Edit Profile (opens in new tab) Chen, Shiyi Compute Distance To: Compute Author ID: chen.shiyi Published as: Chen, Shiyi; Chen, S.; Chen, S. Y. more...less Homepage: https://en.coe.pku.edu.cn/faculty/facultyaz/891299.htm External Links: Wikidata · Google Scholar Documents Indexed: 109 Publications since 1987 4 Contributions as Editor Co-Authors: 138 Co-Authors with 112 Joint Publications 3,912 Co-Co-Authors all top 5 Co-Authors 0 single-authored 16 Doolen, Gary D. 16 Wang, Jianchun 15 Shi, Yipeng 14 Xia, Zhenhua 12 Wan, Minping 11 Xiao, Zuoli 7 Wang, Lianping 6 Lee, Cunbiao 6 Zhang, Raoyang 6 Zhang, Shengqi 5 Chen, Hudong 5 Eyink, Gregory L. 5 He, Xiaoyi 5 Holm, Darryl Dallas 5 Nie, Xiaobo 4 Robbins, Mark O. 4 Wang, Moran 4 Zhang, Dongxiao 3 Chen, Qiaoning 3 Chen, Song 3 Foiaș, Ciprian 3 Hou, Shuling 3 Kang, Qinjun 3 Li, Hui 3 Martínez, Daniel O. 3 Matthaeus, William H. 3 Olson, Eric J. 3 Rapaka, Saikiran 3 Titi, Edriss Saleh 3 Wu, Jiezhi 3 Xie, Chenyue 3 Yang, Yantao 3 Yu, Changping 3 Zheng, Qinmin 3 Zhou, Peiyuan 2 Brasseur, James G. 2 Cai, Qingdong 2 Cao, Nianzheng 2 Connington, Kevin W. 2 He, Guowei 2 Hong, Renkai 2 Kraichnan, Robert Harry 2 Li, Xinliang 2 Liu, Jin 2 Margolin, Len G. 2 Pawar, Rajesh J. 2 Stauffer, Philip H. 2 Sterling, James D. 2 Su, Zhuang 2 Wynne, Shannon 2 Xu, Dehao 2 Yang, Kun 2 Yang, Yan 2 Zhao, Yaomin 2 Zhong, Hongjie 2 Zhou, Ming-De 2 Zhou, Quan 2 Zhu, Yiding 2 Zou, Qisu 1 Abdel-Fattah, Amr 1 Alam, Muhammad Mahbub 1 Balhoff, Matthew T. 1 Bhanot, Gyan V. 1 Bin, Yuanwei 1 Buckius, Richard O. 1 Cao, Nianzhen 1 Chen, Kuanyu 1 Chen, Xi 1 Chen, Yu 1 Cogley, Allen C. 1 Dhruva, Brindesh 1 Diemer, K. 1 E, Weinan 1 Eggert, Kenneth 1 Feng, James J. 1 Gad-el-Hak, Mohamed 1 Georgiadis, John G. 1 Gong, Hongrui 1 Grunau, Daryl W. 1 Gu, Dingwei 1 Gupta, Vikrant 1 He, Lin 1 He, Wei 1 Hoekstra, Alfons G. 1 Huang, Xun 1 Jiang, Hanbo 1 Jiang, Zhou 1 Kandhai, Drona 1 Klioutchnikov, Igor 1 Kurien, Susan 1 Lei, Wenhai 1 Li, Cheng 1 Li, Larry Kin Bong 1 Liang, Gongyou 1 Liu, Luoqin 1 Liu, Xin 1 Liu, Yuming 1 Lookman, Turab 1 Luo, Xiongping 1 Mei, Renwei ...and 38 more Co-Authors all top 5 Serials 44 Journal of Fluid Mechanics 16 Physics of Fluids 11 Journal of Computational Physics 7 Communications in Computational Physics 6 Journal of Statistical Physics 5 Physica D 2 Computer Physics Communications 2 Complex Systems 2 Acta Mechanica Sinica 1 Computers and Fluids 1 Physics of Fluids, A 1 Applied Mathematics and Mechanics. (English Edition) 1 Advances in Hydrodynamics 1 Revue Roumaine des Sciences Techniques. Série de Mécanique Appliquée 1 Scientia Sinica. Series A 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Communications in Nonlinear Science and Numerical Simulation 1 Physical Review Letters 1 Journal of Turbulence 1 Advances in Applied Mathematics and Mechanics all top 5 Fields 108 Fluid mechanics (76-XX) 20 Statistical mechanics, structure of matter (82-XX) 7 Numerical analysis (65-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 3,243 times in 2,126 Documents Cited by ▼ Year ▼ Lattice Boltzmann method for fluid flows. Zbl 1398.76180Chen, Shiyi; Doolen, Gary D. 914 1998 A novel thermal model for the lattice Boltzmann method in incompressible limit. Zbl 0919.76068He, Xiaoyi; Chen, Shiyi; Doolen, Gary D. 238 1998 A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. Zbl 0954.76076He, Xiaoyi; Chen, Shiyi; Zhang, Raoyang 202 1999 Simulation of cavity flow by the lattice Boltzmann method. Zbl 0821.76060Hou, Shuling; Zou, Qisu; Chen, Shiyi; Doolen, Gary; Cogley, Allen C. 147 1995 Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. 145 1998 A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 113 1999 Stability analysis of lattice Boltzmann methods. Zbl 0840.76078Sterling, James D.; Chen, Shiyi 96 1996 On boundary conditions in lattice Boltzmann methods. Zbl 1027.76630Chen, Shiyi; Martínez, Daniel; Mei, Renwei 95 1996 The Camassa-Holm equations and turbulence. Zbl 1194.76069Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 95 1999 A consistent hydrodynamic boundary condition for the lattice Boltzmann method. Zbl 0846.76086Noble, David R.; Chen, Shiyi; Georgiadis, John G.; Buckius, Richard O. 77 1995 Direct numerical simulations of the Navier-Stokes alpha model. Zbl 1194.76080Chen, Shiyi; Holm, Darryl D.; Margolin, Len G.; Zhang, Raoyang 69 1999 Lattice-Boltzmann simulations of fluid flows in MEMS. Zbl 1007.82007Nie, Xiaobo; Doolen, Gary D.; Chen, Shiyi 69 2002 The joint cascade of energy and helicity in three-dimensional turbulence. Zbl 1185.76081Chen, Qiaoning; Chen, Shiyi; Eyink, Gregory L. 56 