Edit Profile (opens in new tab) Li, Fucai Compute Distance To: Compute Author ID: li.fucai Published as: Li, Fucai; Li, Fu Cai; Li, Fu-Cai; Li, Fu-cai; Li, FuCai; Li, F. more...less Documents Indexed: 123 Publications since 1985 Co-Authors: 53 Co-Authors with 99 Joint Publications 2,260 Co-Co-Authors all top 5 Co-Authors 7 single-authored 35 Fan, Jishan 26 Nakamura, Gen 12 Ju, Qiangchang 11 Jiang, Song 9 Xie, Chunhong 6 Wang, Shu 5 Kwon, Young-Sam 5 Zhang, Zhipeng 4 Cameron, R. G. 4 Hsiao, Ling 4 Meng, Guang 4 Mu, Yanmin 4 Zhang, Shuxing 3 Hishida, Koichi 3 Yu, Hongjun 2 Guo, Liang 2 Huang, Shuxiang 2 Li, Hailiang 2 Li, Hongguang 2 Mossaheb, Shahkar 2 Sun, Xuewei 2 Wang, Dehua 2 Wu, Kung-Chien 2 Xiao, Ling 2 Xie, Feng 1 Abbas, Saqlain 1 Bai, Huiyu 1 Charalampidis, Efstathios G. 1 Chen, Jin 1 Chen, Peng 1 Chen, Yan 1 Chen, Youpeng 1 Chong, Christopher 1 Comfort, William Wistar 1 Dong, Guangming 1 Gross, Frank B. 1 Li, Ming 1 Li, Yong 1 Li, Yue 1 Lin, Chikun 1 Liu, Qilin 1 Liu, Zhiqiang 1 Pan, Ronghua 1 Peng, Haikuo 1 Sun, Baoyan 1 Sun, Weixiang 1 Tam, Kwok-Wai 1 Tan, Zhong 1 Tu, Xiaotong 1 Wang, Jinfu 1 Wang, Xiaohu 1 Wang, Yichun 1 Wu, Xing 1 Wu, Yuehua 1 Xin, Zhouping 1 Xue, Guohe 1 Yang, Xiuhui 1 Ye, Lin 1 Zen, Mei-Mei 1 Zhang, Guicai 1 Zhou, Shengtong 1 Zhu, Rui 1 Zhu, Yanping all top 5 Serials 8 Journal of Differential Equations 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 SIAM Journal on Mathematical Analysis 5 Discrete and Continuous Dynamical Systems 4 Acta Applicandae Mathematicae 4 Applied Mathematics Letters 4 Physics of Fluids 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Communications on Pure and Applied Analysis 4 Kinetic and Related Models 3 International Journal of Control 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Nonlinearity 3 Communications in Mathematical Sciences 2 Journal of Mathematical Analysis and Applications 2 Wave Motion 2 Acta Mathematica Sinica 2 Mathematical Problems in Engineering 2 Journal of Mathematical Fluid Mechanics 2 Acta Mathematica Sinica. English Series 2 Nonlinear Analysis. Real World Applications 2 Frontiers of Mathematics in China 2 Science China. Mathematics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 International Journal of Heat and Mass Transfer 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Mathematica Japonica 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Journal of Nanjing University. Mathematical Biquarterly 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Communications in Statistics. Theory and Methods 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Partial Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Journal of Vibration and Control 1 Mathematical and Computer Modelling of Dynamical Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Analysis in Theory and Applications 1 Analysis and Applications (Singapore) 1 Acta Mathematica Sinica. Chinese Series all top 5 Fields 100 Partial differential equations (35-XX) 77 Fluid mechanics (76-XX) 15 Statistical mechanics, structure of matter (82-XX) 5 Systems theory; control (93-XX) 4 Mechanics of deformable solids (74-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Biology and other natural sciences (92-XX) 3 Mechanics of particles and systems (70-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 956 times in 569 Documents Cited by ▼ Year ▼ Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions. Zbl 1195.35253Jiang, Song; Ju, Qiangchang; Li, Fucai 85 2010 Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations. Zbl 1218.35038Li, Fucai; Yu, Hongjun 62 2011 Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data. Zbl 1334.35216Jiang, Song; Ju, Qiangchang; Li, Fucai; Xin, Zhouping 61 2014 Incompressible limit of the compressible magnetohydrodynamic equations with vanishing viscosity coefficients. Zbl 1257.76164Jiang, Song; Ju, Qiangchang; Li, Fucai 46 2010 Low Mach number limit for the multi-dimensional full magnetohydrodynamic equations. Zbl 1376.76077Jiang, Song; Ju, Qiangchang; Li, Fucai 45 2012 Regularity criteria for the incompressible Hall-magnetohydrodynamic equations. Zbl 1297.35067Fan, Jishan; Li, Fucai; Nakamura, Gen 40 2014 Global existence and blow-up for