Edit Profile Liu, Chun Compute Distance To: Compute Author ID: liu.chun Published as: Liu, C.; Liu, Chun Documents Indexed: 158 Publications since 1987, including 2 Books all top 5 Co-Authors 1 single-authored 14 Shen, Jie 12 Du, Qiang 9 Calderer, Maria-Carme T. 9 Hyon, Yunkyong 8 Feng, James J. 8 Lin, Fang Hua 7 Wang, Xiaoqiang 7 Yue, Xingye 6 Ryham, Rolf J. 6 Xu, Shixin 6 Yue, Pengtao 5 Lin, Taichia 5 Yang, Xiaofeng 4 Walkington, Noel J. 4 Wu, Hao 3 Chen, Minxin 3 Duan, Chenghua 3 Eisenberg, Bob 3 Giga, Yoshikazu 3 Jiang, Bin 3 Lai, Mingjun 3 Lee, Hijin 3 Lin, Ping 3 Liu, Lishan 3 Liu, Pei 3 Sheng, Ping 3 Tan, Zhong 3 Wang, Cheng 3 Wenston, Paul R. 3 Xu, Jinchao 3 Xu, Xiang 3 Zhang, Ke 2 Brannick, James J. 2 Forest, M. Gregory 2 Hsieh, Chia-Yu 2 Huang, Tao 2 Koba, Hajime 2 Lee, Chiun-Chang 2 Lei, Zhen 2 Li, Shuwang 2 Li, Xiantao 2 Lu, Min-Jhe 2 Ma, Lina 2 Ma, Tianbao 2 Majd, Sheereen 2 Ning, Jianguo 2 Qian, Tiezheng 2 Sato, Norifumi 2 Schlömerkemper, Anja 2 Sun, Huan 2 Sun, Pengtao 2 Tonegawa, Yoshihiro 2 Voss, Karl 2 Wang, Qi 2 Wang, Yong 2 Wu, Yonghong 2 Yu, Peng 2 Zhang, Ping 2 Zhou, Yi 2 Zikatanov, Ludmil T. 1 Adler, James H. 1 Alvarez, Sergio A. 1 Ambrosi, Davide 1 Baek, Seungik 1 Bauman, Patricia E. 1 Belmonte, Andrew 1 Benešová, Barbora 1 Carrillo de la Plata, José Antonio 1 Chan, Christina K. 1 Chen, Falai 1 Chen, Geng 1 Chen, Gui-Qiang G. 1 Chen, Xinfu 1 Cheng, Qing 1 De Anna, Francesco 1 deForest, Russ 1 Deng, Chao 1 Ding, Xiao-yu 1 Du, Yi 1 Eisenberg, Robert S. 1 Endo, Masakazu 1 Fang, Daoyuan 1 Feng, Xiaobing 1 Fonseca, James E. 1 Forster, Johannes 1 García-Cervera, Carlos J. 1 Gharahi, Hamidreza 1 Golovaty, Dmitry 1 Götz, Dario 1 Gou, Kun 1 Guo, Limin 1 Hao, Wenrui 1 He, Yinnian 1 Hou, Thomas Yizhao 1 Hua, Jinsong 1 Jiang, Feng 1 Jiang, Jie 1 Jifara, Worku 1 Kim, Jungsil 1 Kinderlehrer, David ...and 57 more Co-Authors all top 5 Serials 13 Journal of Computational Physics 10 Communications in Mathematical Sciences 9 Archive for Rational Mechanics and Analysis 6 Discrete and Continuous Dynamical Systems 5 SIAM Journal on Mathematical Analysis 5 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Differential Equations 4 Physica D 3 Communications on Pure and Applied Mathematics 3 SIAM Journal on Numerical Analysis 3 SIAM Journal on Applied Mathematics 3 Multiscale Modeling & Simulation 3 Communications in Computational Physics 2 Applicable Analysis 2 International Journal of Engineering Science 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Quarterly of Applied Mathematics 2 Journal of Non-Newtonian Fluid Mechanics 2 Physics of Fluids 2 Interfaces and Free Boundaries 2 Oberwolfach Reports 2 Series in Contemporary Applied Mathematics CAM 2 Numerical Mathematics: Theory, Methods and Applications 2 Journal of Nonlinear Science and Applications 2 Computational and Mathematical Biophysics 1 Modern Physics Letters A 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 BIT 1 Journal of Functional Analysis 1 Acta Scientiarum Naturalium Universitatis Sunyatseni 1 Circuits, Systems, and Signal Processing 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Economics Letters 1 Differential and Integral Equations 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 1 Journal of Partial Differential Equations 1 Continuum Mechanics and Thermodynamics 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Fluid Mechanics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of High Energy Physics 1 JP Journal of Algebra, Number Theory and Applications 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 Transactions of Beijing Institute of Technology 1 Chinese Journal of Computational Mechanics 1 Journal of Hefei University of Technology. Natural Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Progress of Theoretical Physics. Supplement 1 Acta Mathematica Sinica. Chinese Series 1 Kinetic and Related Models 1 Journal of Computer Applications 1 Communications in Theoretical Physics 1 Molecular Based Mathematical Biology 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Annals of Mathematical Sciences and Applications 1 IEEE Transactions on Control of Network Systems all top 5 Fields 90 Fluid mechanics (76-XX) 62 Partial differential equations (35-XX) 32 Numerical analysis (65-XX) 27 Statistical mechanics, structure of matter (82-XX) 19 