# zbMATH — the first resource for mathematics

## He, Lingbing

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 Author ID: he.lingbing Published as: He, L.; He, Ling-Bing; He, Lingbing
 Documents Indexed: 37 Publications since 1996
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#### Co-Authors

 6 single-authored 3 Chen, Yemin 2 Danchin, Raphaël 2 Desvillettes, Laurent 2 Le Bris, Claude 2 Lelièvre, Tony 2 Xu, Li 2 Zhang, Ping 1 Alexandre, Radjesvarane 1 Benoit, David 1 Carrapatoso, Kleber 1 Goudon, Thierry 1 Huang, Jingchi 1 Jiang, Jin-Cheng 1 Moussa, Ayman 1 Wang, Chao 1 Yang, Xiongfeng 1 Yu, Pin 1 Zhang, Zhifei 1 Zhou, Yulong
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#### Serials

 5 Archive for Rational Mechanics and Analysis 4 SIAM Journal on Mathematical Analysis 3 Kinetic and Related Models 2 Journal of Statistical Physics 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Asymptotic Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Discrete and Continuous Dynamical Systems 1 Annals of PDE
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#### Fields

 22 Partial differential equations (35-XX) 16 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH

33 Publications have been cited 263 times in 218 Documents Cited by Year
The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium. Zbl 1217.35142
Goudon, Thierry; He, Lingbing; Moussa, Ayman; Zhang, Ping
2010
Smoothing effects for classical solutions of the full Landau equation. Zbl 1169.76064
Chen, Yemin; Desvillettes, Laurent; He, Lingbing
2009
Smoothing estimates for Boltzmann equation with full-range interactions: spatially homogeneous case. Zbl 1318.76018
Chen, Yemin; He, Lingbing
2011
The incompressible limit in $$L^p$$ type critical spaces. Zbl 1354.35096
Danchin, Raphaël; He, Lingbing
2016
Global well-posedness for viscoelastic fluid system in bounded domains. Zbl 1278.76010
He, Lingbing; Xu, Li
2010
On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. Zbl 1398.35170
He, Ling-Bing; Xu, Li; Yu, Pin
2018
Solving the discrete KdV equation with homotopy analysis method. Zbl 1209.65122
Zou, L.; Zong, Z.; Wang, Zhen; He, L.
2007
Modeling bimaterial interface cracks using the numerical manifold method. Zbl 1351.74166
An, X. M.; Zhao, Z. Y.; Zhang, H. H.; He, L.
2013
Smoothing estimates of 2d incompressible Navier-Stokes equations in bounded domains with applications. Zbl 1234.35180
He, Lingbing
2012
Convergence analysis of a parallel interfield method for heterogeneous simulations with dynamic substructuring. Zbl 1195.74062
Bonelli, A.; Bursi, O. S.; He, L.; Magonette, G.; Pegon, P.
2008
Well-posedness and asymptotics of grazing collisions limit of Boltzmann equation with Coulomb interaction. Zbl 1315.35140
He, Lingbing; Yang, Xiongfeng
2014
Estimates for the large time behavior of the Landau equation in the Coulomb case. Zbl 1390.35360
Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing
2017
Smoothing estimates for Boltzmann equation with full-range interactions: spatially inhomogeneous case. Zbl 06101988
Chen, Yemin; He, Lingbing
2012
Novel generalized-$$\alpha$$ methods for interfield parallel integration of heterogeneous structural dynamic systems. Zbl 1196.37121
Bursi, O. S.; He, L.; Bonelli, A.; Pegon, P.
2010
Asymptotic analysis of the spatially homogeneous Boltzmann equation: grazing collisions limit. Zbl 1291.35162
He, Lingbing
2014
Proof of linear independence of flat-top PU-based high-order approximation. Zbl 1297.65141
An, X. M.; Liu, X. Y.; Zhao, Z. Y.; He, L.
2014
Well-posedness of spatially homogeneous Boltzmann equation with full-range interaction. Zbl 1253.35093
He, Lingbing
2012
$$L^2$$ decay of solutions to a micro-macro model for polymeric fluids near equilibrium. Zbl 1171.76003
He, Lingbing; Zhang, Ping
2009
Integral estimates for a linear singular operator linked with Boltzmann operators. II. High singularities $$1\leq\nu<2$$. Zbl 1155.35074
2008
Sharp bounds for Boltzmann and Landau collision operators. Zbl 1428.35266
He, Ling-Bing
2018
Development of contact algorithm for three-dimensional numerical manifold method. Zbl 1352.74480
He, L.; An, X. M.; Zhao, Z. Y.
2014
Numerical solutions comparison for interval linear programming problems based on coverage and validity rates. Zbl 1427.65094
Lu, H. W.; Cao, M. F.; Wang, Y.; Fan, X.; He, L.
2014
The Oberbeck-Boussinesq approximation in critical spaces. Zbl 1294.35093
Danchin, Raphaël; He, Lingbing
2013
On the global smooth solution to 2-D fluid/particle system. Zbl 1186.74013
He, Lingbing
2010
High order approximation for the Boltzmann equation without angular cutoff. Zbl 1405.35129
He, Lingbing; Zhou, Yulong
2018
An inexact programming approach for urban electric power systems management under random-interval-parameter uncertainty. Zbl 1443.91219
Lu, H. W.; Cao, M. F.; Li, J.; Huang, G. H.; He, L.
2015
Periodic long-time behaviour for an approximate model of nematic polymers. Zbl 1250.35031
He, Lingbing; Le Bris, Claude; Lelièvre, Tony
2012
ISMISIP: an inexact stochastic mixed integer linear semi-infinite programming approach for solid waste management and planning under uncertainty. Zbl 1409.90210
Guo, P.; Huang, G. H.; He, L.
2008