2003 A lattice Boltzmann model for multiphase fluid flows. Zbl 0797.76095Grunau, Daryl; Chen, Shiyi; Eggert, Kenneth 56 1993 Examination of hypotheses in the Kolmogorov refined turbulence theory through high-resolution simulations. I: Velocity field. Zbl 0860.76037Wang, Lian-Ping; Chen, Shiyi; Brasseur, James G.; Wyngaard, John C. 48 1996 A lattice Boltzmann subgrid model for high Reynolds number flows. Zbl 0923.76275Hou, S.; Sterling, J.; Chen, S.; Doolen, G. D. 47 1996 Lattice Boltzmann computational fluid dynamics in three dimensions. Zbl 0925.76516Chen, Shiyi; Wang, Zheng; Shan, Xiaowen; Doolen, Gary D. 42 1992 On the three-dimensional Rayleigh-Taylor instability. Zbl 1147.76410He, Xiaoyi; Zhang, Raoyang; Chen, Shiyi; Doolen, Gary D. 41 1999 A continuum and molecular dynamics hybrid method for micro- and nano-fluid flow. Zbl 1059.76060Nie, X. B.; Chen, S. Y.; E, Weinan; Robbins, M. O. 40 2004 Flow patterns in the sedimentation of an elliptical particle. Zbl 1171.76362Xia, Zhenhua; Connington, Kevin W.; Rapaka, Saikiran; Yue, Pengtao; Feng, James J.; Chen, Shiyi 39 2009 Comparison of spectral method and lattice Boltzmann simulations of two- dimensional hydrodynamics. Zbl 0826.76069Martínez, D. O.; Matthaeus, W. H.; Chen, S.; Montgomery, D. C. 35 1994 A improved incompressible lattice Boltzmann model for time-independent flows. Zbl 1106.82366Zou, Qisu; Hou, Shuling; Chen, Shiyi; Doolen, Gary D. 33 1995 Displacement of a two-dimensional immiscible droplet in a channel. Zbl 1185.76192Kang, Qinjun; Zhang, Dongxiao; Chen, Shiyi 32 2002 A hybrid numerical simulation of isotropic compressible turbulence. Zbl 1346.76114Wang, J.; Wang, Lian-Ping; Xiao, Zuoli; Shi, Yipeng; Chen, S. 31 2010 Resonant interactions in rotating homogeneous three-dimensional turbulence. Zbl 1097.76033Chen, Qiaoning; Chen, Shiyi; Eyink, Gregory L.; Holm, Darryl D. 25 2005 Effect of compressibility on the small-scale structures in isotropic turbulence. Zbl 1284.76214Wang, Jianchun; Shi, Yipeng; Wang, Lian-Ping; Xiao, Zuoli; He, X. T.; Chen, Shiyi 23 2012 Interface and surface tension in incompressible lattice Boltzmann multiphase model. Zbl 0990.76073Zhang, Raoyang; He, Xiaoyi; Chen, Shiyi 23 2000 Roughness and cavitations effects on electro-osmotic flows in rough microchannels using the lattice Poisson-Boltzmann methods. Zbl 1310.76148Wang, Moran; Wang, Jinku; Chen, Shiyi 23 2007 Displacement of a three-dimensional immiscible droplet in a duct. Zbl 1085.76557Kang, Qinjun; Zhang, Dongxiao; Chen, Shiyi 21 2005 Statistics and structures of pressure in isotropic turbulence. Zbl 1147.76352Cao, Nianzheng; Chen, Shiyi; Doolen, Gary D. 21 1999 Is there a statistical mechanics of turbulence? Zbl 0687.76049Kraichnan, Robert H.; Chen, Shiyi 19 1989 Physical mechanism of the inverse energy cascade of two-dimensional turbulence: a numerical investigation. Zbl 1156.76409Xiao, Z.; Wan, M.; Chen, S.; Eyink, G. L. 18 2009 Kinetic energy transfer in compressible isotropic turbulence. Zbl 1419.76252Wang, Jianchun; Wan, Minping; Chen, Song; Chen, Shiyi 16 2018 Experimental investigation of freely falling thin disks. II: Transition of three-dimensional motion from zigzag to spiral. Zbl 1294.76028Lee, Cunbiao; Su, Zhuang; Zhong, Hongjie; Chen, Shiyi; Zhou, Mingde; Wu, Jiezhi 15 2013 Non-modal growth of perturbations in density-driven convection in porous media. Zbl 1147.76030Rapaka, Saikiran; Chen, Shiyi; Pawar, Rajesh J.; Stauffer, Philip H.; Zhang, Dongxiao 14 2008 A continuum-atomistic simulation of heat transfer in micro- and nano-flows. Zbl 1130.80010Liu, Jin; Chen, Shiyi; Nie, Xiaobo; Robbins, Mark O. 14 2007 Simulations of a randomly advected passive scalar field. Zbl 1185.76744Chen, Shiyi; Kraichnan, Robert H. 14 1998 Examination of hypotheses in the Kolmogorov refined turbulence theory through high-resolution simulations. II: Passive scalar field. Zbl 1059.76512Wang, Lian-Ping; Chen, Shiyi; Brasseur, James G. 13 1999 Experimental investigation of freely falling thin disks. I: The flow structures and Reynolds number effects on the zigzag motion. Zbl 1284.76035Zhong, Hongjie; Lee, Cunbiao; Su, Zhuang; Chen, Shiyi; Zhou, Mingde; Wu, Jiezhi 12 2013 Evolution of material surfaces in the temporal transition in channel flow. Zbl 1382.76132Zhao, Yaomin; Yang, Yue; Chen, Shiyi 11 2016 Reynolds-stress-constrained large eddy simulation of wall-bounded turbulent flows. Zbl 1248.76093Chen, Shiyi; Xia, Zhenhua; Pei, Suyang; Wang, Jianchun; Yang, Yantao; Xiao, Zuoli; Shi, Yipeng 11 2012 Direct numerical simulation of turbulent channel flow with spanwise rotation. Zbl 