Mechanics of deformable solids (74-XX) 18 Biology and other natural sciences (92-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 5 General and overarching topics; collections (00-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Operator theory (47-XX) 4 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Ordinary differential equations (34-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 114 Publications have been cited 2,675 times in 1,321 Documents Cited by ▼ Year ▼ Nonparabolic dissipative systems modeling the flow of liquid crystals. Zbl 0842.35084Lin, Fang-Hua; Liu, Chun 264 1995 A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method. Zbl 1092.76069Liu, Chun; Shen, Jie 169 2003 A diffuse-interface method for simulating two-phase flows of complex fluids. Zbl 1130.76437Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 162 2004 On hydrodynamics of viscoelastic fluids. Zbl 1076.76006Lin, Fang-Hua; Liu, Chun; Zhang, Ping 133 2005 Existence of solutions for the Ericksen-Leslie system. Zbl 0963.35158Lin, Fang-Hua; Liu, Chun 118 2000 A phase field approach in the numerical study of the elastic bending energy for vesicle membranes. Zbl 1116.74384Du, Qiang; Liu, Chun; Wang, Xiaoqiang 108 2004 Global solutions for incompressible viscoelastic fluids. Zbl 1138.76017Lei, Zhen; Liu, Chun; Zhou, Yi 106 2008 Preconditioned multigrid methods for unsteady incompressible flows. Zbl 0908.76064Liu, C.; Zheng, X.; Sung, C. H. 106 1998 Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method. Zbl 1158.76319Yang, Xiaofeng; Feng, James J.; Liu, Chun; Shen, Jie 83 2006 An Eulerian description of fluids containing viscoelastic particles. Zbl 1009.76093Liu, Chun; Walkington, Noel J. 77 2001 Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. Zbl 1086.74024Du, Qiang; Liu, Chun; Wang, Xiaoqiang 70 2006 Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098Lin, Fang-Hua; Liu, Chun 65 1996 On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007Sun, Huan; Liu, Chun 47 2009 Static and dynamic theories of liquid crystals. Zbl 1433.82014Lin, Fanghua; Liu, Chun 46 2001 A phase field formulation of the Willmore problem. Zbl 1125.35366Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 45 2005 Approximation of liquid crystal flows. Zbl 1040.76036Liu, Chun; Walkington, Noel J. 44 2000 Analysis of a phase field Navier-Stokes vesicle-fluid interaction model. Zbl 1172.74016Du, Qiang; Li, Manlin; Liu, Chun 38 2007 Global existence for a 2D incompressible viscoelastic model with small strain. Zbl 1132.76008Lei, Zhen; Liu, Chun; Zhou, Yi 37 2007 On the general Ericksen-Leslie system: Parodi’s relation, well-posedness and stability. Zbl 1320.76010Wu, Hao; Xu, Xiang; Liu, Chun 36 2013 Analysis of finite element approximations of a phase field model for two-phase fluids. Zbl 1111.76028Feng, Xiaobing; He, Yinnian; Liu, Chun 35 2007 A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun 32 2011 Energetic variational approaches in modeling vesicle and fluid interactions. Zbl 1183.74056Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 31 2009 Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids. Zbl 1195.76120Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 31 2005 An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics. Zbl 1133.65077Lin, Ping; Liu, Chun; Zhang, Hui 29 2007 On a micro-macro model for polymeric fluids near equilibrium. Zbl 1113.76017Lin, Fang-Hua; Liu, Chun; Zhang, Ping 28 2007 Energetic variational approach in complex fluids: maximum dissipation principle. Zbl 1423.76380Hyon, Yunkyong; Kwak, Do Young; Liu, Chun 27 2010 Viscoelastic effects on drop deformation in steady shear. Zbl 1082.76007Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 25 2005 An energetic variational formulation with phase field methods for interfacial dynamics of complex fluids: advantages and challenges. Zbl 1181.76019Feng, James J.; Liu, Chun; Shen, Jie; Yue, Pengtao 23 2005 Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density. Zbl 1326.76064Liu, Chun; Shen, Jie; Yang, Xiaofeng 22 2015 Simulations of singularity dynamics in liquid crystal flows: a \(C^0\) finite element approach. Zbl 1101.82039Lin, Ping; Liu, Chun 22 2006 FENE dumbbell model and its several linear and nonlinear closure approximations. Zbl 1108.76006Du, Qiang; Liu, Chun; Yu, Peng 