a nonlinear porous medium equation. Zbl 1059.35067Li, Fucai; Xie, Chunhong 37 2003 Global existence and blow-up of solutions to a nonlocal reaction-diffusion system. Zbl 1043.35069Li, Fu-Cai; Huang, Shu-Xiang; Xie, Chun-Hong 34 2003 The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data. Zbl 1170.35075Ju, Qiangchang; Li, Fucai; Li, Hailiang 31 2009 Global and blow-up solutions to a \(p\)-Laplacian equation with nonlocal source. Zbl 1060.35055Li, Fu-Cai; Xie, Chun-Hong 26 2003 Strong solutions to the compressible Navier-Stokes-Vlasov-Fokker-Planck equations: global existence near the equilibrium and large time behavior. Zbl 1367.35110Li, Fucai; Mu, Yanmin; Wang, Dehua 26 2017 Convergence of the Navier-Stokes-Poisson system to the incompressible Navier-Stokes equations. Zbl 1152.76356Ju, Qiangchang; Li, Fucai; Wang, Shu 25 2008 Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. Zbl 1357.35244Fan, Jishan; Huang, Shuxiang; Li, Fucai 23 2017 Rigorous derivation of the compressible magnetohydrodynamic equations from the electromagnetic fluid system. Zbl 1366.76095Jiang, Song; Li, Fucai 21 2012 Regularity criteria for the three-dimensional magnetohydrodynamic equations. Zbl 1291.35175Fan, Jishan; Li, Fucai; Nakamura, Gen; Tan, Zhong 21 2014 Nonrelativistic limit of the compressible Navier-Stokes-Fourier-P1 approximation model arising in radiation hydrodynamics. Zbl 1331.35262Jiang, Song; Li, Fucai; Xie, Feng 19 2015 Convergence of the complete electromagnetic fluid system to the full compressible magnetohydrodynamic equations. Zbl 1333.35199Jiang, Song; Li, Fucai 18 2015 Quasineutral limit of the electro-diffusion model arising in electrohydrodynamics. Zbl 1239.35013Li, Fucai 17 2009 Asymptotic limits of the full compressible magnetohydrodynamic equations. Zbl 1282.76198Ju, Qiangchang; Li, Fucai; Li, Yong 16 2013 Low Mach number limit of the full compressible Navier-Stokes-Maxwell system. Zbl 1308.35221Li, Fucai; Mu, Yanmin 16 2014 Incompressible limit of the nonisentropic ideal magnetohydrodynamic equations. Zbl 1338.35367Jiang, Song; Ju, Qiangchang; Li, Fucai 14 2016 Global existence and blowup of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation. Zbl 1066.35062Li, Fucai 14 2004 Global existence and blow-up of solutions to a nonlocal quasilinear degenerate parabolic system. Zbl 1124.35032Li, Fucai 13 2007 Existence and blow-up for a degenerate parabolic equation with nonlocal source. Zbl 1015.35050Li, Fucai; Xie, Chunhong 12 2003 Zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system. Zbl 1308.76325Jiang, Song; Li, Fucai 12 2015 Local well-posedness for a compressible non-isothermal model for nematic liquid crystals. Zbl 1391.76043Fan, Jishan; Li, Fucai; Nakamura, Gen 12 2018 Quasineutral limit of the viscous quantum hydrodynamic model for semiconductors. Zbl 1160.82359Li, Fucai 11 2009 The union of resolvable spaces is resolvable. Zbl 0769.54002Comfort, W. W.; Feng, Li 11 1993 A blow-up criterion to the 2D full compressible magnetohydrodynamic equations. Zbl 1317.35009Fan, Jishan; Li, Fucai; Nakamura, Gen 10 2015 Global strong solution to the 2D density-dependent liquid crystal flows with vacuum. Zbl 1292.35201Fan, Jishan; Li, Fucai; Nakamura, Gen 10 2014 Uniform well-posedness and singular limits of the isentropic Navier-Stokes-Maxwell system in a bounded domain. Zbl 1327.76167Fan, Jishan; Li, Fucai; Nakamura, Gen 9 2015 Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces. Zbl 1353.76094Li, Fucai; Mu, Yanmin; Wang, Dehua 9 2017 Combined quasineutral and inviscid limit of the Vlasov-Poisson-Fokker-Planck system. Zbl 1144.35366Hsiao, Ling; Li, Fucai; Wang, Shu 9 2008 Convergence of the Vlasov-Poisson-Fokker-Planck system to the incompressible Euler equations. Zbl 1110.35072Xiao, Ling; Li, Fucai; Wang, Shu 8 2006 Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. Zbl 1356.76428Fan, Jishan; Li, Fucai; Nakamura, Gen 7 2016 Non-relativistic and low Mach number limits of two \(P1\) approximation model arising in radiation hydrodynamics. Zbl 1353.35031Fan, Jishan; Li, Fucai; Nakamura, Gen 7 2016 Investigation on the characteristics of turbulence transport for momentum and heat in a drag-reducing surfactant solution flow. Zbl 1187.76305Li, F.