Regularities of the solutions to the Fokker-Planck-Boltzmann equation. Zbl 1185.35188
He, Lingbing
2008
Geometrical effect on detonation initiation by a nonuniform hot pocket of reactive gas. Zbl 1023.76598
He, L.; Law, C. K.
1996
Global stability of large solutions to the 3D compressible Navier-Stokes equations. Zbl 1430.35187
He, Lingbing; Huang, Jingchi; Wang, Chao
2019
Well-posedness and scattering for the Boltzmann equations: soft potential with cut-off. Zbl 1375.35300
He, Lingbing; Jiang, Jin-Cheng
2017
Environmental impact assessment in an uncertain environment. Zbl 1060.90567
Hui, I. K.; He, L.; Dang, C.
2002
Global stability of large solutions to the 3D compressible Navier-Stokes equations. Zbl 1430.35187
He, Lingbing; Huang, Jingchi; Wang, Chao
2019
On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. Zbl 1398.35170
He, Ling-Bing; Xu, Li; Yu, Pin
2018
Sharp bounds for Boltzmann and Landau collision operators. Zbl 1428.35266
He, Ling-Bing
2018
High order approximation for the Boltzmann equation without angular cutoff. Zbl 1405.35129
He, Lingbing; Zhou, Yulong
2018
Estimates for the large time behavior of the Landau equation in the Coulomb case. Zbl 1390.35360
Carrapatoso, Kleber; Desvillettes, Laurent; He, Lingbing
2017
Well-posedness and scattering for the Boltzmann equations: soft potential with cut-off. Zbl 1375.35300
He, Lingbing; Jiang, Jin-Cheng
2017
The incompressible limit in $$L^p$$ type critical spaces. Zbl 1354.35096
Danchin, Raphaël; He, Lingbing
2016
An inexact programming approach for urban electric power systems management under random-interval-parameter uncertainty. Zbl 1443.91219
Lu, H. W.; Cao, M. F.; Li, J.; Huang, G. H.; He, L.
2015
Well-posedness and asymptotics of grazing collisions limit of Boltzmann equation with Coulomb interaction. Zbl 1315.35140
He, Lingbing; Yang, Xiongfeng
2014
Asymptotic analysis of the spatially homogeneous Boltzmann equation: grazing collisions limit. Zbl 1291.35162
He, Lingbing
2014
Proof of linear independence of flat-top PU-based high-order approximation. Zbl 1297.65141
An, X. M.; Liu, X. Y.; Zhao, Z. Y.; He, L.
2014
Development of contact algorithm for three-dimensional numerical manifold method. Zbl 1352.74480
He, L.; An, X. M.; Zhao, Z. Y.
2014
Numerical solutions comparison for interval linear programming problems based on coverage and validity rates. Zbl 1427.65094
Lu, H. W.; Cao, M. F.; Wang, Y.; Fan, X.; He, L.
2014
Modeling bimaterial interface cracks using the numerical manifold method. Zbl 1351.74166
An, X. M.; Zhao, Z. Y.; Zhang, H. H.; He, L.
2013
The Oberbeck-Boussinesq approximation in critical spaces. Zbl 1294.35093
Danchin, Raphaël; He, Lingbing
2013
Smoothing estimates of 2d incompressible Navier-Stokes equations in bounded domains with applications. Zbl 1234.35180
He, Lingbing
2012
Smoothing estimates for Boltzmann equation with full-range interactions: spatially inhomogeneous case. Zbl 06101988
Chen, Yemin; He, Lingbing
2012
Well-posedness of spatially homogeneous Boltzmann equation with full-range interaction. Zbl 1253.35093
He, Lingbing
2012
Periodic long-time behaviour for an approximate model of nematic polymers. Zbl 1250.35031
He, Lingbing; Le Bris, Claude; Lelièvre, Tony
2012
Smoothing estimates for Boltzmann equation with full-range interactions: spatially homogeneous case. Zbl 1318.76018
Chen, Yemin; He, Lingbing
2011
The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium. Zbl 1217.35142
Goudon, Thierry; He, Lingbing; Moussa, Ayman; Zhang, Ping
2010
Global well-posedness for viscoelastic fluid system in bounded domains. Zbl 1278.76010
He, Lingbing; Xu, Li
2010
Novel generalized-$$\alpha$$ methods for interfield parallel integration of heterogeneous structural dynamic systems. Zbl 1196.37121
Bursi, O. S.; He, L.; Bonelli, A.; Pegon, P.
2010
On the global smooth solution to 2-D fluid/particle system. Zbl 1186.74013
He, Lingbing
2010
Smoothing effects for classical solutions of the full Landau equation. Zbl 1169.76064
Chen, Yemin; Desvillettes, Laurent; He, Lingbing
2009
$$L^2$$ decay of solutions to a micro-macro model for polymeric fluids near equilibrium. Zbl 1171.76003
He, Lingbing; Zhang, Ping
2009
Convergence analysis of a parallel interfield method for heterogeneous simulations with dynamic substructuring. Zbl 1195.74062
Bonelli, A.; Bursi, O. S.; He, L.; Magonette, G.; Pegon, P.
2008
Integral estimates for a linear singular operator linked with Boltzmann operators. II. High singularities $$1\leq\nu<2$$. Zbl 1155.35074
2008
ISMISIP: an inexact stochastic mixed integer linear semi-infinite programming approach for solid waste management and planning under uncertainty. Zbl 1409.90210
Guo, P.; Huang, G. H.; He, L.
2008
Regularities of the solutions to the Fokker-Planck-Boltzmann equation. Zbl 1185.35188
He, Lingbing
2008
Solving the discrete KdV equation with homotopy analysis method. Zbl 1209.65122
Zou, L.; Zong, Z.; Wang, Zhen; He, L.
2007
Environmental impact assessment in an uncertain environment. Zbl 1060.90567
Hui, I. K.; He, L.; Dang, C.
2002
Geometrical effect on detonation initiation by a nonuniform hot pocket of reactive gas. Zbl 1023.76598
He, L.; Law, C. K.
1996
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#### Cited by 330 Authors