22 2005 Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation. Zbl 1078.92004Du, Q.; Liu, C.; Ryham, R.; Wang, X. 20 2005 Evolution of grain boundaries. Zbl 1036.74041Kinderlehrer, David; Liu, Chun 20 2001 New Poisson-Boltzmann type equations: one-dimensional solutions. Zbl 1214.78012Lee, Chiun-Chang; Lee, Hijin; Hyon, Yunkyong; Lin, Tai-Chia; Liu, Chun 19 2011 Mixed methods for the approximation of liquid crystal flows. Zbl 1032.76035Liu, Chun; Walkington, Noel J. 19 2002 Finite time singularity of the nematic liquid crystal flow in dimension three. Zbl 1344.35104Huang, Tao; Lin, Fanghua; Liu, Chun; Wang, Changyou 18 2016 Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. Zbl 1286.65112Yang, Xiaofeng; Forest, M. Gregory; Li, Huiyuan; Liu, Chun; Shen, Jie; Wang, Qi; Chen, Falai 18 2013 Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations. Zbl 1408.76550Hua, Jinsong; Lin, Ping; Liu, Chun; Wang, Qi 18 2011 Retrieving topological information for phase field models. Zbl 1114.74044Du, Qiang; Liu, Chun; Wang, Xiaoqiang 18 2005 Mathematical models for the deformation of electrolyte droplets. Zbl 1147.35343Ryham, Rolf; Liu, Chun; Zikatanov, Ludmil 17 2007 Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions. Zbl 1412.34099Liu, Lishan; Li, Hongdan; Liu, Chun; Wu, Yonghong 16 2017 Convergence of numerical approximations of the incompressible Navier-Stokes equations with variable density and viscosity. Zbl 1138.76048Liu, Chun; Walkington, Noel J. 16 2007 The phase transition between chiral nematic and smectic \(A^*\) liquid crystals. Zbl 1032.76007Bauman, Patricia; Calderer, M. Carme; Liu, Chun; Phillips, Daniel 16 2002 On liquid crystal flows with free-slip boundary conditions. Zbl 1014.76005Liu, Chun; Shen, Jie 16 2001 An energetic variational approach for ion transport. Zbl 1319.35199Xu, Shixin; Sheng, Ping; Liu, Chun 15 2014 Axisymmetric solutions to coupled Navier-Stokes/Allen-Cahn equations. Zbl 1203.35191Xu, Xiang; Zhao, Liyun; Liu, Chun 15 2010 Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081Koba, Hajime; Liu, Chun; Giga, Yoshikazu 14 2017 Asymptotic behavior for a nematic liquid crystal model with different kinematic transport properties. Zbl 1259.35040Wu, Hao; Xu, Xiang; Liu, Chun 14 2012 Shear cell rupture of nematic liquid crystal droplets in viscous fluids. Zbl 1282.76061Yang, Xiaofeng; Forest, M. Gregory; Liu, Chun; Shen, Jie 14 2011 Phase field model of thermo-induced Marangoni effects in the mixtures and its numerical simulations with mixed finite element method. Zbl 1364.76097Sun, Pengtao; Liu, Chun; Xu, Jinchao 14 2009 Energy variational approach to study charge inversion (layering) near charged walls. Zbl 1257.82100Hyon, Yunkyong; Fonseca, James E.; Eisenberg, Bob; Liu, Chun 13 2012 Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422Liu, Chun; Shen, Jie; Yang, Xiaofeng 13 2007 On electro-kinetic fluids: one-dimensional configurations. Zbl 1184.35262Ryham, Rolf; Liu, Chun; Wang, Zhi-Qiang 12 2006 Dynamic theory for incompressible smectic-A liquid crystals: existence and regularity. Zbl 1021.35083Liu, Chun 12 2000 Transient drop deformation upon startup of shear in viscoelastic fluids. Zbl 1188.76180Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 10 2005 From micro to macro dynamics via a new closure approximation to the FENE model of polymeric fluids. Zbl 1108.76007Yu, Peng; Du, Qiang; Liu, Chun 10 2005 An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis. Zbl 1416.35209Liu, Chun; Wu, Hao 9 2019 Diffusion limit of kinetic equations for multiple species charged particles. Zbl 1308.35311Wu, Hao; Lin, Tai-Chia; Liu, Chun 9 2015 A model of electrodiffusion and osmotic water flow and its energetic structure. Zbl 1227.92007Mori, Yoichiro; Liu, Chun; Eisenberg, Robert S. 9 2011 Time evolution of nematic liquid crystals with variable degree of orientation. Zbl 1003.35108Calderer, M. C.; Golovaty, D.; Lin, F.