-C.; Kawaguchi, Y.; Hishida, K. 7 2004 Regularity criteria for the incompressible magnetohydrodynamic equations with partial viscosity. Zbl 1381.35137Fan, Jishan; Li, Fucai; Nakamura, Gen 6 2016 Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions. Zbl 1421.76268Guo, Liang; Li, Fucai; Xie, Feng 6 2019 Asymptotic behavior of solution for nonlocal reaction-diffusion system. Zbl 1029.35119Li, Fucai; Chen, Youpeng; Xie, Chunhong 5 2003 Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity. Zbl 1338.35358Fan, Jishan; Li, Fucai; Nakamura, Gen 5 2014 DNS study of decaying homogeneous isotropic turbulence with polymer additives. Zbl 1225.76171Cai, W.-H.; Li, F.-C.; Zhang, H.-N. 5 2010 Wave propagation analysis in composite laminates containing a delamination using a three-dimensional spectral element method. Zbl 1264.74279Li, Fucai; Peng, Haikuo; Sun, Xuewei; Wang, Jinfu; Meng, Guang 5 2012 Global strong solutions to the 3D full compressible Navier-Stokes system with vacuum in a bounded domain. Zbl 1384.35060Fan, Jishan; Li, Fucai 5 2018 Incompressible limit of the degenerate quantum compressible Navier-Stokes equations with general initial data. Zbl 1378.76148Kwon, Young-Sam; Li, Fucai 5 2018 The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data. Zbl 1181.35171Hsiao, Ling; Ju, Qiangchang; Li, Fucai 5 2009 Reynolds-number dependence of turbulence structures in a drag-reducing surfactant solution channel flow investigated by particle image velocimetry. Zbl 1187.76306Li, F.-C.; Kawaguchi, Y.; Segawa, T.; Hishida, K. 5 2005 Incompressible inviscid limit of the viscous two-fluid model with general initial data. Zbl 1415.76645Kwon, Young-Sam; Li, Fucai 4 2019 Regularity criteria for Navier-Stokes-Allen-Cahn and related systems. Zbl 1458.76116Fan, Jishan; Li, Fucai 4 2019 A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity. Zbl 1395.76104Fan, Jishan; Li, Fucai; Nakamura, Gen 4 2018 Uniform local well-posedness to the density-dependent Navier-Stokes-Maxwell system. Zbl 1306.35094Fan, Jishan; Li, Fucai 4 2014 Semigroup decay of the linearized Boltzmann equation in a torus. Zbl 1330.35284Li, Fucai; Wu, Kung-Chien 4 2016 Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain. Zbl 1333.76091Nakamura, Gen; Li, Fucai; Fan, Jishan 4 2015 Global strong solution to the two-dimensional density-dependent magnetohydrodynamic equations with vaccum. Zbl 1292.76075Fan, Jishan; Li, Fucai; Nakamura, Gen 4 2014 Regularity criteria for a mathematical model for the deformation of electrolyte droplets. Zbl 1426.76701Fan, Jishan; Li, Fucai; Nakamura, Gen 4 2013 Non-local effects in an integro-PDE model from population genetics. Zbl 1390.92090Li, F.; Nakashima, K.; Ni, W.-M. 4 2017 Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain. Zbl 1353.35224Fan, Jishan; Li, Fucai; Nakamura, Gen 4 2016 Low Mach number limit for the compressible magnetohydrodynamic equations in a periodic domain. Zbl 1393.76138Li, Fucai; Mu, Yanmin 3 2018 Asymptotic behavior of the solution for a diffusive system coupled with localized sources. Zbl 1093.35032Li, Fucai; Xue, Guohe 3 2005 Local well-posedness and blow-up criterion for a compressible Navier-Stokes-Fourier-\(P1\) approximate model arising in radiation hydrodynamics. Zbl 1387.35451Fan, Jishan; Li, Fucai; Nakamura, Gen 3 2017 Global strong solutions to the nonhomogeneous incompressible MHD equations in a bounded domain. Zbl 1412.35251Fan, Jishan; Li, Fucai 3 2019 Global existence and blow-up of solutions for parabolic systems involving cross-diffusion and nonlinear boundary conditions. Zbl 1112.35092Yang, Xiuhui; Li, Fucai; Xie, Chunhong 3 2005 Optimal exponential decay for the linearized ellipsoidal BGK model in weighted Sobolev spaces. Zbl 1453.82072Li, Fucai; Sun, Baoyan 3 2020 Low Mach number limit of the full compressible Hall-MHD system. Zbl 1364.76237Fan, Jishan; Li, Fucai; Nakamura, Gen 3 2017 Passivity and the design of sampled regulators for uncertain systems. Zbl 0623.93046Mossaheb, S.; Cameron, R. G.; Li, F. 3 1987 Global strong solutions to a coupled chemotaxis-fluid model with subcritical sensitivity. Zbl 1459.35361Fan, Jishan; Li, Fucai 3 2020 Global strong solutions to the 3D