×
Compute Distance To:
Author ID: li.y-charles Recent zbMATH articles by "Li, Y. Charles"
Published as: Li, Y. Charles; Li, Yanguang; Li, Y.; Li, Yanguang (Charles); Li, Yanguang C.; Li, Y. C.
Further Spellings: 李沿光
Homepage: http://faculty.missouri.edu/~liyan/
External Links: MGP · ORCID · ResearchGate · dblp
Documents Indexed: 81 Publications since 1989, including 2 Books
Reviewing Activity: 8 Reviews
Co-Authors: 16 Co-Authors with 22 Joint Publications
439 Co-Co-Authors
all top 5

Serials

10 Dynamics of Partial Differential Equations
5 Studies in Applied Mathematics
4 Chaos, Solitons and Fractals
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Journal of Fluid Mechanics
3 Journal of Mathematical Physics
3 Journal of Nonlinear Science
3 Electronic Journal of Differential Equations (EJDE)
2 Journal of Mathematical Analysis and Applications
2 Journal of Statistical Physics
2 Nonlinearity
2 The Asian Journal of Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 Letters in Mathematical Physics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 The Mathematical Intelligencer
1 Applied Mathematics and Computation
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Stochastic Analysis and Applications
1 Acta Applicandae Mathematicae
1 Advances in Mechanics
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 International Journal of Computer Mathematics
1 SIAM Journal on Mathematical Analysis
1 Notices of the American Mathematical Society
1 Journal of Dynamics and Differential Equations
1 Physics of Fluids
1 Discrete and Continuous Dynamical Systems
1 Communications on Applied Nonlinear Analysis
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Communications on Pure and Applied Analysis
1 International Journal of Computational Methods
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Statistical Theory and Practice
1 Discrete and Continuous Dynamical Systems. Series S
1 Surveys of Modern Mathematics