-H.; Liu, C. 9 2002 Energetically stable discretizations for charge transport and electrokinetic models. Zbl 1351.78040Metti, Maximilian S.; Xu, Jinchao; Liu, Chun 8 2016 Transport of charged particles: entropy production and maximum dissipation principle. Zbl 1345.76123Hsieh, Chia-Yu; Hyon, YunKyong; Lee, Hijin; Lin, Tai-Chia; Liu, Chun 8 2015 Existence and stability for mathematical models of sedimentation-consolidation processes in several space dimensions. Zbl 0995.35050Bürger, R.; Liu, C.; Wendland, W. L. 8 2001 High order finite difference and multigrid methods for spatially evolving instability in a planar channel. Zbl 0769.76038Liu, C.; Liu, Z. 8 1993 Modeling and simulating asymmetrical conductance changes in gramicidin pores. Zbl 1323.92090Xu, Shixin; Chen, Minxin; Majd, Sheereen; Yue, Xingye; Liu, Chun 7 2014 Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency. Zbl 1429.76032De Anna, Francesco; Liu, Chun 6 2019 Boundary layer solutions of charge conserving Poisson-Boltzmann equations: one-dimensional case. Zbl 1344.76077Lee, Chiun-Chang; Lee, Hijin; Hyon, Yunkyong; Lin, Tai-Chia; Liu, Chun 6 2016 Two-phase flow problem coupled with mean curvature flow. Zbl 1246.35212Liu, Chun; Sato, Norifumi; Tonegawa, Yoshihiro 6 2012 Liquid crystal flow: Dynamic and static configurations. Zbl 0956.35104Calderer, M. Carme; Liu, Chun 6 2000 Radial configurations of smectic A materials and focal conics. Zbl 0954.76004Calderer, M. Carme; Liu, Chun; Voss, Karl 6 1998 Numerical simulations of hydrodynamics of nematic liquid crystals: effects of kinematic transports. Zbl 1364.76018Zhang, Shupeng; Liu, Chun; Zhang, Hui 5 2011 On the existence of mean curvature flow with transport term. Zbl 1201.53076Liu, Chun; Sato, Norifumi; Tonegawa, Yoshihiro 5 2010 Boundary conditions for the microscopic FENE models. Zbl 1147.76003Liu, Chun; Liu, Hailiang 5 2008 A generalized Poisson-Nernst-Planck-Navier-Stokes model on the fluid with the crowded charged particles: derivation and its well-posedness. Zbl 1416.35220Wang, Yong; Liu, Chun; Tan, Zhong 4 2016 Finite time singularities for hyperbolic systems. Zbl 1316.35005Chen, Geng; Huang, Tao; Liu, Chun 4 2015 An enhanced macroscopic closure approximation to the micro-macro FENE model for polymeric materials. Zbl 1173.76001Hyon, Yunkyong; Du, Qiang; Liu, Chun 4 2008 Diffuse interface energies capturing the Euler number: relaxation and renomalization. Zbl 1136.74007Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 4 2007 Smectic A liquid crystal configurations with interface defects. Zbl 0988.76008Calderer, M. Carme; Liu, Chun; Voss, Karl 4 2001 Numerical complete solution for random genetic drift by energetic variational approach. Zbl 1418.65150Duan, Chenghua; Liu, Chun; Wang, Cheng; Yue, Xingye 3 2019 Non-isothermal electrokinetics: energetic variational approach. Zbl 1406.35290Liu, Pei; Wu, Simo; Liu, Chun 3 2018 Inventory competition in a dual-channel supply chain with delivery lead time consideration. Zbl 1443.90081Yang, J. Q.; Zhang, X. M.; Fu, H. Y.; Liu, C. 3 2017 Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid. Zbl 1369.35057Endo, Masakazu; Giga, Yoshikazu; Götz, Dario; Liu, Chun 3 2017 Diffuse interface methods for multiple phase materials: an energetic variational approach. Zbl 1349.76759Brannick, J.; Liu, C.; Qian, T.; Sun, H. 3 2015 An improved interpolating element-free Galerkin method based on nonsingular weight functions. Zbl 1407.74091Sun, F. X.; Liu, C.; Cheng, Y. M. 3 2014 First-order system least squares and the energetic variational approach for two-phase flow. Zbl 1408.76528Adler, J. H.; Brannick, J.; Liu, C.; Manteuffel, T.; Zikatanov, L. 3 2011 Heart-shaped bubbles rising in anisotropic liquids. Zbl 1146.76583Zhou, Chunfeng; Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 3 2007 On two nonlinear biharmonic evolution equations: existence, uniqueness and stability. Zbl 1071.35042Lai, Ming-Jun; Liu, Chun; Wenston, Paul 3 2004 Bivariate spline method for numerical solution of time evolution Navier-Stokes equations over polygons in stream function formulation. Zbl 1075.76040Lai, Ming-Jun; Liu, Chun; Wenston, Paul 3 2003 Existence of positive solutions for singular higher-order fractional differential equation via spectral analysis. Zbl 1377.34011Guo, Limin; Liu, Chun 2 2017 Two-phase incompressible flows with variable density: an energetic variational approach. Zbl 1361.35129Jiang, Jie; Li, Yinghua; Liu, Chun 2 2017 Strong solutions and instability for the fitness gradient system in evolutionary games between two populations. Zbl 1372.37137Xu, Qiuju; Belmonte, Andrew; deForest, Russ; Liu, Chun; Tan, Zhong 2 2017 Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles. Zbl 