compressible non-isentropic MHD equations with zero resistivity. Zbl 1434.76146Fan, Jishan; Li, Fucai 3 2020 Zero viscosity-resistivity limit for the 3D incompressible magnetohydrodynamic equations in Gevrey class. Zbl 1397.35172Li, Fucai; Zhang, Zhipeng 2 2018 Quasi-neutral limit of the Navier-Stokes-Fourier-Poisson system for ionic dynamics. Zbl 1410.35128Kwon, Young-Sam; Li, Fucai 2 2019 A theoretical model to predict plume rise in shaft generated by growing compartment fire. Zbl 1209.80025Sun, X. Q.; Hu, L. H.; Chow, W. K.; Xu, Y.; Li, F. 2 2011 Large time behavior of the isentropic compressible Navier-Stokes-Maxwell system. Zbl 1359.76332Chen, Yan; Li, Fucai; Zhang, Zhipeng 2 2016 Decay rate of global classical solutions to the Landau equation with external force. Zbl 1148.82027Li, Fucai; Yu, Hongjun 2 2008 Global existence of classical solutions to the Boltzmann equation with external force for hard potentials. Zbl 1161.76052Li, Fucai; Yu, Hongjun 2 2008 Study on the characteristics of turbulent drag-reducing channel flow by particle image velocimetry combining with proper orthogonal decomposition analysis. Zbl 1183.76121Cai, W.-H.; Li, F.-C.; Zhang, H.-N.; Li, X.-B.; Yu, B.; Wei, J.-J.; Kawaguchi, Y.; Hishida, K. 2 2009 Wave-turbulence interaction of a low-speed plane liquid wall-jet investigated by particle image velocimetry. Zbl 1187.76307Li, F.-C.; Kawaguchi, Y.; Segawa, T.; Suga, K. 2 2005 Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations. Zbl 1124.35064Hsiao, Ling; Li, Fu Cai; Wang, Shu 2 2007 Low Mach number limit of a compressible non-isothermal nematic liquid crystals model. Zbl 1499.76087Fan, Jishan; Li, Fucai 2 2019 Asymptotic limit of the Gross-Pitaevskii equation with general initial data. Zbl 1342.35289Li, FuCai; Lin, Chi-Kun; Wu, Kung-Chien 2 2016 Low Mach number limit of the non-isentropic ideal magnetohydrodynamic equations. Zbl 1480.76157Li, Fucai; Zhang, Shuxing 2 2021 Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. II: Global existence case. Zbl 1444.76132Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2018 Uniform local well-posedness and regularity criterion for the density-dependent incompressible flow of liquid crystals. Zbl 1304.35482Fan, Jishan; Li, Fucai 1 2014 Convergence of the two-fluid compressible Navier-Stokes-Poisson system to the incompressible Euler equations. Zbl 1451.76105Kwon, Young-Sam; Li, Fucai 1 2020 A regularity criterion for the \(3D\) full compressible Navier-Stokes-Maxwell system in a bounded domain. Zbl 1373.76341Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2017 Stability properties of a class of sampled regulators with sector bounded nonlinear systems. Zbl 0584.93050Cameron, R. G.; Li, F. 1 1985 Global solutions to the Navier-Stokes-\({\bar \omega}\) and related models with rough initial data. Zbl 1293.35203Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2014 Global weak solutions for a kinetic-fluid model with local alignment force in a bounded domain. Zbl 1479.35678Li, Fucai; Li, Yue 1 2021 The local well-posedness of a chemotaxis-shallow water system with vacuum. Zbl 07556690Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2021 Low Mach number limit of the non-isentropic ideal magnetohydrodynamic equations. Zbl 1480.76157Li, Fucai; Zhang, Shuxing 2 2021 Global weak solutions for a kinetic-fluid model with local alignment force in a bounded domain. Zbl 1479.35678Li, Fucai; Li, Yue 1 2021 The local well-posedness of a chemotaxis-shallow water system with vacuum. Zbl 07556690Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2021 Optimal exponential decay for the linearized ellipsoidal BGK model in weighted Sobolev spaces. Zbl 1453.82072Li, Fucai; Sun, Baoyan 3 2020 Global strong solutions to a coupled chemotaxis-fluid model with subcritical sensitivity. Zbl 1459.35361Fan, Jishan; Li, Fucai 3 2020 Global strong solutions to the 3D compressible non-isentropic MHD equations with zero resistivity. Zbl 1434.76146Fan, Jishan; Li, Fucai 3 2020 Convergence of the two-fluid compressible Navier-Stokes-Poisson system to the incompressible Euler equations. Zbl 1451.76105Kwon, Young-Sam; Li, Fucai 1 2020 Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions. Zbl 