Publications by Year

Citations contained in zbMATH Open

55 Publications have been cited 357 times in 157 Documents Cited by Year
A linearly conforming radial point interpolation method for solid mechanics problems. Zbl 1198.74120
Liu, G. R.; Li, Y.; Dai, K. Y.; Luan, M. T.; Xue, W.
64
2006
Persistent homoclinic orbits for a perturbed nonlinear Schrödinger equation. Zbl 0866.35112
Li, Y.; McLaughlin, David W.; Shatah, Jalal; Wiggins, S.
47
1996
Morse and Melnikov functions for NLS PDE’s. Zbl 0808.35140
Li, Y.; McLaughlin, David W.
31
1994
On 2D Euler equations. I: On the energy-Casimir stabilities and the spectra for linearized 2D Euler equations. Zbl 0997.37044
Li, Yanguang
14
2000
Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits. Zbl 0870.35093
Li, Y.; McLaughlin, D. W.
12
1997
Lax pairs and Darboux transformations for Euler equations. Zbl 1141.37357
Li, Yanguang (Charles); Yurov, Artyom V.
11
2003
A novel node-based smoothed finite element method with linear strain fields for static, free and forced vibration analyses of solids. Zbl 1428.74211
Li, Y.; Liu, G. R.
11
2019
Singularly perturbed vector and scalar nonlinear Schrödinger equations with persistent homoclinic orbits. Zbl 1152.35496
Li, Yanguang
10
2002
A Lax pair for the two dimensional Euler equation. Zbl 1005.37056
Li, Yanguang
9
2001
A resolution of the Sommerfeld paradox. Zbl 1383.76140
Li, Y. Charles; Lin, Zhiwu
9
2011
Chaos and shadowing lemma for autonomous systems of infinite dimensions. Zbl 1036.37029
Li, Yanguang (Charles)
8
2003
Homoclinic orbits and chaos in discretized perturbed NLS systems. II: Symbolic dynamics. Zbl 0891.58011
Li, Y.; Wiggins, S.
8
1997
Bäcklund-Darboux transformations and Melnikov analysis for Davey-Stewartson II equations. Zbl 0963.35170
Li, Y.
8
2000
Homoclinic tubes and chaos in perturbed sine-Gordon equation. Zbl 1048.37068
Li, Y. Charles
8
2004
The spectrum of a linearized 2D Euler operator. Zbl 1141.35437
Latushkin, Y.; Li, Y. C.; Stanislavova, M.
8
2004
Persistent homoclinic orbits for nonlinear Schrödinger equation under singular perturbations. Zbl 1153.35391
Li, Y. Charles
7
2004
Invariant manifolds and their zero-viscosity limits for Navier-Stokes equations. Zbl 1105.35083
Li, Y. Charles
6
2005
Chaos in partial differential equations. Zbl 1017.35096
Li, Yanguang
5
2002
Chaos and shadowing around a heteroclinically tubular cycle with an application to sine-Gordon equation. Zbl 1145.37339
Li, Y. Charles
5
2006
Simple explicit formulae for finite time blow up solutions to the complex KdV equation. Zbl 1197.35240
Li, Y. Charles
4
2009
Chaos and shadowing around a homoclinic tube. Zbl 1064.37059
Li, Yanguang
4
2003
Existence of chaos for nonlinear Schrödinger equation under singular perturbations. Zbl 1153.35392
Li, Y. Charles
4
2004
Lie-Bäcklund-Darboux transformations. Zbl 1301.37054
Li, Y. Charles; Yurov, Artyom
4
2014
Global regularity for the viscous Boussinesq equations. Zbl 1048.35062
Li, Yanguang
4
2004
Chaos in PDEs and Lax pairs of Euler equations. Zbl 1033.35116
Li, Yanguang
4
2003
Homoclinic tubes in discrete nonlinear Schrödinger equation under Hamiltonian perturbations. Zbl 1037.37031
Li, Yanguang
4
2003
On the dynamics of Navier-Stokes and Euler equations. Zbl 1175.35103
Lan, Yueheng; Li, Y. Charles
4
2008
Stochastic mixed multiscale finite element methods and their applications in random porous media. Zbl 1231.74418
Jiang, L.; Mishev, I.; Li, Y.
4
2010
Chaos in Miles’ equations. Zbl 1062.76007
Li, Y. Charles
3
2004
Chaos in wave interactions. Zbl 1116.37048
Li, Y. Charles
3
2007
Melnikov analysis for a singularly perturbed DSII equation. Zbl 1145.37338
Li, Y. Charles
3
2005
Linear hydrodynamic stability. Zbl 1404.76099
Li, Y. Charles
3
2018
Rough dependence upon initial data exemplified by explicit solutions and the effect of viscosity. Zbl 1429.76041
Li, Y. Charles
2
2017
Distinction of turbulence from chaos – rough dependence on initial data. Zbl 1426.76179
Li, Y. Charles
2
2014
Existence of chaos in evolution equations. Zbl 1026.37056
Li, Yanguang C.
2
2002
Existence of chaos in weakly quasilinear systems. Zbl 1230.35021
Li, Y. Charles
2
2011
Stability criteria of 3D inviscid shears. Zbl 1383.76139