1338.76039Xia, Zhenhua; Shi, Yipeng; Chen, Shiyi 10 2016 Finite difference lattice-BGK methods on nested grids. Zbl 0976.76067Kandhai, D.; Soll, W.; Chen, Shiyi; Hoekstra, A.; Sloot, P. 10 2000 Newly identified principle for aerodynamic heating in hypersonic flows. Zbl 1415.76288Zhu, Yiding; Lee, Cunbiao; Chen, Xi; Wu, Jiezhi; Chen, Shiyi; Gad-El-Hak, Mohamed 9 2018 Dual channels of helicity cascade in turbulent flows. Zbl 1460.76368Yan, Zheng; Li, Xinliang; Yu, Changping; Wang, Jianchun; Chen, Shiyi 9 2020 Onset of convection over a transient base-state in anisotropic and layered porous media. Zbl 1183.76716Rapaka, Saikiran; Pawar, Rajesh J.; Stauffer, Philip H.; Zhang, Dongxiao; Chen, Shiyi 8 2009 Hybrid continuum-atomistic simulation of singular corner flow. Zbl 1187.76383Nie, Xiaobo; Chen, Shiyi; Robbins, Mark O. 8 2004 Dissipation-energy flux correlations as evidence for the Lagrangian energy cascade in turbulence. Zbl 1190.76128Wan, Minping; Xiao, Zuoli; Meneveau, Charles; Eyink, Gregory L.; Chen, Shiyi 7 2010 Peristaltic particle transport using the lattice Boltzmann method. Zbl 1183.76156Connington, Kevin; Kang, Qinjun; Viswanathan, Hari; Abdel-Fattah, Amr; Chen, Shiyi 7 2009 Anomalous scaling of low-order structure functions of turbulent velocity. Zbl 1074.76030Chen, S. Y.; Dhruva, B.; Kurien, S.; Sreenivasan, K. R.; Taylor, M. A. 7 2005 The scaling of pressure in isotropic turbulence. Zbl 1185.76668Nelkin, Mark; Chen, Shiyi 7 1998 Multiple states in turbulent plane Couette flow with spanwise rotation. Zbl 1419.76385Xia, Zhenhua; Shi, Yipeng; Cai, Qingdong; Wan, Minping; Chen, Shiyi 6 2018 A lattice gas model with temperature. Zbl 0687.76080Chen, S.; Lee, M.; Zhao, K. H.; Doolen, Gary D. 6 1989 An intermittency model for passive-scalar turbulence. Zbl 1185.76742Cao, Nianzheng; Chen, Shiyi 6 1997 Constrained subgrid-scale stress model for large eddy simulation. Zbl 1182.76693Shi, Yipeng; Xiao, Zuoli; Chen, Shiyi 6 2008 Controlling flow reversal in two-dimensional Rayleigh-Bénard convection. Zbl 1460.76731Zhang, Shengqi; Xia, Zhenhua; Zhou, Quan; Chen, Shiyi 5 2020 Cascades of temperature and entropy fluctuations in compressible turbulence. Zbl 1415.76265Wang, Jianchun; Wan, Minping; Chen, Song; Xie, Chenyue; Wang, Lian-Ping; Chen, Shiyi 5 2019 Intermittency caused by compressibility: a Lagrangian study. Zbl 1381.76116Yang, Yantao; Wang, Jianchun; Shi, Yipeng; Xiao, Zuoli; He, X. T.; Chen, Shiyi 5 2016 Magnetohydrodynamics computations with lattice gas automata. Zbl 0923.76227Chen, Shiyi; Martínez, Daniel O.; Matthaeus, W. H.; Chen, Hudong 5 1992 Constrained large-eddy simulation of separated flow in a channel with streamwise-periodic constrictions. Zbl 1273.76231Xia, Zhenhua; Shi, Yipeng; Hong, Renkai; Xiao, Zuoli; Chen, Shiyi 5 2013 Effect of flow topology on the kinetic energy flux in compressible isotropic turbulence. Zbl 1430.76209Wang, Jianchun; Wan, Minping; Chen, Song; Xie, Chenyue; Zheng, Qinmin; Wang, Lian-Ping; Chen, Shiyi 4 2020 Numerical study of chemically reacting flow in a shock tube using a high-order point-implicit scheme. Zbl 07048391Chen, S.; Sun, Q.; Klioutchnikov, I.; Olivier, H. 4 2019 Growth kinetics in multicomponent fluids. Zbl 1106.82347Chen, Shiyi; Lookman, Turab 4 1995 Theoretical model of scattering from flow ducts with semi-infinite axial liner splices. Zbl 1338.76114Liu, Xin; Jiang, Hanbo; Huang, Xun; Chen, Shiyi 4 2016 A hybrid scheme for compressible magnetohydrodynamic turbulence. Zbl 1351.76196Yang, Yan; Wan, Minping; Shi, Yipeng; Yang, Kun; Chen, Shiyi 4 2016 Vortex reconnection in the late transition in channel flow. Zbl 1462.76045Zhao, Yaomin; Yang, Yue; Chen, Shiyi 3 2016 Constrained large-eddy simulation of compressible flow past a circular cylinder. Zbl 1373.76060Hong, Renkai; Xia, Zhenhua; Shi, Yipeng; Xiao, Zuoli; Chen, Shiyi 3 2014 A new idea to predict reshocked Richtmyer-Meshkov mixing: constrained large-eddy simulation. Zbl 1492.76064Bin, Yuanwei; Xiao, Mengjuan; Shi, Yipeng; Zhang, Yousheng; Chen, Shiyi 3 2021 How the lattice gas model for the Navier-Stokes equation improves when a new speed is added. Zbl 0724.76075Chen, Shiyi; Chen, Hudong; Doolen, Gary D. 2 1989 Coupling of high Knudsen number and non-ideal gas effects in microporous media. Zbl 1419.76330Wang, Ziyan; Wang, Moran; Chen, Shiyi 2 2018 A two-dimensional-three-component model for spanwise rotating plane Poiseuille flow. Zbl 1430.76483Zhang, Shengqi; Xia, Zhenhua; Shi, Yipeng; Chen, Shiyi 2 2019 Recent progress in compressible turbulence. Zbl 1346.76044Chen, Shiyi; Xia, Zhenhua; Wang, Jianchun; Yang, Yantao 2 2015 