1352.35127Wang, Yong; Liu, Chun; Tan, Zhong 2 2017 Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces. Zbl 06807276Liu, Lishan; Liu, Chun; Wang, Fang; Wu, Yonghong 2 2016 Blow-up criterion for compressible visco-elasticity equations in three dimensional space. Zbl 1301.35103Du, Yi; Liu, Chun; Zhang, Qingtian 2 2014 Hydrodynamic boundary conditions for one-component liquid-gas flows on non-isothermal solid substrates. Zbl 1282.76179Liu, Chun; Qian, Tiezheng; Xu, Xinpeng 2 2012 Onsager principle and electrorheological fluid dynamics. Zbl 1167.82018Sheng, Ping; Zhang, Jianwei; Liu, Chun 2 2008 Numerical simulations on two nonlinear biharmonic evolution equations. Zbl 1051.65098Lai, Ming-Jun; Liu, Chun; Wenston, Paul 2 2004 Mathematical developments in the study of smectic A liquid crystals. Zbl 1210.76024Calderer, M. Carme; Liu, Chun 2 2000 Finite-element modelling of deformation and spread in slab rolling. Zbl 0604.73046Liu, C.; Hartley, P.; Sturgess, C. E. N.; Rowe, G. W. 2 1987 A new Lagrange multiplier approach for gradient flows. Zbl 1442.65211Cheng, Qing; Liu, Chun; Shen, Jie 1 2020 A new Lagrange multiplier approach for gradient flows. Zbl 1442.65211Cheng, Qing; Liu, Chun; Shen, Jie 1 2020 An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis. Zbl 1416.35209Liu, Chun; Wu, Hao 9 2019 Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency. Zbl 1429.76032De Anna, Francesco; Liu, Chun 6 2019 Numerical complete solution for random genetic drift by energetic variational approach. Zbl 1418.65150Duan, Chenghua; Liu, Chun; Wang, Cheng; Yue, Xingye 3 2019 Nonlinear simulation of an elastic tumor-host interface. Zbl 1425.92115Lu, Min-Jhe; Liu, Chun; Li, Shuwang 1 2019 Non-isothermal electrokinetics: energetic variational approach. Zbl 1406.35290Liu, Pei; Wu, Simo; Liu, Chun 3 2018 Integrated multiple-model adaptive fault identification and reconfigurable fault-tolerant control for lead-wing close formation systems. Zbl 1385.93041Liu, Chun; Jiang, Bin; Zhang, Ke 1 2018 Existence of weak solutions to an evolutionary model for magnetoelasticity. Zbl 1390.74059Benešová, Barbora; Forster, Johannes; Liu, Chun; Schlömerkemper, Anja 1 2018 Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions. Zbl 1412.34099Liu, Lishan; Li, Hongdan; Liu, Chun; Wu, Yonghong 16 2017 Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081Koba, Hajime; Liu, Chun; Giga, Yoshikazu 14 2017 Inventory competition in a dual-channel supply chain with delivery lead time consideration. Zbl 1443.90081Yang, J. Q.; Zhang, X. M.; Fu, H. Y.; Liu, C. 3 2017 Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid. Zbl 1369.35057Endo, Masakazu; Giga, Yoshikazu; Götz, Dario; Liu, Chun 3 2017 Existence of positive solutions for singular higher-order fractional differential equation via spectral analysis. Zbl 1377.34011Guo, Limin; Liu, Chun 2 2017 Two-phase incompressible flows with variable density: an energetic variational approach. Zbl 1361.35129Jiang, Jie; Li, Yinghua; Liu, Chun 2 2017 Strong solutions and instability for the fitness gradient system in evolutionary games between two populations. Zbl 1372.37137Xu, Qiuju; Belmonte, Andrew; deForest, Russ; Liu, Chun; Tan, Zhong 2 2017 Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles. Zbl 1352.35127Wang, Yong; Liu, Chun; Tan, Zhong 2 2017 Largest well-posed spaces for the general diffusion system with nonlocal interactions. Zbl 1372.35309Deng, Chao; Liu, Chun 1 2017 On partial regularity problem for 3D Boussinesq equations. Zbl 1372.35233Fang, Daoyuan; Liu, Chun; Qian, Chenyin 1 2017 Finite time singularity of the nematic liquid crystal flow in dimension three. Zbl 1344.35104Huang, Tao; Lin, Fanghua; Liu, Chun; Wang, Changyou 18 2016 Energetically stable discretizations for charge transport and electrokinetic models. Zbl 1351.78040Metti, Maximilian S.; Xu, Jinchao; Liu, Chun 8 2016 Boundary layer solutions of charge conserving Poisson-Boltzmann equations: one-dimensional case. Zbl 1344.76077Lee, Chiun-Chang; Lee, Hijin; Hyon, Yunkyong; Lin, Tai-Chia; Liu, Chun 6 2016 A generalized Poisson-Nernst-Planck-Navier-Stokes model on the fluid with the crowded charged particles: derivation and its well-posedness. Zbl 1416.35220Wang, Yong; Liu, Chun; Tan, Zhong 4 2016 Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces. Zbl 