Li, Y. Charles
2
2011
Zero dispersion and viscosity limits of invariant manifolds for focusing nonlinear Schrödinger equations. Zbl 1087.58025
Li, Y. Charles
1
2006
Integrable structures for 2D Euler equations of incompressible inviscid fluids. Zbl 1092.37056
Li, Yanguang
1
2002
Ergodic isospectral theory of the Lax pairs of Euler equations with harmonic analysis flavor. Zbl 1080.35059
Li, Y. Charles
1
2005
On quasiperiodic boundary condition problem. Zbl 1076.35117
Li, Y. Charles
1
2005
The magnetised Richtmyer-Meshkov instability in two-fluid plasmas. Zbl 1460.76945
Bond, Daryl; Wheatley, V.; Li, Y.; Samtaney, R.; Pullin, D. I.
1
2020
Short term unpredictability of high Reynolds number turbulence – rough dependence on initial data. Zbl 1444.76059
Feng, Zaichun; Li, Y. Charles
1
2020
Major open problems in chaos theory, turbulence and nonlinear dynamics. Zbl 1287.70001
Li, Y. Charles
1
2013
Exact and asymptotic conditions on traveling wave solutions of the Navier-Stokes equations. Zbl 1183.76309
Li, Y. Charles; Viswanath, Divakar
1
2009
On the chaotic flux dynamics in a long Josephson junction. Zbl 1208.35129
Feng, Z. C.; Li, Y. Charles
1
2011
Isospectral theory of Euler equations. Zbl 1060.35101
Li, Y. Charles; Shvidkoy, Roman
1
2004
Arnold diffusion of the discrete nonlinear Schrödinger equation. Zbl 1105.37046
Li, Y. Charles
1
2006
Strange tori of the derivative nonlinear Schrödinger equation. Zbl 1134.35100
Li, Y. Charles
1
2007
On the true nature of turbulence. Zbl 1158.76017
Li, Y. Charles
1
2007
A recurrence theorem on the solutions to the 2D Euler equation. Zbl 1179.35230
Li, Y. Charles
1
2009
The Poincaré recurrence problem of inviscid incompressible fluids. Zbl 1179.35231
Li, Y. Charles
1
2009
A mathematical model of demand-supply dynamics with collectability and saturation factors. Zbl 1358.34053
Li, Y. Charles; Yang, Hong
1
2017
Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain. Zbl 1421.35020
Inci, Hasan; Li, Y. Charles
1
2019
On COVID-19 outbreaks predictions: issues on stability, parameter sensitivity, and precision. Zbl 1470.92351
Stehlík, M.; Kiseľák, J.; Dinamarca, M. Alejandro; Li, Y.; Ying, Y.
1
2021
On COVID-19 outbreaks predictions: issues on stability, parameter sensitivity, and precision. Zbl 1470.92351
Stehlík, M.; Kiseľák, J.; Dinamarca, M. Alejandro; Li, Y.; Ying, Y.
1
2021
The magnetised Richtmyer-Meshkov instability in two-fluid plasmas. Zbl 1460.76945
Bond, Daryl; Wheatley, V.; Li, Y.; Samtaney, R.; Pullin, D. I.
1
2020
Short term unpredictability of high Reynolds number turbulence – rough dependence on initial data. Zbl 1444.76059
Feng, Zaichun; Li, Y. Charles
1
2020
A novel node-based smoothed finite element method with linear strain fields for static, free and forced vibration analyses of solids. Zbl 1428.74211
Li, Y.; Liu, G. R.
11
2019
Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain. Zbl 1421.35020
Inci, Hasan; Li, Y. Charles
1
2019
Linear hydrodynamic stability. Zbl 1404.76099
Li, Y. Charles
3
2018
Rough dependence upon initial data exemplified by explicit solutions and the effect of viscosity. Zbl 1429.76041
Li, Y. Charles
2
2017
A mathematical model of demand-supply dynamics with collectability and saturation factors. Zbl 1358.34053
Li, Y. Charles; Yang, Hong
1
2017
Lie-Bäcklund-Darboux transformations. Zbl 1301.37054
Li, Y. Charles; Yurov, Artyom
4
2014
Distinction of turbulence from chaos – rough dependence on initial data. Zbl 1426.76179
Li, Y. Charles
2
2014
Major open problems in chaos theory, turbulence and nonlinear dynamics. Zbl 1287.70001
Li, Y. Charles
1
2013
A resolution of the Sommerfeld paradox. Zbl 1383.76140
Li, Y. Charles; Lin, Zhiwu
9
2011
Existence of chaos in weakly quasilinear systems. Zbl 1230.35021
Li, Y. Charles
2
2011
Stability criteria of 3D inviscid shears. Zbl 1383.76139
Li, Y. Charles
2
2011
On the chaotic flux dynamics in a long Josephson junction. Zbl 1208.35129
Feng, Z. C.; Li, Y. Charles
1
2011
Stochastic mixed multiscale finite element methods and their applications in random porous media. Zbl 1231.74418
Jiang, L.; Mishev, I.; Li, Y.
4
2010
Simple explicit formulae for finite time blow up solutions to the complex KdV equation. Zbl 1197.35240