Stabilizing/destabilizing the large-scale circulation in turbulent Rayleigh-Bénard convection with sidewall temperature control. Zbl 1461.76251Zhang, Shengqi; Chen, Xin; Xia, Zhenhua; Xi, Heng-Dong; Zhou, Quan; Chen, Shiyi 2 2021 Self-adaptive preferential flow control using displacing fluid with dispersed polymers in heterogeneous porous media. Zbl 1461.76444Xie, Chiyu; Lei, Wenhai; Balhoff, Matthew T.; Wang, Moran; Chen, Shiyi 2 2021 Calculations of longitudinal and transverse velocity structure functions using a vortex model of isotropic turbulence. Zbl 1149.76404He, Guowei; Doolen, Gary D.; Chen, Shiyi 2 1999 Dynamics of transitional boundary layer. Zbl 1180.76002Lee, Cunbiao; Chen, Shiyi 2 2006 Image-based modelling of the skin-friction coefficient in compressible boundary-layer transition. Zbl 1419.76337Zheng, Wenjie; Ruan, Shanxin; Yang, Yue; He, Lin; Chen, Shiyi 1 2019 Simulation of self-assemblies of colloidal particles on the substrate using a lattice Boltzmann pseudo-solid model. Zbl 1349.82013Liang, Gongyou; Zeng, Zhong; Chen, Yu; Onishi, Junya; Ohashi, Hirotada; Chen, Shiyi 1 2013 Gibbsian hypothesis in turbulence. Zbl 1137.76390Eyink, Gregory L.; Chen, Shiyi; Chen, Qiaoning 1 2003 Interscale kinetic energy transfer in chemically reacting compressible isotropic turbulence. Zbl 1461.76194Teng, Jian; Wang, Jianchun; Li, Hui; Chen, Shiyi 1 2021 A novel solver for simulation of flows from continuum regime to rarefied regime at moderate Knudsen number. Zbl 1440.76138Liu, Z. J.; Shu, C.; Chen, S. Y.; Yang, L. M.; Wan, M. P.; Liu, W. 1 2020 Density and velocity dependence of Reynolds numbers for several lattice gas models. Zbl 0718.76082Diemer, K.; Hunt, K.; Chen, S.; Shimomura, T.; Doolen, G. 1 1990 A memory-saving algorithm for spectral method of three-dimensional homogeneous isotropic turbulence. Zbl 1364.76063Cai, Qing-Dong; Chen, Shiyi 1 2011 Molecular simulations of electroosmotic flows in rough nanochannels. Zbl 1197.78017Liu, Jin; Wang, Moran; Chen, Shiyi; Robbins, Mark O. 1 2010 Simple lattice gas models for waves. Zbl 0656.76066Chen, Hudong; Chen, Shiyi; Doolen, Gary; Lee, Y. C. 1 1988 A second-order dynamic subgrid-scale stress model. Zbl 0955.76525Gong, Hongrui; Chen, Shiyi; He, Guowei; Cao, Nianzhen 1 2000 Recent advances in lattice Boltzmann methods. Zbl 0979.76068Chen, Shiyi; Doolen, Gary D.; He, Xiaoyi; Nie, Xiaobo; Zhang, Raoyang 1 1999 Some new directions in science on computers. Zbl 1071.68558 1 1997 Transport of particles in an atmospheric turbulent boundary layer. Zbl 1202.76072Luo, Xiongping; Chen, Shiyi 1 2005 Constrained large-eddy simulation of turbulent flow and heat transfer in a stationary ribbed duct. Zbl 1356.76127Jiang, Zhou; Xiao, Zuoli; Shi, Yipeng; Chen, Shiyi 1 2016 A new idea to predict reshocked Richtmyer-Meshkov mixing: constrained large-eddy simulation. Zbl 1492.76064Bin, Yuanwei; Xiao, Mengjuan; Shi, Yipeng; Zhang, Yousheng; Chen, Shiyi 3 2021 Stabilizing/destabilizing the large-scale circulation in turbulent Rayleigh-Bénard convection with sidewall temperature control. Zbl 1461.76251Zhang, Shengqi; Chen, Xin; Xia, Zhenhua; Xi, Heng-Dong; Zhou, Quan; Chen, Shiyi 2 2021 Self-adaptive preferential flow control using displacing fluid with dispersed polymers in heterogeneous porous media. Zbl 1461.76444Xie, Chiyu; Lei, Wenhai; Balhoff, Matthew T.; Wang, Moran; Chen, Shiyi 2 2021 Interscale kinetic energy transfer in chemically reacting compressible isotropic turbulence. Zbl 1461.76194Teng, Jian; Wang, Jianchun; Li, Hui; Chen, Shiyi 1 2021 Dual channels of helicity cascade in turbulent flows. Zbl 1460.76368Yan, Zheng; Li, Xinliang; Yu, Changping; Wang, Jianchun; Chen, Shiyi 9 2020 Controlling flow reversal in two-dimensional Rayleigh-Bénard convection. Zbl 1460.76731Zhang, Shengqi; Xia, Zhenhua; Zhou, Quan; Chen, Shiyi 5 2020 Effect of flow topology on the kinetic energy flux in compressible isotropic turbulence. Zbl 1430.76209Wang, Jianchun; Wan, Minping; Chen, Song; Xie, Chenyue; Zheng, Qinmin; Wang, Lian-Ping; Chen, Shiyi 4 2020 A novel solver for simulation of flows from continuum regime to rarefied regime at moderate Knudsen number. Zbl 1440.76138Liu, Z. J.; Shu, C.; Chen, S. Y.; Yang, L. M.; Wan, M. P.; Liu, W. 1 2020 Cascades of temperature and entropy fluctuations in compressible turbulence. Zbl 1415.76265Wang, Jianchun; Wan, Minping; Chen, Song; Xie, Chenyue; Wang, Lian-Ping; Chen, Shiyi 5 2019 Numerical study of chemically reacting flow in a shock tube using a high-order point-implicit scheme. Zbl 07048391Chen, S.; Sun, Q.; Klioutchnikov, I.; Olivier, H. 4 2019 A