06807276Liu, Lishan; Liu, Chun; Wang, Fang; Wu, Yonghong 2 2016 Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density. Zbl 1326.76064Liu, Chun; Shen, Jie; Yang, Xiaofeng 22 2015 Diffusion limit of kinetic equations for multiple species charged particles. Zbl 1308.35311Wu, Hao; Lin, Tai-Chia; Liu, Chun 9 2015 Transport of charged particles: entropy production and maximum dissipation principle. Zbl 1345.76123Hsieh, Chia-Yu; Hyon, YunKyong; Lee, Hijin; Lin, Tai-Chia; Liu, Chun 8 2015 Finite time singularities for hyperbolic systems. Zbl 1316.35005Chen, Geng; Huang, Tao; Liu, Chun 4 2015 Diffuse interface methods for multiple phase materials: an energetic variational approach. Zbl 1349.76759Brannick, J.; Liu, C.; Qian, T.; Sun, H. 3 2015 An energetic variational approach for ion transport. Zbl 1319.35199Xu, Shixin; Sheng, Ping; Liu, Chun 15 2014 Modeling and simulating asymmetrical conductance changes in gramicidin pores. Zbl 1323.92090Xu, Shixin; Chen, Minxin; Majd, Sheereen; Yue, Xingye; Liu, Chun 7 2014 An improved interpolating element-free Galerkin method based on nonsingular weight functions. Zbl 1407.74091Sun, F. X.; Liu, C.; Cheng, Y. M. 3 2014 Blow-up criterion for compressible visco-elasticity equations in three dimensional space. Zbl 1301.35103Du, Yi; Liu, Chun; Zhang, Qingtian 2 2014 An energetic variational approach to ion channel dynamics. Zbl 1302.35375Hyon, YunKyong; Eisenberg, Bob; Liu, Chun 1 2014 On the general Ericksen-Leslie system: Parodi’s relation, well-posedness and stability. Zbl 1320.76010Wu, Hao; Xu, Xiang; Liu, Chun 36 2013 Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. Zbl 1286.65112Yang, Xiaofeng; Forest, M. Gregory; Li, Huiyuan; Liu, Chun; Shen, Jie; Wang, Qi; Chen, Falai 18 2013 High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction. Zbl 1278.76049Stipcich, G.; Fu, H.; Liu, C. 1 2013 \(\theta_{13}\) and the Higgs mass from high scale supersymmetry. Zbl 1264.81319Liu, Chun; Zhao, Zhen-Hua 1 2013 Asymptotic behavior for a nematic liquid crystal model with different kinematic transport properties. Zbl 1259.35040Wu, Hao; Xu, Xiang; Liu, Chun 14 2012 Energy variational approach to study charge inversion (layering) near charged walls. Zbl 1257.82100Hyon, Yunkyong; Fonseca, James E.; Eisenberg, Bob; Liu, Chun 13 2012 Two-phase flow problem coupled with mean curvature flow. Zbl 1246.35212Liu, Chun; Sato, Norifumi; Tonegawa, Yoshihiro 6 2012 Hydrodynamic boundary conditions for one-component liquid-gas flows on non-isothermal solid substrates. Zbl 1282.76179Liu, Chun; Qian, Tiezheng; Xu, Xinpeng 2 2012 A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun 32 2011 New Poisson-Boltzmann type equations: one-dimensional solutions. Zbl 1214.78012Lee, Chiun-Chang; Lee, Hijin; Hyon, Yunkyong; Lin, Tai-Chia; Liu, Chun 19 2011 Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations. Zbl 1408.76550Hua, Jinsong; Lin, Ping; Liu, Chun; Wang, Qi 18 2011 Shear cell rupture of nematic liquid crystal droplets in viscous fluids. Zbl 1282.76061Yang, Xiaofeng; Forest, M. Gregory; Liu, Chun; Shen, Jie 14 2011 A model of electrodiffusion and osmotic water flow and its energetic structure. Zbl 1227.92007Mori, Yoichiro; Liu, Chun; Eisenberg, Robert S. 9 2011 Numerical simulations of hydrodynamics of nematic liquid crystals: effects of kinematic transports. Zbl 1364.76018Zhang, Shupeng; Liu, Chun; Zhang, Hui 5 2011 First-order system least squares and the energetic variational approach for two-phase flow. Zbl 1408.76528Adler, J. H.; Brannick, J.; Liu, C.; Manteuffel, T.; Zikatanov, L. 3 2011 Energetic variational approach in complex fluids: maximum dissipation principle. Zbl 1423.76380Hyon, Yunkyong; Kwak, Do Young; Liu, Chun 27 2010 Axisymmetric solutions to coupled Navier-Stokes/Allen-Cahn equations. Zbl 1203.35191Xu, Xiang; Zhao, Liyun; Liu, Chun 15 2010 On the existence of mean curvature flow with transport term. Zbl 1201.53076Liu, Chun; Sato, Norifumi; Tonegawa, Yoshihiro 5 2010 On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007Sun, Huan; Liu, Chun 47 2009 Energetic variational approaches in modeling vesicle and fluid interactions. Zbl 1183.74056Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 31 2009 Phase field model of thermo-induced Marangoni effects in the mixtures and its numerical simulations with mixed finite element