1421.76268Guo, Liang; Li, Fucai; Xie, Feng 6 2019 Incompressible inviscid limit of the viscous two-fluid model with general initial data. Zbl 1415.76645Kwon, Young-Sam; Li, Fucai 4 2019 Regularity criteria for Navier-Stokes-Allen-Cahn and related systems. Zbl 1458.76116Fan, Jishan; Li, Fucai 4 2019 Global strong solutions to the nonhomogeneous incompressible MHD equations in a bounded domain. Zbl 1412.35251Fan, Jishan; Li, Fucai 3 2019 Quasi-neutral limit of the Navier-Stokes-Fourier-Poisson system for ionic dynamics. Zbl 1410.35128Kwon, Young-Sam; Li, Fucai 2 2019 Low Mach number limit of a compressible non-isothermal nematic liquid crystals model. Zbl 1499.76087Fan, Jishan; Li, Fucai 2 2019 Local well-posedness for a compressible non-isothermal model for nematic liquid crystals. Zbl 1391.76043Fan, Jishan; Li, Fucai; Nakamura, Gen 12 2018 Global strong solutions to the 3D full compressible Navier-Stokes system with vacuum in a bounded domain. Zbl 1384.35060Fan, Jishan; Li, Fucai 5 2018 Incompressible limit of the degenerate quantum compressible Navier-Stokes equations with general initial data. Zbl 1378.76148Kwon, Young-Sam; Li, Fucai 5 2018 A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity. Zbl 1395.76104Fan, Jishan; Li, Fucai; Nakamura, Gen 4 2018 Low Mach number limit for the compressible magnetohydrodynamic equations in a periodic domain. Zbl 1393.76138Li, Fucai; Mu, Yanmin 3 2018 Zero viscosity-resistivity limit for the 3D incompressible magnetohydrodynamic equations in Gevrey class. Zbl 1397.35172Li, Fucai; Zhang, Zhipeng 2 2018 Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. II: Global existence case. Zbl 1444.76132Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2018 Strong solutions to the compressible Navier-Stokes-Vlasov-Fokker-Planck equations: global existence near the equilibrium and large time behavior. Zbl 1367.35110Li, Fucai; Mu, Yanmin; Wang, Dehua 26 2017 Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum. Zbl 1357.35244Fan, Jishan; Huang, Shuxiang; Li, Fucai 23 2017 Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces. Zbl 1353.76094Li, Fucai; Mu, Yanmin; Wang, Dehua 9 2017 Non-local effects in an integro-PDE model from population genetics. Zbl 1390.92090Li, F.; Nakashima, K.; Ni, W.-M. 4 2017 Local well-posedness and blow-up criterion for a compressible Navier-Stokes-Fourier-\(P1\) approximate model arising in radiation hydrodynamics. Zbl 1387.35451Fan, Jishan; Li, Fucai; Nakamura, Gen 3 2017 Low Mach number limit of the full compressible Hall-MHD system. Zbl 1364.76237Fan, Jishan; Li, Fucai; Nakamura, Gen 3 2017 A regularity criterion for the \(3D\) full compressible Navier-Stokes-Maxwell system in a bounded domain. Zbl 1373.76341Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2017 Incompressible limit of the nonisentropic ideal magnetohydrodynamic equations. Zbl 1338.35367Jiang, Song; Ju, Qiangchang; Li, Fucai 14 2016 Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. Zbl 1356.76428Fan, Jishan; Li, Fucai; Nakamura, Gen 7 2016 Non-relativistic and low Mach number limits of two \(P1\) approximation model arising in radiation hydrodynamics. Zbl 1353.35031Fan, Jishan; Li, Fucai; Nakamura, Gen 7 2016 Regularity criteria for the incompressible magnetohydrodynamic equations with partial viscosity. Zbl 1381.35137Fan, Jishan; Li, Fucai; Nakamura, Gen 6 2016 Semigroup decay of the linearized Boltzmann equation in a torus. Zbl 1330.35284Li, Fucai; Wu, Kung-Chien 4 2016 Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain. Zbl 1353.35224Fan, Jishan; Li, Fucai; Nakamura, Gen 4 2016 Large time behavior of the isentropic compressible Navier-Stokes-Maxwell system. Zbl 1359.76332Chen, Yan; Li, Fucai; Zhang, Zhipeng 2 2016 Asymptotic limit of the Gross-Pitaevskii equation with general initial data. Zbl 1342.35289Li, FuCai; Lin, Chi-Kun; Wu, Kung-Chien 2 2016 Nonrelativistic limit of the compressible Navier-Stokes-Fourier-P1 approximation model arising in radiation hydrodynamics. Zbl 1331.35262Jiang, Song; Li, Fucai; Xie, Feng 19 2015 Convergence of the complete electromagnetic fluid system to the full compressible magnetohydrodynamic equations. Zbl 1333.35199Jiang, Song; Li, Fucai 