two-dimensional-three-component model for spanwise rotating plane Poiseuille flow. Zbl 1430.76483Zhang, Shengqi; Xia, Zhenhua; Shi, Yipeng; Chen, Shiyi 2 2019 Image-based modelling of the skin-friction coefficient in compressible boundary-layer transition. Zbl 1419.76337Zheng, Wenjie; Ruan, Shanxin; Yang, Yue; He, Lin; Chen, Shiyi 1 2019 Kinetic energy transfer in compressible isotropic turbulence. Zbl 1419.76252Wang, Jianchun; Wan, Minping; Chen, Song; Chen, Shiyi 16 2018 Newly identified principle for aerodynamic heating in hypersonic flows. Zbl 1415.76288Zhu, Yiding; Lee, Cunbiao; Chen, Xi; Wu, Jiezhi; Chen, Shiyi; Gad-El-Hak, Mohamed 9 2018 Multiple states in turbulent plane Couette flow with spanwise rotation. Zbl 1419.76385Xia, Zhenhua; Shi, Yipeng; Cai, Qingdong; Wan, Minping; Chen, Shiyi 6 2018 Coupling of high Knudsen number and non-ideal gas effects in microporous media. Zbl 1419.76330Wang, Ziyan; Wang, Moran; Chen, Shiyi 2 2018 Evolution of material surfaces in the temporal transition in channel flow. Zbl 1382.76132Zhao, Yaomin; Yang, Yue; Chen, Shiyi 11 2016 Direct numerical simulation of turbulent channel flow with spanwise rotation. Zbl 1338.76039Xia, Zhenhua; Shi, Yipeng; Chen, Shiyi 10 2016 Intermittency caused by compressibility: a Lagrangian study. Zbl 1381.76116Yang, Yantao; Wang, Jianchun; Shi, Yipeng; Xiao, Zuoli; He, X. T.; Chen, Shiyi 5 2016 Theoretical model of scattering from flow ducts with semi-infinite axial liner splices. Zbl 1338.76114Liu, Xin; Jiang, Hanbo; Huang, Xun; Chen, Shiyi 4 2016 A hybrid scheme for compressible magnetohydrodynamic turbulence. Zbl 1351.76196Yang, Yan; Wan, Minping; Shi, Yipeng; Yang, Kun; Chen, Shiyi 4 2016 Vortex reconnection in the late transition in channel flow. Zbl 1462.76045Zhao, Yaomin; Yang, Yue; Chen, Shiyi 3 2016 Constrained large-eddy simulation of turbulent flow and heat transfer in a stationary ribbed duct. Zbl 1356.76127Jiang, Zhou; Xiao, Zuoli; Shi, Yipeng; Chen, Shiyi 1 2016 Recent progress in compressible turbulence. Zbl 1346.76044Chen, Shiyi; Xia, Zhenhua; Wang, Jianchun; Yang, Yantao 2 2015 Constrained large-eddy simulation of compressible flow past a circular cylinder. Zbl 1373.76060Hong, Renkai; Xia, Zhenhua; Shi, Yipeng; Xiao, Zuoli; Chen, Shiyi 3 2014 Experimental investigation of freely falling thin disks. II: Transition of three-dimensional motion from zigzag to spiral. Zbl 1294.76028Lee, Cunbiao; Su, Zhuang; Zhong, Hongjie; Chen, Shiyi; Zhou, Mingde; Wu, Jiezhi 15 2013 Experimental investigation of freely falling thin disks. I: The flow structures and Reynolds number effects on the zigzag motion. Zbl 1284.76035Zhong, Hongjie; Lee, Cunbiao; Su, Zhuang; Chen, Shiyi; Zhou, Mingde; Wu, Jiezhi 12 2013 Constrained large-eddy simulation of separated flow in a channel with streamwise-periodic constrictions. Zbl 1273.76231Xia, Zhenhua; Shi, Yipeng; Hong, Renkai; Xiao, Zuoli; Chen, Shiyi 5 2013 Simulation of self-assemblies of colloidal particles on the substrate using a lattice Boltzmann pseudo-solid model. Zbl 1349.82013Liang, Gongyou; Zeng, Zhong; Chen, Yu; Onishi, Junya; Ohashi, Hirotada; Chen, Shiyi 1 2013 Effect of compressibility on the small-scale structures in isotropic turbulence. Zbl 1284.76214Wang, Jianchun; Shi, Yipeng; Wang, Lian-Ping; Xiao, Zuoli; He, X. T.; Chen, Shiyi 23 2012 Reynolds-stress-constrained large eddy simulation of wall-bounded turbulent flows. Zbl 1248.76093Chen, Shiyi; Xia, Zhenhua; Pei, Suyang; Wang, Jianchun; Yang, Yantao; Xiao, Zuoli; Shi, Yipeng 11 2012 A memory-saving algorithm for spectral method of three-dimensional homogeneous isotropic turbulence. Zbl 1364.76063Cai, Qing-Dong; Chen, Shiyi 1 2011 A hybrid numerical simulation of isotropic compressible turbulence. Zbl 1346.76114Wang, J.; Wang, Lian-Ping; Xiao, Zuoli; Shi, Yipeng; Chen, S. 31 2010 Dissipation-energy flux correlations as evidence for the Lagrangian energy cascade in turbulence. Zbl 1190.76128Wan, Minping; Xiao, Zuoli; Meneveau, Charles; Eyink, Gregory L.; Chen, Shiyi 7 2010 Molecular simulations of electroosmotic flows in rough nanochannels. Zbl 1197.78017Liu, Jin; Wang, Moran; Chen, Shiyi; Robbins, Mark O. 1 2010 Flow patterns in the sedimentation of an elliptical particle. Zbl 1171.76362Xia, Zhenhua; Connington, Kevin W.; Rapaka, Saikiran; Yue, Pengtao; Feng, James J.; Chen, Shiyi 39 2009 Physical mechanism of the inverse energy cascade of two-dimensional turbulence: a numerical investigation. Zbl 1156.76409Xiao, Z.; Wan, M.; Chen, S.; Eyink, G. L. 18 2009 Onset of convection over a transient base-state in anisotropic and layered porous media. Zbl 