 13 He, Lingbing 8 Morimoto, Yoshinori 8 Wu, Jiahong 7 Xu, Chao-Jiang 6 Strain, Robert M. 6 Ukai, Seiji 6 Xu, Jiang 6 Yang, Tong 5 Alexandre, Radjesvarane 5 Danchin, Raphaël 5 Zheng, Hong 4 Chen, Yemin 4 Fan, Lifeng 4 Ha, Seung-Yeal 4 Henderson, Christopher 4 Huang, Bingkang 4 Liao, Shijun 4 Qiu, Hua 4 Snelson, Stanley 4 Wang, Dehua 4 Yu, Cheng 4 Zhai, Xiaoping 3 Alonso, Ricardo J. 3 Bursi, Oreste S. 3 Carrapatoso, Kleber 3 Chae, Myeongju 3 Choi, Young-Pil 3 Combescure, Alain 3 Desvillettes, Laurent 3 Fan, Huo 3 Gressman, Philip T. 3 Guo, Yan 3 Hwang, Hyung Ju 3 Lee, Jihoon 3 Lei, Zhen 3 Lin, Hongxia 3 Liu, Shuangqian 3 Moussa, Ayman 3 Tarfulea, Andrei 3 Xiao, Qinghua 3 Yao, Lei 3 Yao, Zhengan 3 Zhang, Huihua 3 Zhang, Xiongtao 3 Zhou, Yi 3 Zhou, Yulong 2 Baranovskiĭ, Evgeniĭ Sergeevich 2 Bedrossian, Jacob 2 Bian, Dongfen 2 Bonelli, Alessio 2 Brun, Michaël 2 Chen, Zhimin 2 Cui, Haibo 2 El-Tawil, Magdy A. 2 Goudon, Thierry 2 Gravouil, Anthony 2 Gualdani, Maria Pia 2 Han-Kwan, Daniel 2 Han, Shangyu 2 Hassan, Hany N. 2 He, Longting 2 He, Siming 2 Hu, Weiwei 2 Jang, Jin Woo 2 Ji, Ruihong 2 Jiang, Peng 2 Jin, Shi 2 Kang, Kyungkeun 2 Le Bris, Claude 2 Lelièvre, Tony 2 Lin, Shi-You 2 Ma, Gaowa 2 Ma, Guowei 2 Ma, Xuan 2 Mu, Yanmin 2 Pan, Xinghong 2 Silvestre, Luis E. 2 Tan, Zhong 2 Titi, Edriss Saleh 2 Tristani, Isabelle 2 Vajravelu, Kuppalapalle 2 Wu, Kung-Chien 2 Yan, Li 2 Yu, Hongjun 2 Zhang, Haohui 2 Zhang, Lan 2 Zhao, Kun 2 Zheng, Xiaoming 2 Zhou, Daoguo 2 Zhu, Lu 2 Zhu, Yi 1 Aguilar-Ruiz, Jesus Salvador 1 Allahdadi, Mehdi 1 Arjmandzadeh, Ziba 1 Artëmov, Mikhail Anatol’evich 1 Asencio-Cortes, Gualberto 1 Bae, Hyeong-Ohk 1 Bagland, Véronique 1 Bally, Vlad 1 Baranger, Thouraya Nouri ...and 230 more Authors
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#### Cited in 81 Serials