18 2015 Zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system. Zbl 1308.76325Jiang, Song; Li, Fucai 12 2015 A blow-up criterion to the 2D full compressible magnetohydrodynamic equations. Zbl 1317.35009Fan, Jishan; Li, Fucai; Nakamura, Gen 10 2015 Uniform well-posedness and singular limits of the isentropic Navier-Stokes-Maxwell system in a bounded domain. Zbl 1327.76167Fan, Jishan; Li, Fucai; Nakamura, Gen 9 2015 Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain. Zbl 1333.76091Nakamura, Gen; Li, Fucai; Fan, Jishan 4 2015 Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data. Zbl 1334.35216Jiang, Song; Ju, Qiangchang; Li, Fucai; Xin, Zhouping 61 2014 Regularity criteria for the incompressible Hall-magnetohydrodynamic equations. Zbl 1297.35067Fan, Jishan; Li, Fucai; Nakamura, Gen 40 2014 Regularity criteria for the three-dimensional magnetohydrodynamic equations. Zbl 1291.35175Fan, Jishan; Li, Fucai; Nakamura, Gen; Tan, Zhong 21 2014 Low Mach number limit of the full compressible Navier-Stokes-Maxwell system. Zbl 1308.35221Li, Fucai; Mu, Yanmin 16 2014 Global strong solution to the 2D density-dependent liquid crystal flows with vacuum. Zbl 1292.35201Fan, Jishan; Li, Fucai; Nakamura, Gen 10 2014 Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity. Zbl 1338.35358Fan, Jishan; Li, Fucai; Nakamura, Gen 5 2014 Uniform local well-posedness to the density-dependent Navier-Stokes-Maxwell system. Zbl 1306.35094Fan, Jishan; Li, Fucai 4 2014 Global strong solution to the two-dimensional density-dependent magnetohydrodynamic equations with vaccum. Zbl 1292.76075Fan, Jishan; Li, Fucai; Nakamura, Gen 4 2014 Uniform local well-posedness and regularity criterion for the density-dependent incompressible flow of liquid crystals. Zbl 1304.35482Fan, Jishan; Li, Fucai 1 2014 Global solutions to the Navier-Stokes-\({\bar \omega}\) and related models with rough initial data. Zbl 1293.35203Fan, Jishan; Li, Fucai; Nakamura, Gen 1 2014 Asymptotic limits of the full compressible magnetohydrodynamic equations. Zbl 1282.76198Ju, Qiangchang; Li, Fucai; Li, Yong 16 2013 Regularity criteria for a mathematical model for the deformation of electrolyte droplets. Zbl 1426.76701Fan, Jishan; Li, Fucai; Nakamura, Gen 4 2013 Low Mach number limit for the multi-dimensional full magnetohydrodynamic equations. Zbl 1376.76077Jiang, Song; Ju, Qiangchang; Li, Fucai 45 2012 Rigorous derivation of the compressible magnetohydrodynamic equations from the electromagnetic fluid system. Zbl 1366.76095Jiang, Song; Li, Fucai 21 2012 Wave propagation analysis in composite laminates containing a delamination using a three-dimensional spectral element method. Zbl 1264.74279Li, Fucai; Peng, Haikuo; Sun, Xuewei; Wang, Jinfu; Meng, Guang 5 2012 Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations. Zbl 1218.35038Li, Fucai; Yu, Hongjun 62 2011 A theoretical model to predict plume rise in shaft generated by growing compartment fire. Zbl 1209.80025Sun, X. Q.; Hu, L. H.; Chow, W. K.; Xu, Y.; Li, F. 2 2011 Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions. Zbl 1195.35253Jiang, Song; Ju, Qiangchang; Li, Fucai 85 2010 Incompressible limit of the compressible magnetohydrodynamic equations with vanishing viscosity coefficients. Zbl 1257.76164Jiang, Song; Ju, Qiangchang; Li, Fucai 46 2010 DNS study of decaying homogeneous isotropic turbulence with polymer additives. Zbl 1225.76171Cai, W.-H.; Li, F.-C.; Zhang, H.-N. 5 2010 The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data. Zbl 1170.35075Ju, Qiangchang; Li, Fucai; Li, Hailiang 31 2009 Quasineutral limit of the electro-diffusion model arising in electrohydrodynamics. Zbl 1239.35013Li, Fucai 17 2009 Quasineutral limit of the viscous quantum hydrodynamic model for semiconductors. Zbl 1160.82359Li, Fucai 11 2009 The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data. Zbl 1181.35171Hsiao, Ling; Ju, Qiangchang; Li, Fucai 5 2009 Study on the characteristics of turbulent drag-reducing channel flow by particle image velocimetry combining with proper orthogonal decomposition analysis. Zbl 1183.76121Cai, W.-H.; Li, F.-C.; Zhang, H.-N.; Li, X.-B.; Yu, B.; Wei, J.