1183.76716Rapaka, Saikiran; Pawar, Rajesh J.; Stauffer, Philip H.; Zhang, Dongxiao; Chen, Shiyi 8 2009 Peristaltic particle transport using the lattice Boltzmann method. Zbl 1183.76156Connington, Kevin; Kang, Qinjun; Viswanathan, Hari; Abdel-Fattah, Amr; Chen, Shiyi 7 2009 Non-modal growth of perturbations in density-driven convection in porous media. Zbl 1147.76030Rapaka, Saikiran; Chen, Shiyi; Pawar, Rajesh J.; Stauffer, Philip H.; Zhang, Dongxiao 14 2008 Constrained subgrid-scale stress model for large eddy simulation. Zbl 1182.76693Shi, Yipeng; Xiao, Zuoli; Chen, Shiyi 6 2008 Roughness and cavitations effects on electro-osmotic flows in rough microchannels using the lattice Poisson-Boltzmann methods. Zbl 1310.76148Wang, Moran; Wang, Jinku; Chen, Shiyi 23 2007 A continuum-atomistic simulation of heat transfer in micro- and nano-flows. Zbl 1130.80010Liu, Jin; Chen, Shiyi; Nie, Xiaobo; Robbins, Mark O. 14 2007 Dynamics of transitional boundary layer. Zbl 1180.76002Lee, Cunbiao; Chen, Shiyi 2 2006 Resonant interactions in rotating homogeneous three-dimensional turbulence. Zbl 1097.76033Chen, Qiaoning; Chen, Shiyi; Eyink, Gregory L.; Holm, Darryl D. 25 2005 Displacement of a three-dimensional immiscible droplet in a duct. Zbl 1085.76557Kang, Qinjun; Zhang, Dongxiao; Chen, Shiyi 21 2005 Anomalous scaling of low-order structure functions of turbulent velocity. Zbl 1074.76030Chen, S. Y.; Dhruva, B.; Kurien, S.; Sreenivasan, K. R.; Taylor, M. A. 7 2005 Transport of particles in an atmospheric turbulent boundary layer. Zbl 1202.76072Luo, Xiongping; Chen, Shiyi 1 2005 A continuum and molecular dynamics hybrid method for micro- and nano-fluid flow. Zbl 1059.76060Nie, X. B.; Chen, S. Y.; E, Weinan; Robbins, M. O. 40 2004 Hybrid continuum-atomistic simulation of singular corner flow. Zbl 1187.76383Nie, Xiaobo; Chen, Shiyi; Robbins, Mark O. 8 2004 The joint cascade of energy and helicity in three-dimensional turbulence. Zbl 1185.76081Chen, Qiaoning; Chen, Shiyi; Eyink, Gregory L. 56 2003 Gibbsian hypothesis in turbulence. Zbl 1137.76390Eyink, Gregory L.; Chen, Shiyi; Chen, Qiaoning 1 2003 Lattice-Boltzmann simulations of fluid flows in MEMS. Zbl 1007.82007Nie, Xiaobo; Doolen, Gary D.; Chen, Shiyi 69 2002 Displacement of a two-dimensional immiscible droplet in a channel. Zbl 1185.76192Kang, Qinjun; Zhang, Dongxiao; Chen, Shiyi 32 2002 Interface and surface tension in incompressible lattice Boltzmann multiphase model. Zbl 0990.76073Zhang, Raoyang; He, Xiaoyi; Chen, Shiyi 23 2000 Finite difference lattice-BGK methods on nested grids. Zbl 0976.76067Kandhai, D.; Soll, W.; Chen, Shiyi; Hoekstra, A.; Sloot, P. 10 2000 A second-order dynamic subgrid-scale stress model. Zbl 0955.76525Gong, Hongrui; Chen, Shiyi; He, Guowei; Cao, Nianzhen 1 2000 A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. Zbl 0954.76076He, Xiaoyi; Chen, Shiyi; Zhang, Raoyang 202 1999 A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 113 1999 The Camassa-Holm equations and turbulence. Zbl 1194.76069Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 95 1999 Direct numerical simulations of the Navier-Stokes alpha model. Zbl 1194.76080Chen, Shiyi; Holm, Darryl D.; Margolin, Len G.; Zhang, Raoyang 69 1999 On the three-dimensional Rayleigh-Taylor instability. Zbl 1147.76410He, Xiaoyi; Zhang, Raoyang; Chen, Shiyi; Doolen, Gary D. 41 1999 Statistics and structures of pressure in isotropic turbulence. Zbl 1147.76352Cao, Nianzheng; Chen, Shiyi; Doolen, Gary D. 21 1999 Examination of hypotheses in the Kolmogorov refined turbulence theory through high-resolution simulations. II: Passive scalar field. Zbl 1059.76512Wang, Lian-Ping; Chen, Shiyi; Brasseur, James G. 13 1999 Calculations of longitudinal and transverse velocity structure functions using a vortex model of isotropic turbulence. Zbl 1149.76404He, Guowei; Doolen, Gary D.; Chen, Shiyi 2 1999 Recent advances in lattice Boltzmann methods. Zbl 0979.76068Chen, Shiyi; Doolen, Gary D.; He, Xiaoyi; Nie, Xiaobo; Zhang, Raoyang 1 1999 Lattice Boltzmann method for fluid flows. Zbl 1398.76180Chen, Shiyi; Doolen, Gary D. 914 1998 A novel thermal model for the lattice Boltzmann method in incompressible limit. Zbl 0919.76068He, Xiaoyi; Chen, Shiyi; Doolen, Gary D. 238 1998 Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. 