 24 Journal of Differential Equations 19 Archive for Rational Mechanics and Analysis 10 Engineering Analysis with Boundary Elements 7 Communications in Mathematical Physics 7 Journal of Mathematical Fluid Mechanics 6 SIAM Journal on Mathematical Analysis 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Physics 5 Journal of Functional Analysis 4 Journal of Statistical Physics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Mathematics Letters 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Applied Mathematical Modelling 4 Nonlinear Analysis. Real World Applications 4 Communications on Pure and Applied Analysis 4 Kinetic and Related Models 3 Mathematical Methods in the Applied Sciences 3 Advances in Mathematics 3 International Journal for Numerical Methods in Engineering 3 Communications in Partial Differential Equations 3 Calculus of Variations and Partial Differential Equations 3 Communications in Nonlinear Science and Numerical Simulation 3 Annals of PDE 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Journal of Computational Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Journal of the American Mathematical Society 2 The Annals of Applied Probability 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Stochastic Environmental Research and Risk Assessment 2 Combustion Theory and Modelling 2 Science China. Mathematics 1 Nonlinearity 1 Wave Motion 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Physica D 1 Computational Mechanics 1 Sugaku Expositions 1 Neural Networks 1 Numerical Algorithms 1 European Journal of Operational Research 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Bulletin des Sciences Mathématiques 1 Mathematical Problems in Engineering 1 PAA. Pattern Analysis and Applications 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Brazilian Journal of Probability and Statistics 1 The ANZIAM Journal 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Intelligent and Fuzzy Systems 1 Analysis and Applications (Singapore) 1 International Journal of Computational Methods 1 Journal of Hyperbolic Differential Equations 1 Advances in Difference Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 Analysis & PDE 1 Kyoto Journal of Mathematics 1 International Journal of Structural Stability and Dynamics 1 International Journal of Applied and Computational Mathematics 1 Peking Mathematical Journal
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#### Cited in 28 Fields

 159 Partial differential equations (35-XX) 119 Fluid mechanics (76-XX) 37 Statistical mechanics, structure of matter (82-XX) 32 Numerical analysis (65-XX) 27 Mechanics of deformable solids (74-XX) 9 Ordinary differential equations (34-XX) 7 Operations research, mathematical programming (90-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Operator theory (47-XX) 4 Integral equations (45-XX) 4 Probability theory and stochastic processes (60-XX) 4 Geophysics (86-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)