-J.; Kawaguchi, Y.; Hishida, K. 2 2009 Convergence of the Navier-Stokes-Poisson system to the incompressible Navier-Stokes equations. Zbl 1152.76356Ju, Qiangchang; Li, Fucai; Wang, Shu 25 2008 Combined quasineutral and inviscid limit of the Vlasov-Poisson-Fokker-Planck system. Zbl 1144.35366Hsiao, Ling; Li, Fucai; Wang, Shu 9 2008 Decay rate of global classical solutions to the Landau equation with external force. Zbl 1148.82027Li, Fucai; Yu, Hongjun 2 2008 Global existence of classical solutions to the Boltzmann equation with external force for hard potentials. Zbl 1161.76052Li, Fucai; Yu, Hongjun 2 2008 Global existence and blow-up of solutions to a nonlocal quasilinear degenerate parabolic system. Zbl 1124.35032Li, Fucai 13 2007 Convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations. Zbl 1124.35064Hsiao, Ling; Li, Fu Cai; Wang, Shu 2 2007 Convergence of the Vlasov-Poisson-Fokker-Planck system to the incompressible Euler equations. Zbl 1110.35072Xiao, Ling; Li, Fucai; Wang, Shu 8 2006 Reynolds-number dependence of turbulence structures in a drag-reducing surfactant solution channel flow investigated by particle image velocimetry. Zbl 1187.76306Li, F.-C.; Kawaguchi, Y.; Segawa, T.; Hishida, K. 5 2005 Asymptotic behavior of the solution for a diffusive system coupled with localized sources. Zbl 1093.35032Li, Fucai; Xue, Guohe 3 2005 Global existence and blow-up of solutions for parabolic systems involving cross-diffusion and nonlinear boundary conditions. Zbl 1112.35092Yang, Xiuhui; Li, Fucai; Xie, Chunhong 3 2005 Wave-turbulence interaction of a low-speed plane liquid wall-jet investigated by particle image velocimetry. Zbl 1187.76307Li, F.-C.; Kawaguchi, Y.; Segawa, T.; Suga, K. 2 2005 Global existence and blowup of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation. Zbl 1066.35062Li, Fucai 14 2004 Investigation on the characteristics of turbulence transport for momentum and heat in a drag-reducing surfactant solution flow. Zbl 1187.76305Li, F.-C.; Kawaguchi, Y.; Hishida, K. 7 2004 Global existence and blow-up for a nonlinear porous medium equation. Zbl 1059.35067Li, Fucai; Xie, Chunhong 37 2003 Global existence and blow-up of solutions to a nonlocal reaction-diffusion system. Zbl 1043.35069Li, Fu-Cai; Huang, Shu-Xiang; Xie, Chun-Hong 34 2003 Global and blow-up solutions to a \(p\)-Laplacian equation with nonlocal source. Zbl 1060.35055Li, Fu-Cai; Xie, Chun-Hong 26 2003 Existence and blow-up for a degenerate parabolic equation with nonlocal source. Zbl 1015.35050Li, Fucai; Xie, Chunhong 12 2003 Asymptotic behavior of solution for nonlocal reaction-diffusion system. Zbl 1029.35119Li, Fucai; Chen, Youpeng; Xie, Chunhong 5 2003 The union of resolvable spaces is resolvable. Zbl 0769.54002Comfort, W. W.; Feng, Li 11 1993 Passivity and the design of sampled regulators for uncertain systems. Zbl 0623.93046Mossaheb, S.; Cameron, R. G.; Li, F. 3 1987 Stability properties of a class of sampled regulators with sector bounded nonlinear systems. Zbl 0584.93050Cameron, R. G.; Li, F. 1 1985 all cited Publications top 5 cited Publications all top 5 Cited by 597 Authors 45 Li, Fucai 40 Fan, Jishan 17 Nakamura, Gen 17 Zhou, Yong 16 Ju, Qiangchang 16 Yang, Jianwei 15 Wang, Shu 13 Mu, Chunlai 13 Ou, Yaobin 13 Zhong, Xin 12 Tan, Zhong 10 Kwon, Young-Sam 10 Li, Yeping 10 Zhou, Jun 9 Jiang, Song 8 Liu, Bingchen 8 Tong, Leilei 8 Yao, Zhengan 7 Donatelli, Donatella 7 Dou, Changsheng 7 Fang, Zhongbo 7 Li, Hailiang 7 Mu, Yanmin 7 Ruan, Lizhi 7 Shang, Zhaoyang 6 Guo, Boling 6 Liu, Yang 6 Pu, Xueke 6 Tang, Tong 6 Tao, Qiang 6 Zhu, Changjiang 5 Feng, Yuehong 5 Gao, Jincheng 5 Huang, Bin 5 Jiang, Peng 5 Li, Xin 5 Marcati, Pierangelo 5 Sun, Baoyan 5 Sun, Jianzhu 5 Wang, Yong 5 Xiang, Wei 5 Xiang, Zhaoyin 5 Xu, Xin 5 Yang, Xiongfeng 5 Yang, Xiuhui 5 Yao, Lei 5 Zhang, Shuxing 5 Zhu, Mingxuan 4 Du, Lili 4 Fan, Lili 4 Gao, Wenjie 4 Hayat, Tasawar 4 Hu, Yuxi 4 Kim, Jaemyoung 4 Li, Fengjie 4 Li, Yong 4 Li, Zilai 4 Ling, Zhengqiu 4 Liu, Qilin 4 Ma, Caochuan 4 Song, Xianfa 4 Wang, Dehua 4 Wang, Weiwei 4 Wang, Wenjun 4 Wang, Yinxia 4 Wang, Zejia 4 Xi, Xiaoyu 4 Xie, Feng 4 Yan, Weiping 4 Yang, Li 4 Yang, Ying 4 Yang, Zuodong 4 Ye, Yulin 4 Yin, Haiyan 4 Yuan, Baoquan 4 Zhai, Xiaoping 4 Zhang, Jianyun 4 Zhang, Zujin 4 