145 1998 Simulations of a randomly advected passive scalar field. Zbl 1185.76744Chen, Shiyi; Kraichnan, Robert H. 14 1998 The scaling of pressure in isotropic turbulence. Zbl 1185.76668Nelkin, Mark; Chen, Shiyi 7 1998 An intermittency model for passive-scalar turbulence. Zbl 1185.76742Cao, Nianzheng; Chen, Shiyi 6 1997 Some new directions in science on computers. Zbl 1071.68558 1 1997 Stability analysis of lattice Boltzmann methods. Zbl 0840.76078Sterling, James D.; Chen, Shiyi 96 1996 On boundary conditions in lattice Boltzmann methods. Zbl 1027.76630Chen, Shiyi; Martínez, Daniel; Mei, Renwei 95 1996 Examination of hypotheses in the Kolmogorov refined turbulence theory through high-resolution simulations. I: Velocity field. Zbl 0860.76037Wang, Lian-Ping; Chen, Shiyi; Brasseur, James G.; Wyngaard, John C. 48 1996 A lattice Boltzmann subgrid model for high Reynolds number flows. Zbl 0923.76275Hou, S.; Sterling, J.; Chen, S.; Doolen, G. D. 47 1996 Simulation of cavity flow by the lattice Boltzmann method. Zbl 0821.76060Hou, Shuling; Zou, Qisu; Chen, Shiyi; Doolen, Gary; Cogley, Allen C. 147 1995 A consistent hydrodynamic boundary condition for the lattice Boltzmann method. Zbl 0846.76086Noble, David R.; Chen, Shiyi; Georgiadis, John G.; Buckius, Richard O. 77 1995 A improved incompressible lattice Boltzmann model for time-independent flows. Zbl 1106.82366Zou, Qisu; Hou, Shuling; Chen, Shiyi; Doolen, Gary D. 33 1995 Growth kinetics in multicomponent fluids. Zbl 1106.82347Chen, Shiyi; Lookman, Turab 4 1995 Comparison of spectral method and lattice Boltzmann simulations of two- dimensional hydrodynamics. Zbl 0826.76069Martínez, D. O.; Matthaeus, W. H.; Chen, S.; Montgomery, D. C. 35 1994 A lattice Boltzmann model for multiphase fluid flows. Zbl 0797.76095Grunau, Daryl; Chen, Shiyi; Eggert, Kenneth 56 1993 Lattice Boltzmann computational fluid dynamics in three dimensions. Zbl 0925.76516Chen, Shiyi; Wang, Zheng; Shan, Xiaowen; Doolen, Gary D. 42 1992 Magnetohydrodynamics computations with lattice gas automata. Zbl 0923.76227Chen, Shiyi; Martínez, Daniel O.; Matthaeus, W. H.; Chen, Hudong 5 1992 Density and velocity dependence of Reynolds numbers for several lattice gas models. Zbl 0718.76082Diemer, K.; Hunt, K.; Chen, S.; Shimomura, T.; Doolen, G. 1 1990 Is there a statistical mechanics of turbulence? Zbl 0687.76049Kraichnan, Robert H.; Chen, Shiyi 19 1989 A lattice gas model with temperature. Zbl 0687.76080Chen, S.; Lee, M.; Zhao, K. H.; Doolen, Gary D. 6 1989 How the lattice gas model for the Navier-Stokes equation improves when a new speed is added. Zbl 0724.76075Chen, Shiyi; Chen, Hudong; Doolen, Gary D. 2 1989 Simple lattice gas models for waves. Zbl 0656.76066Chen, Hudong; Chen, Shiyi; Doolen, Gary; Lee, Y. C. 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 3,404 Authors 53 Chen, Shiyi 49 Shi, Baochang 47 Shu, Chang 35 Chai, Zhenhua 31 Guo, Zhaoli 27 Chew, Yong-Tian 23 Rebholz, Leo G. 23 Yan, Guangwu 22 Succi, Sauro 21 Wang, Lianping 20 He, Yaling 20 Holm, Darryl Dallas 20 Niu, Xiaodong 19 Sagaut, Pierre 17 Huang, Haibo 17 Lu, Xiyun 17 Zheng, Chuguang 16 Tao, Wenquan 16 Titi, Edriss Saleh 15 Derksen, Jos J. 15 Luo, Lishi 15 Zhong, Chengwen 14 Chopard, Bastien 14 Krause, Mathias J. 14 Lee, Taehun 14 Shi, Yipeng 14 Wang, Jianchun 13 Junk, Michael 13 Xia, Zhenhua 13 Xu, Kun 13 Zhang, Jianying 12 Wang, Moran 12 Xiao, Zuoli 11 Chen, Sheng 11 Dellar, Paul J. 11 Krafczyk, Manfred 11 Liu, Haihu 11 Rahimian, Mohammad Hassan 11 Yoshino, Masato 11 Zhang, Yonghao 10 Antonia, Robert Anthony 10 Biferale, Luca 10 He, Xiaoyi 10 Kang, Qinjun 10 Karlin, Iliya V. 10 Mininni, Pablo D. 10 Pouquet, Annick G. 10 Premnath, Kannan N. 10 Rüde, Ulrich 10 Yong, Wen-An 9 Alexakis, Alexandros 9 Chen, Hudong 9 Doolen, Gary D. 9 Fakhari, Abbas 9 Klar, Axel 9 Latt, Jonas 9 Lin, Chao-An 9 Low, Hong-Tong 9 Tang, Gui-Hua 9 Toschi, Federico 9 Zhuo, Congshan 8 Aidun, Cyrus K. 8 Djenidi, Lyazid 8 Donzis, Diego A. 8 Hoekstra, Alfons G. 8 Leclaire, Sébastien 8 Shan, Xiaowen 8 Shyy, Wei 8 Sui, Yi 8 Tachim Medjo, Theodore 8 Tao, Shi 8 Ubertini, Stefano 8 Wang, Yan 8 Yang, Liming 8 Yu, Changping 8 Zhao, Weifeng 8 Zheng, Lin 8 Zhou, Jianguo 7 Asinari, Pietro 7 Cao, Jun 7 Deugoue, Gabriel 7 Du, Rui 7 Fried, Eliot 7 Karimipour, Arash 7 Kim, Tae-Yeon 7 Li, Decai 7 Li, Qing 7 Li, Weizhong 7 Li, Xinliang 7 Maute, Kurt 7 Neda, Monika 7 Pan, Liang 7 Peng, Cheng 7 Pingen, Georg 7 Sofonea, Victor 7 Sreenivasan, Katepalli R. 7 Tian, Fangbao 7 Tian, Lixin 7 Tian, Zhiwei 7 Wan, Minping ...and 3,304 more Authors all top 5 Cited in 190 Serials 279 Journal of Computational Physics 275 Computers and Fluids 254 Journal of Fluid Mechanics 158 Computers & Mathematics with Applications 132 Physics of Fluids 75 International Journal of Modern Physics C 45 International Journal for Numerical Methods in Fluids 43 Journal of Statistical Physics 38 International Journal of Computational