method. Zbl 1364.76097Sun, Pengtao; Liu, Chun; Xu, Jinchao 14 2009 Global solutions for incompressible viscoelastic fluids. Zbl 1138.76017Lei, Zhen; Liu, Chun; Zhou, Yi 106 2008 Boundary conditions for the microscopic FENE models. Zbl 1147.76003Liu, Chun; Liu, Hailiang 5 2008 An enhanced macroscopic closure approximation to the micro-macro FENE model for polymeric materials. Zbl 1173.76001Hyon, Yunkyong; Du, Qiang; Liu, Chun 4 2008 Onsager principle and electrorheological fluid dynamics. Zbl 1167.82018Sheng, Ping; Zhang, Jianwei; Liu, Chun 2 2008 The nucleation and growth of gas bubbles in a Newtonian fluid: an energetic variational phase field approach. Zbl 1306.76050Naber, Aaron; Liu, Chun; Feng, James J. 1 2008 Analysis of a phase field Navier-Stokes vesicle-fluid interaction model. Zbl 1172.74016Du, Qiang; Li, Manlin; Liu, Chun 38 2007 Global existence for a 2D incompressible viscoelastic model with small strain. Zbl 1132.76008Lei, Zhen; Liu, Chun; Zhou, Yi 37 2007 Analysis of finite element approximations of a phase field model for two-phase fluids. Zbl 1111.76028Feng, Xiaobing; He, Yinnian; Liu, Chun 35 2007 An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics. Zbl 1133.65077Lin, Ping; Liu, Chun; Zhang, Hui 29 2007 On a micro-macro model for polymeric fluids near equilibrium. Zbl 1113.76017Lin, Fang-Hua; Liu, Chun; Zhang, Ping 28 2007 Mathematical models for the deformation of electrolyte droplets. Zbl 1147.35343Ryham, Rolf; Liu, Chun; Zikatanov, Ludmil 17 2007 Convergence of numerical approximations of the incompressible Navier-Stokes equations with variable density and viscosity. Zbl 1138.76048Liu, Chun; Walkington, Noel J. 16 2007 Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422Liu, Chun; Shen, Jie; Yang, Xiaofeng 13 2007 Diffuse interface energies capturing the Euler number: relaxation and renomalization. Zbl 1136.74007Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 4 2007 Heart-shaped bubbles rising in anisotropic liquids. Zbl 1146.76583Zhou, Chunfeng; Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 3 2007 Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method. Zbl 1158.76319Yang, Xiaofeng; Feng, James J.; Liu, Chun; Shen, Jie 83 2006 Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. Zbl 1086.74024Du, Qiang; Liu, Chun; Wang, Xiaoqiang 70 2006 Simulations of singularity dynamics in liquid crystal flows: a \(C^0\) finite element approach. Zbl 1101.82039Lin, Ping; Liu, Chun 22 2006 On electro-kinetic fluids: one-dimensional configurations. Zbl 1184.35262Ryham, Rolf; Liu, Chun; Wang, Zhi-Qiang 12 2006 A model for total energy of nematic elastomers with non-uniform prolate spheroids. Zbl 1118.82015Calderer, Maria-Carme; Liu, Chun; Yan, Baisheng 1 2006 On hydrodynamics of viscoelastic fluids. Zbl 1076.76006Lin, Fang-Hua; Liu, Chun; Zhang, Ping 133 2005 A phase field formulation of the Willmore problem. Zbl 1125.35366Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 45 2005 Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids. Zbl 1195.76120Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 31 2005 Viscoelastic effects on drop deformation in steady shear. Zbl 1082.76007Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 25 2005 An energetic variational formulation with phase field methods for interfacial dynamics of complex fluids: advantages and challenges. Zbl 1181.76019Feng, James J.; Liu, Chun; Shen, Jie; Yue, Pengtao 23 2005 FENE dumbbell model and its several linear and nonlinear closure approximations. Zbl 1108.76006Du, Qiang; Liu, Chun; Yu, Peng 22 2005 Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation. Zbl 1078.92004Du, Q.; Liu, C.; Ryham, R.; Wang, X. 20 2005 Retrieving topological information for phase field models. Zbl 1114.74044Du, Qiang; Liu, Chun; Wang, Xiaoqiang 18 2005 Transient drop deformation upon startup of shear in viscoelastic fluids. Zbl 1188.76180Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 10 2005 From micro to macro dynamics via a new closure approximation to the FENE model of polymeric fluids. Zbl 1108.76007Yu, Peng; Du, Qiang; Liu, Chun 10 2005 Dynamic steady-state stress field in a web during slitting. Zbl 1111.74522Liu, C.; Lu, Hongbin; Huang, Young 1 2005 A diffuse-interface method for simulating two-phase flows of complex fluids. Zbl 