Zhao, Jihong 4 Zheng, Sining 3 Chen, Miaochao 3 Choi, Young-Pil 3 Cui, Zhoujin 3 Gala, Sadek 3 Gao, Hongjun 3 Hao, Chengchun 3 Hou, Xiaofeng 3 Jiang, Limin 3 Li, Shan 3 Li, Yachun 3 Li, Yin 3 Liao, Jie 3 Liu, Qiao 3 Liu, Shengquan 3 Lu, Shengqi 3 Pan, Xinghong 3 Ragusa, Maria Alessandra 3 Ren, Dandan 3 Shi, Xiaoding 3 Su, Jingrui ...and 497 more Authors all top 5 Cited in 104 Serials 49 Journal of Mathematical Analysis and Applications 47 ZAMP. Zeitschrift für angewandte Mathematik und Physik 39 Journal of Differential Equations 34 Nonlinear Analysis. Real World Applications 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Journal of Mathematical Physics 20 Applicable Analysis 18 Discrete and Continuous Dynamical Systems 18 Boundary Value Problems 17 SIAM Journal on Mathematical Analysis 15 Computers & Mathematics with Applications 14 Applied Mathematics Letters 13 Acta Applicandae Mathematicae 13 Journal of Mathematical Fluid Mechanics 10 Acta Mathematica Scientia. Series B. (English Edition) 10 Kinetic and Related Models 9 Mathematical Methods in the Applied Sciences 9 Applied Mathematics and Computation 7 Journal of Inequalities and Applications 7 Discrete and Continuous Dynamical Systems. Series B 7 Communications on Pure and Applied Analysis 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Science China. Mathematics 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Archive for Rational Mechanics and Analysis 4 Journal of Statistical Physics 4 Bulletin of the Korean Mathematical Society 4 Journal of Nonlinear Science 4 Advances in Mathematical Physics 4 Journal of Function Spaces 3 Acta Mechanica 3 Zeitschrift für Analysis und ihre Anwendungen 3 Chinese Annals of Mathematics. Series B 3 Calculus of Variations and Partial Differential Equations 3 Abstract and Applied Analysis 3 Acta Mathematica Sinica. English Series 3 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinearity 2 Advances in Mathematics 2 Czechoslovak Mathematical Journal 2 Indiana University Mathematics Journal 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applications of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Dynamics and Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Taiwanese Journal of Mathematics 2 Discrete Dynamics in Nature and Society 2 The ANZIAM Journal 2 Mathematical Modelling and Analysis 2 Journal of Evolution Equations 2 Journal of Applied Mathematics and Computing 2 Central European Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Journal of Hyperbolic Differential Equations 2 Advances in Difference Equations 2 Advances in Nonlinear Analysis 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Kyungpook Mathematical Journal 1 Monatshefte für Mathematik 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Optimization 1 Algorithmica 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Journal of Integral Equations and Applications 1 International Journal of Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Mathematical Problems in Engineering 1 Mathematical Physics, Analysis and Geometry 1 Journal of Dynamical and Control Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Frontiers of Mathematics in China 1 Acta Mathematica Sinica. Chinese Series 1 Networks and Heterogeneous Media 1 Journal of Nonlinear Science and Applications 1 ISRN Mathematical Analysis 1 ISRN Applied Mathematics 1 Journal of Mahani Mathematical Research Center 1 Journal of Applied Analysis and Computation 1 Evolution Equations and Control Theory 1 Journal of Applied Nonlinear Dynamics 1 Bulletin of Computational Applied Mathematics ...and 4 more Serials all top 5 Cited in 29 Fields 535 Partial differential equations (35-XX) 407 Fluid mechanics (76-XX) 42 Statistical mechanics, structure of matter (82-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Optics, electromagnetic theory (78-XX) 12 Integral equations (45-XX) 9 Mechanics of deformable solids (74-XX) 8 Astronomy and astrophysics (85-XX) 7 Biology and other natural sciences (92-XX) 6 Quantum theory (81-XX) 5 Operator theory (47-XX) 5 Numerical analysis (65-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 1 Number theory (11-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year