xiaoyi
30
2009
Finite time singularities and global well-posedness for fractal Burgers equations. Zbl 1166.35030
Dong, Hongjie; Du, Dapeng; Li, Dong
29
2009
Finite-time singularities of an aggregation equation in \(\mathbb R^n\) with fractional dissipation. Zbl 1178.35083
Li, Dong; Rodrigo, Jose
29
2009
Refined blowup criteria and nonsymmetric blowup of an aggregation equation. Zbl 1168.35037
Li, Dong; Rodrigo, Jose L.
23
2009
Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations. Zbl 1173.35626
Dong, Hongjie; Li, Dong
22
2009
Blow up for the generalized surface quasi-geostrophic equation with supercritical dissipation. Zbl 1172.86301
Li, Dong; Rodrigo, Jose
19
2009
Existence theorems for the 2D quasi-geostrophic equation with plane wave initial conditions. Zbl 1177.35170
Li, Dong
10
2009
Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions. Zbl 1162.35070
Li, Dong; Zhang, Xiaoyi
8
2009
Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS. Zbl 1184.35293
Killip, Rowan; Li, Dong; Visan, Monica; Zhang, Xiaoyi
7
2009
On a nonlinear recurrent relation. Zbl 1181.35174
Li, Dong
5
2009
On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation. Zbl 1159.35067
Li, Dong; Zhang, Xiaoyi
5
2009
Asymptotic behavior of generalized convolutions. Zbl 1229.47089
Li, D.; Sinai, Ya. G.
4
2009
Oblique stagnation-point flow of a viscoelastic fluid with heat transfer. Zbl 1203.76066
Li, D.; Labropulu, F.; Pop, I.
4
2009
A new boundary problem for the two-dimensional Navier-Stokes system. Zbl 1168.76012
Dinaburg, Efim; Li, Dong; Sinai, Yakov G.
1
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
1
2009
Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation. Zbl 1138.35381
Li, Dong; Rodrigo, Jose
29
2008
Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method. Zbl 1151.35073
Li, Dong; Sinai, Ya. G.
29
2008
Spatial analyticity of the solutions to the subcritical dissipative quasi-geostrophic equations. Zbl 1157.35456
Dong, Hongjie; Li, Dong
21
2008
Finite time singularities for a class of generalized surface quasi-geostrophic equations. Zbl 1143.35084
Dong, Hongjie; Li, Dong
14
2008
...and 9 more Documents
all top 5

Cited by 930 Authors

52 Li, Dong
20 Zhao, Kun
17 Wang, Zhian
16 Wang, Cheng
14 Dong, Hongjie
14 Granero Belinchón, Rafael
13 Jeong, In-Jee
13 Sinaĭ, Yakov Grigor’evich
13 Wu, Jiahong
11 Stefanelli, Ulisse
10 Qiao, Zhonghua
9 Bétermin, Laurent
9 Friedrich, Manuel
9 Wise, Steven M.
9 Zhang, Xiaoyi
8 Chen, Wenbin
8 Duyckaerts, Thomas
8 Kenig, Carlos Eduardo
8 Liu, Zuhan
8 Yang, Xiaofeng
7 Biswas, Animikh
7 Elgindi, Tarek Mohamed
7 Li, Xiao
7 Liu, Qiao
7 Merle, Frank
7 Miao, Changxing
7 Nuyens, Dirk
7 Rodrigo, José Luis
7 Wang, Changyou
7 Zhao, Jia
6 Bae, Hantaek
6 Bian, Dongfen
6 Burczak, Jan
6 Dai, Wei
6 Ferreira, Lucas Catão de Freitas
6 Gao, Yanfang
6 Gong, Yuezheng
6 Kämmerer, Lutz
6 Kuo, Frances Y.
6 Li, Tong
6 Martinez, Vincent R.
6 Peng, Hongyun
6 Volkmer, Toni
6 Xu, Xiaojing
6 Ye, Zhuan
6 Yin, Zhaoyang
6 Zhou, Ling
5 Carrillo de la Plata, José Antonio
5 Chen, Jiecheng
5 Constantin, Peter
5 Hou, Qianqian
5 Ju, Lili
5 Laurent, Thomas
5 Lazar, Omar
5 Lee, Yongki
5 Li, Jinlu
5 Liu, Hailiang
5 Liu, Zhengrong
5 Pausader, Benoît
5 Piovano, Paolo
5 Quan, Chaoyu
5 Shen, Jie
5 Vicol, Vlad C.
5 Wang, Qi
5 Wu, Xinfeng
5 Yamamoto, Masakazu
5 Yang, Kai
5 Yu, Xinwei
5 Zeng, Yanni
5 Zhang, Zhengru
5 Zhu, Neng
4 Bertozzi, Andrea Louise
4 Biler, Piotr
4 Bou-Rabee, Nawaf M.
4 Castro, Ángel
4 Chae, Dongho
4 Chen, Zhimin
4 Cheng, Kelong
4 Choi, Kyudong
4 Cools, Ronald
4 Cordoba, Diego
4 Dong, Boqing
4 Fan, Jishan
4 Ionescu, Alexandru D.
4 Jiang, Kerui
4 Karch, Grzegorz
4 Li, Jingyu
4 Li, Jinkai
4 Li, Weijia
4 Mainini, Edoardo
4 Potts, Daniel
4 Pu, Xueke
4 Qian, Chenyin
4 Skalák, Zdeněk
4 Sugiyama, Yuusuke
4 Wang, Fang
4 Wang, Shu
4 Wang, Weike
4 Wang, Xiaoming
4 Wang, Zhiyong
...and 830 more Authors
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Cited in 163 Serials