Li, Y. Charles
4
2009
Exact and asymptotic conditions on traveling wave solutions of the Navier-Stokes equations. Zbl 1183.76309
Li, Y. Charles; Viswanath, Divakar
1
2009
A recurrence theorem on the solutions to the 2D Euler equation. Zbl 1179.35230
Li, Y. Charles
1
2009
The Poincaré recurrence problem of inviscid incompressible fluids. Zbl 1179.35231
Li, Y. Charles
1
2009
On the dynamics of Navier-Stokes and Euler equations. Zbl 1175.35103
Lan, Yueheng; Li, Y. Charles
4
2008
Chaos in wave interactions. Zbl 1116.37048
Li, Y. Charles
3
2007
Strange tori of the derivative nonlinear Schrödinger equation. Zbl 1134.35100
Li, Y. Charles
1
2007
On the true nature of turbulence. Zbl 1158.76017
Li, Y. Charles
1
2007
A linearly conforming radial point interpolation method for solid mechanics problems. Zbl 1198.74120
Liu, G. R.; Li, Y.; Dai, K. Y.; Luan, M. T.; Xue, W.
64
2006
Chaos and shadowing around a heteroclinically tubular cycle with an application to sine-Gordon equation. Zbl 1145.37339
Li, Y. Charles
5
2006
Zero dispersion and viscosity limits of invariant manifolds for focusing nonlinear Schrödinger equations. Zbl 1087.58025
Li, Y. Charles
1
2006
Arnold diffusion of the discrete nonlinear Schrödinger equation. Zbl 1105.37046
Li, Y. Charles
1
2006
Invariant manifolds and their zero-viscosity limits for Navier-Stokes equations. Zbl 1105.35083
Li, Y. Charles
6
2005
Melnikov analysis for a singularly perturbed DSII equation. Zbl 1145.37338
Li, Y. Charles
3
2005
Ergodic isospectral theory of the Lax pairs of Euler equations with harmonic analysis flavor. Zbl 1080.35059
Li, Y. Charles
1
2005
On quasiperiodic boundary condition problem. Zbl 1076.35117
Li, Y. Charles
1
2005
Homoclinic tubes and chaos in perturbed sine-Gordon equation. Zbl 1048.37068
Li, Y. Charles
8
2004
The spectrum of a linearized 2D Euler operator. Zbl 1141.35437
Latushkin, Y.; Li, Y. C.; Stanislavova, M.
8
2004
Persistent homoclinic orbits for nonlinear Schrödinger equation under singular perturbations. Zbl 1153.35391
Li, Y. Charles
7
2004
Existence of chaos for nonlinear Schrödinger equation under singular perturbations. Zbl 1153.35392
Li, Y. Charles
4
2004
Global regularity for the viscous Boussinesq equations. Zbl 1048.35062
Li, Yanguang
4
2004
Chaos in Miles’ equations. Zbl 1062.76007
Li, Y. Charles
3
2004
Isospectral theory of Euler equations. Zbl 1060.35101
Li, Y. Charles; Shvidkoy, Roman
1
2004
Lax pairs and Darboux transformations for Euler equations. Zbl 1141.37357
Li, Yanguang (Charles); Yurov, Artyom V.
11
2003
Chaos and shadowing lemma for autonomous systems of infinite dimensions. Zbl 1036.37029
Li, Yanguang (Charles)
8
2003
Chaos and shadowing around a homoclinic tube. Zbl 1064.37059
Li, Yanguang
4
2003
Chaos in PDEs and Lax pairs of Euler equations. Zbl 1033.35116
Li, Yanguang
4
2003
Homoclinic tubes in discrete nonlinear Schrödinger equation under Hamiltonian perturbations. Zbl 1037.37031
Li, Yanguang
4
2003
Singularly perturbed vector and scalar nonlinear Schrödinger equations with persistent homoclinic orbits. Zbl 1152.35496
Li, Yanguang
10
2002
Chaos in partial differential equations. Zbl 1017.35096
Li, Yanguang
5
2002
Existence of chaos in evolution equations. Zbl 1026.37056
Li, Yanguang C.
2
2002
Integrable structures for 2D Euler equations of incompressible inviscid fluids. Zbl 1092.37056
Li, Yanguang
1
2002
A Lax pair for the two dimensional Euler equation. Zbl 1005.37056
Li, Yanguang
9
2001
On 2D Euler equations. I: On the energy-Casimir stabilities and the spectra for linearized 2D Euler equations. Zbl 0997.37044
Li, Yanguang
14
2000
Bäcklund-Darboux transformations and Melnikov analysis for Davey-Stewartson II equations. Zbl 0963.35170
Li, Y.
8
2000
Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits. Zbl 0870.35093
Li, Y.; McLaughlin, D. W.
12
1997
Homoclinic orbits and chaos in discretized perturbed NLS systems. II: Symbolic dynamics. Zbl 0891.58011
Li, Y.; Wiggins, S.
8
1997
Persistent homoclinic orbits for a perturbed nonlinear Schrödinger equation. Zbl 0866.35112
Li, Y.; McLaughlin, David W.; Shatah, Jalal; Wiggins, S.
47
1996
Morse and Melnikov functions for NLS PDE’s. Zbl 0808.35140
Li, Y.; McLaughlin, David W.
31
1994
all top 5