1130.76437Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 162 2004 A phase field approach in the numerical study of the elastic bending energy for vesicle membranes. Zbl 1116.74384Du, Qiang; Liu, Chun; Wang, Xiaoqiang 108 2004 On two nonlinear biharmonic evolution equations: existence, uniqueness and stability. Zbl 1071.35042Lai, Ming-Jun; Liu, Chun; Wenston, Paul 3 2004 Numerical simulations on two nonlinear biharmonic evolution equations. Zbl 1051.65098Lai, Ming-Jun; Liu, Chun; Wenston, Paul 2 2004 A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method. Zbl 1092.76069Liu, Chun; Shen, Jie 169 2003 Bivariate spline method for numerical solution of time evolution Navier-Stokes equations over polygons in stream function formulation. Zbl 1075.76040Lai, Ming-Jun; Liu, Chun; Wenston, Paul 3 2003 Mixed methods for the approximation of liquid crystal flows. Zbl 1032.76035Liu, Chun; Walkington, Noel J. 19 2002 The phase transition between chiral nematic and smectic \(A^*\) liquid crystals. Zbl 1032.76007Bauman, Patricia; Calderer, M. Carme; Liu, Chun; Phillips, Daniel 16 2002 Time evolution of nematic liquid crystals with variable degree of orientation. Zbl 1003.35108Calderer, M. C.; Golovaty, D.; Lin, F.-H.; Liu, C. 9 2002 Hierarchical shape modeling for automatic face localization. Zbl 1039.68675Liu, C.; Shum, H.-Y.; Zhang, C. 1 2002 Axisymmetric configurations of bipolar liquid crystal droplets. Zbl 1023.76006Shen, Quan; Liu, Chun; Calderer, M. Carme 1 2002 An Eulerian description of fluids containing viscoelastic particles. Zbl 1009.76093Liu, Chun; Walkington, Noel J. 77 2001 Static and dynamic theories of liquid crystals. Zbl 1433.82014Lin, Fanghua; Liu, Chun 46 2001 Evolution of grain boundaries. Zbl 1036.74041Kinderlehrer, David; Liu, Chun 20 2001 On liquid crystal flows with free-slip boundary conditions. Zbl 1014.76005Liu, Chun; Shen, Jie 16 2001 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,846 Authors 47 Liu, Chun 35 Yang, Xiaofeng 31 Liu, Qiao 27 Shen, Jie 20 Guillén González, Francisco M. 20 Wang, Qi 17 Zhao, Jia 16 Fan, Jishan 15 Hu, Xianpeng 15 Kim, Junseok 15 Lowengrub, John Samuel 15 Wang, Changyou 15 Wang, Dehua 15 Zhao, Jihong 14 Yao, Zhengan 13 Wu, Hao 13 Zhang, Zhifei 12 Du, Qiang 12 Lin, Fang Hua 11 Feng, James J. 11 Rocca, Elisabetta 11 Yue, Pengtao 11 Zarnescu, Arghir Dani 10 Jiang, Fei 10 Lei, Zhen 10 Nochetto, Ricardo Horacio 10 Shu, Chang 10 Tan, Zhong 10 Voigt, Axel 10 Wang, Xiaoqiang 10 Xu, Xiang 9 Ding, Shijin 9 Grasselli, Maurizio 9 Lin, Ping 9 Liu, Weishi 9 Schimperna, Giulio 9 Wang, Wei 9 Xu, Jinchao 9 Zi, Ruizhao 8 Abels, Helmut 8 Barrett, John W. 8 Gal, Ciprian Gheorghe Sorin 8 Han, Daozhi 8 Hieber, Matthias 8 Huang, Jinrui 8 Lee, Hyun Geun 8 Liu, Lishan 8 Walker, Shawn W. 8 Wang, Cheng 8 Yuan, Baoquan 8 Zhang, Pingwen 7 Ding, Hang 7 Gong, Yuezheng 7 Guo, Boling 7 He, Xiaoming 7 Huang, Tao 7 Li, Jinkai 7 Liu, Shengquan 7 Masmoudi, Nader 7 Miranville, Alain M. 7 Mori, Yoichiro 7 Sarkar, Kausik 7 Süli, Endre E. 7 Tonegawa, Yoshihiro 7 Wen, Huanyao 7 Wise, Steven M. 7 Yu, Haijun 7 Zhang, Mingji 7 Zhang, Ping 7 Zhang, Ting 7 Zhou, Yong 6 Adler, James H. 6 Afkhami, Shahriar 6 Calderer, Maria-Carme T. 6 Climent-Ezquerra, Blanca 6 Fang, Daoyuan 6 Garcke, Harald 6 Ju, Lili 6 Lee, Chiun-Chang 6 Li, Shuwang 6 Li, Xiaoli 6 Li, Yin 6 Lin, Junyu 6 Liu, Xiangao 6 Ratiu, Tudor Stefan 6 Soldati, Alfredo 6 Tachim Medjo, Theodore 6 Tierra, Giordano 6 Wei, Ruiying 6 Wu, Yonghong 5 Anderson, Patrick D. 5 Bie, Qunyi 5 Chechkin, Gregory A. 5 Constantin, Peter 5 De Anna, Francesco 5 Gala, Sadek 5 Hong, Minchun 5 Hsieh, Chia-Yu 5 Hulsen, Martien A. 5 Khoo, Boo Cheong ...and 1,746 more Authors all top 5 Cited in 184 Serials 177 Journal of Computational Physics 63 Journal of Differential Equations 54 Archive for Rational Mechanics and Analysis 43 Computers and Fluids 42 Journal of Scientific Computing 38 Computer Methods in Applied Mechanics and Engineering 36 Journal of Fluid Mechanics 35 Journal of Mathematical Analysis and Applications 30 Computers & Mathematics with Applications 30 Mathematical Methods in the Applied Sciences 28 SIAM Journal on Mathematical Analysis 24 Discrete and Continuous Dynamical Systems 22 Journal of Computational and Applied Mathematics 22 Nonlinear Analysis. 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