72 Journal of Differential Equations
29 Archive for Rational Mechanics and Analysis
29 Communications in Mathematical Physics
26 Journal of Mathematical Analysis and Applications
23 Discrete and Continuous Dynamical Systems
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Journal of Functional Analysis
19 Advances in Mathematics
18 SIAM Journal on Mathematical Analysis
17 Journal of Mathematical Fluid Mechanics
16 Nonlinearity
16 Journal of Scientific Computing
14 Journal of Mathematical Physics
14 Nonlinear Analysis. Real World Applications
13 Journal of Computational Physics
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Journal of Statistical Physics
12 Journal of Nonlinear Science
12 Discrete and Continuous Dynamical Systems. Series B
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Mathematics of Computation
10 Journal of Computational and Applied Mathematics
10 Applied Mathematics Letters
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Transactions of the American Mathematical Society
9 Physica D
9 Communications in Computational Physics
8 Computers & Mathematics with Applications
8 Acta Applicandae Mathematicae
8 Applied Numerical Mathematics
7 Journal of Evolution Equations
7 Communications on Pure and Applied Analysis
7 Science China. Mathematics
6 Computer Methods in Applied Mechanics and Engineering
6 Proceedings of the American Mathematical Society
6 SIAM Journal on Numerical Analysis
6 Journal of Complexity
6 Acta Mathematica Sinica. English Series
5 Applicable Analysis
5 Mathematical Methods in the Applied Sciences
5 SIAM Journal on Scientific Computing
5 Calculus of Variations and Partial Differential Equations
5 Discrete and Continuous Dynamical Systems. Series S
5 Kinetic and Related Models
5 Annals of PDE
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Monatshefte für Mathematik
4 Chinese Annals of Mathematics. Series B
4 Revista Matemática Iberoamericana
4 Communications in Partial Differential Equations
4 The Journal of Fourier Analysis and Applications
4 Communications in Contemporary Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Advances in Applied Mathematics and Mechanics
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 Journal of the American Mathematical Society
3 The Journal of Geometric Analysis
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Computational Complexity
3 Regular and Chaotic Dynamics
3 Journal of the European Mathematical Society (JEMS)
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Boundary Value Problems
3 Analysis and Mathematical Physics
2 Communications on Pure and Applied Mathematics
2 Applied Mathematics and Computation
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Numerische Mathematik
2 Constructive Approximation
2 Numerical Algorithms
2 Geometric and Functional Analysis. GAFA
2 Applied Mathematical Modelling
2 SIAM Review
2 Potential Analysis
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Abstract and Applied Analysis
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Annals of Mathematics. Second Series
2 Annales Henri Poincaré
2 Nonlinear Analysis. Modelling and Control
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Hyperbolic Differential Equations
2 Networks and Heterogeneous Media
2 Numerical Mathematics: Theory, Methods and Applications
2 Séminaire Laurent Schwartz. EDP et Applications
2 AIMS Mathematics
1 Geophysical and Astrophysical Fluid Dynamics
1 International Journal of Control
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
...and 63 more Serials
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Cited in 44 Fields

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

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