Cited by 213 Authors

25 Li, Y. Charles
7 Guo, Boling
6 Schober, Constance M.
6 Wright, Otis Clarence III
5 Calini, Annalisa M.
4 Dullin, Holger R.
4 Fan, Engui
4 Guha, Partha
4 Worthington, Joachim
4 Yuen, Manwai
4 Zeng, Chongchun
3 Bedrossian, Jacob
3 Ben Ayed, Mohamed
3 Chang, Qianshun
3 Feng, Zaichun
3 Gao, Ping
3 Kappeler, Thomas
3 Masmoudi, Nader
3 McLaughlin, David W.
3 Ould Ahmedou, Mohameden
3 Su, Xing
3 Topalov, Peter J.
3 Wu, Ranchao
2 Caldas, Iberê L.
2 Chtioui, Hichem
2 Dai, Zhengde
2 Deguchi, Kengo
2 Djakov, Plamen B.
2 Fečkan, Michal
2 Ivey, Thomas A.
2 Karachalios, Nikos I.
2 Latushkin, Yuri
2 Liu, Weishi
2 Lohrmann, Philipp
2 Marangell, Robert
2 Mityagin, Boris Samuilovich
2 Ould Bouh, Kamal
2 Qin, Yuming
2 Rothos, Vassilios M.
2 Sun, Jianhua
2 Szezech, José D. jun.
2 Tian, Bo
2 Tsyganov, Andreĭ Vladimirovich
2 Vasudevan, Shibi
2 Viswanath, Divakar
2 Wiggins, Stephen
2 Xiang, Qiaomin
2 Xu, Pengcheng
2 Yang, Qigui
2 Yi, Yingfei
2 Yurov, Artyom V.
2 Zhang, Huiqun
1 Abdelhedi, Wael
1 Ablowitz, Mark Jay
1 Alghanemi, Azeb
1 Alonso-Mallo, Isaías
1 An, Hongli
1 Antonopoulos, Chris G.
1 Artyshev, S. G.
1 Bates, Peter W.
1 Batista, Antonio Marcos
1 Battelli, Flaviano
1 Belozyorov, Vasiliy Ye.
1 Berera, Arjun
1 Bountis, Tassos C.
1 Braz e Silva, Pablo
1 Cai, David
1 Cai, Jiu-Xian
1 Cao, Jinde
1 Cascaval, Radu C.
1 Castrejón-Lozano, J. G.
1 Chen, Hanlin
1 Chen, Yang
1 Choquard, Philippe
1 Chow, Kwokwing
1 Chung, Kwok-Wai
1 Cobb, John
1 Cruz-Pacheco, Gustavo
1 Deng, Guifeng
1 Diamantidis, Sevastos
1 Diaz Diaz, Jesus Ildefonso
1 Djadli, Zindine
1 Dos Santos Lima, G. Z.
1 Dowell, Earl H.
1 Drossos, Lambros
1 Ercolani, Nicholas M.
1 Forbes, Lawrence K.
1 Forest, Mark Gregory
1 Fotopoulos, Georgios
1 Frantzeskakis, Dimitri J.
1 Galuzio, Paulo P.
1 Gao, Yitian
1 Germain, Pierre
1 Gesztesy, Fritz
1 Ghoudi, Rabeh
1 Giuliani, Filippo
1 Gomez-Rosales, C. A.
1 Grinevich, Pëtr Georgievich
1 Guardia, Marcel
1 Guimarães-Filho, Z. O. A.
...and 113 more Authors
all top 5

Cited in 70 Serials

11 Physica D
8 Studies in Applied Mathematics
7 Chaos, Solitons and Fractals
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Communications in Nonlinear Science and Numerical Simulation
5 Journal of Mathematical Analysis and Applications
5 Applied Mathematics and Mechanics. (English Edition)
4 Communications in Mathematical Physics
4 Journal of Differential Equations
4 Journal of Nonlinear Science
3 Journal of Fluid Mechanics
3 Journal of Mathematical Physics
3 Theoretical and Mathematical Physics
3 Mathematische Annalen
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Transactions of the American Mathematical Society
3 Applied Mathematics Letters
3 Nonlinear Dynamics
3 Journal of Mathematical Fluid Mechanics
3 Acta Mathematica Sinica. English Series
3 Journal of Nonlinear Mathematical Physics
2 Computers & Mathematics with Applications
2 Communications on Pure and Applied Mathematics
2 Journal of Computational Physics
2 Mathematical Methods in the Applied Sciences
2 Nonlinearity
2 Physics Letters. A
2 Mathematics and Computers in Simulation
2 Memoirs of the American Mathematical Society
2 SIAM Journal on Applied Mathematics
2 Physics of Fluids
2 Chaos
2 Arabian Journal of Mathematics
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 International Journal of Theoretical Physics
1 Journal d’Analyse Mathématique
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Wave Motion
1 The Mathematical Intelligencer
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Publications Mathématiques
1 Manuscripta Mathematica
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Mathematical and Computer Modelling
1 The Journal of Geometric Analysis
1 Communications in Partial Differential Equations
1 Topological Methods in Nonlinear Analysis
1 Calculus of Variations and Partial Differential Equations
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Geodesy
1 Journal of Inequalities and Applications
1 European Journal of Mechanics. B. Fluids
1 Regular and Chaotic Dynamics
1 Gravitation & Cosmology
1 Nonlinear Analysis. Real World Applications
1 Communications on Pure and Applied Analysis
1 Boundary Value Problems
1 Mathematics in Computer Science
1 European Actuarial Journal

Citations by Year