Fluid Dynamics 37 Applied Mathematics and Computation 37 Applied Mathematical Modelling 35 Physica D 32 Physica A 32 European Journal of Mechanics. B. Fluids 27 Advances in Applied Mathematics and Mechanics 26 Computer Methods in Applied Mechanics and Engineering 26 Communications in Computational Physics 19 Journal of Scientific Computing 18 International Journal of Heat and Mass Transfer 16 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 15 Computer Physics Communications 14 Journal of Mathematical Analysis and Applications 14 International Journal for Numerical Methods in Engineering 14 Communications in Nonlinear Science and Numerical Simulation 13 International Journal of Numerical Methods for Heat & Fluid Flow 12 Mathematics and Computers in Simulation 12 Mathematical Problems in Engineering 12 Acta Mechanica Sinica 11 Journal of Turbulence 10 Modern Physics Letters B 9 International Journal of Modern Physics B 9 Acta Mechanica 9 Journal of Mathematical Physics 9 Engineering Analysis with Boundary Elements 7 Computational Mechanics 7 SIAM Journal on Scientific Computing 7 Journal of Mathematical Fluid Mechanics 7 Nonlinear Analysis. Real World Applications 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 7 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Journal of Computational and Applied Mathematics 6 International Journal of Computer Mathematics 6 Journal of Non-Newtonian Fluid Mechanics 6 Computational Geosciences 6 Journal of Statistical Mechanics: Theory and Experiment 6 AMM. Applied Mathematics and Mechanics. (English Edition) 5 Fluid Dynamics 5 Physics Reports 5 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Nonlinear Science 5 Science in China. Series E 4 Applicable Analysis 4 Journal of Engineering Mathematics 4 Meccanica 4 Applied Mathematics and Mechanics. (English Edition) 4 Applied Numerical Mathematics 4 Numerical Methods for Partial Differential Equations 4 Stochastic Processes and their Applications 4 Discrete and Continuous Dynamical Systems 4 Abstract and Applied Analysis 4 Flow, Turbulence and Combustion 4 Engineering Computations 4 Discrete and Continuous Dynamical Systems. Series B 4 International Journal of Computational Methods 3 Communications in Mathematical Physics 3 Geophysical and Astrophysical Fluid Dynamics 3 International Journal of Engineering Science 3 Chaos, Solitons and Fractals 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Mathematics Letters 3 Chaos 3 Journal of High Energy Physics 3 Journal of Applied Mathematics 3 Physical Review E. Third Series 3 Computational & Mathematical Methods in Medicine 3 Journal of Physics A: Mathematical and Theoretical 3 International Journal of Advances in Engineering Sciences and Applied Mathematics 3 International Journal of Applied and Computational Mathematics 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 International Journal of Theoretical Physics 2 Mathematical Methods in the Applied Sciences 2 Transport Theory and Statistical Physics 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Molecular Simulation 2 Theoretical and Computational Fluid Dynamics 2 Applied Mathematics and Optimization 2 Mathematische Annalen 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Acta Applicandae Mathematicae 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Computational Mathematics and Mathematical Physics 2 Journal of Non-Equilibrium Thermodynamics 2 Journal of Dynamics and Differential Equations 2 Continuum Mechanics and Thermodynamics 2 Computing and Visualization in Science 2 Journal of Applied Mechanics and Technical Physics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences ...and 90 more Serials all top 5 Cited in 38 Fields 1,957 Fluid mechanics (76-XX) 409 Numerical analysis (65-XX) 252 Partial differential equations (35-XX) 245 Statistical mechanics, structure of matter (82-XX) 127 Classical thermodynamics, heat transfer (80-XX) 91 Mechanics of deformable solids (74-XX) 68 Biology and other natural sciences (92-XX) 37 Geophysics (86-XX) 28 Dynamical systems and ergodic theory (37-XX) 27 Probability theory and stochastic processes (60-XX) 20 Computer science (68-XX) 14 Optics, electromagnetic theory (78-XX) 13 Quantum theory (81-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Systems theory; control (93-XX) 6 General and overarching topics; collections (00-XX) 5 Mechanics of particles and systems (70-XX) 4 Real functions (26-XX) 4 Statistics (62-XX) 4 Astronomy and astrophysics (85-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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