Edit Profile Liu, Chun Compute Distance To: Compute Author ID: liu.chun Published as: Liu, C.; Liu, Chun Documents Indexed: 161 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 8 Yue, Xingye 7 Wang, Xiaoqiang 6 Ryham, Rolf J. 6 Xu, Shixin 6 Yue, Pengtao 5 Lin, Taichia 5 Yang, Xiaofeng 4 Duan, Chenghua 4 Walkington, Noel J. 4 Wu, Hao 3 Brannick, James J. 3 Chen, Minxin 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 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, Yiwei 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, Wenbin 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 ...and 60 more Co-Authors all top 5 Serials 13 Journal of Computational Physics 11 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 SIAM Journal on Scientific Computing 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 91 Fluid mechanics (76-XX) 65 Partial differential equations (35-XX) 34 Numerical analysis (65-XX) 28 Statistical mechanics, structure of matter (82-XX) 19 Mechanics of deformable solids (74-XX) 19 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 117 Publications have been cited 2,801 times in 1,379 Documents Cited by ▼ Year ▼ Nonparabolic dissipative systems modeling the flow of liquid crystals. Zbl 0842.35084Lin, Fang-Hua; Liu, Chun 267 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 181 2003 A diffuse-interface method for simulating two-phase flows of complex fluids. Zbl 1130.76437Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 175 2004 On hydrodynamics of viscoelastic fluids. Zbl 1076.76006Lin, Fang-Hua; Liu, Chun; Zhang, Ping 135 2005 Existence of solutions for the Ericksen-Leslie system. Zbl 0963.35158Lin, Fang-Hua; Liu, Chun 120 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 113 2004 Preconditioned multigrid methods for unsteady incompressible flows. Zbl 0908.76064Liu, C.; Zheng, X.; Sung, C. H. 110 1998 Global solutions for incompressible viscoelastic fluids. Zbl 1138.76017Lei, Zhen; Liu, Chun; Zhou, Yi 107 2008 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 88 2006 An Eulerian description of fluids containing viscoelastic particles. Zbl 1009.76093Liu, Chun; Walkington, Noel J. 82 2001 Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. Zbl 1086.74024Du, Qiang; Liu, Chun; Wang, Xiaoqiang 76 2006 Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098Lin, Fang-Hua; Liu, Chun 66 1996 On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007Sun, Huan; Liu, Chun 48 2009 A phase field formulation of the Willmore problem. Zbl 1125.35366Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 48 2005 Static and dynamic theories of liquid crystals. Zbl 1433.82014Lin, Fanghua; Liu, Chun 48 2001 Approximation of liquid crystal flows. Zbl 1040.76036Liu, Chun; Walkington, Noel J. 45 2000 Analysis of finite element approximations of a phase field model for two-phase fluids. Zbl 1111.76028Feng, Xiaobing; He, Yinnian; Liu, Chun 39 2007 On the general Ericksen-Leslie system: Parodi’s relation, well-posedness and stability. Zbl 1320.76010Wu, Hao; Xu, Xiang; Liu, Chun 38 2013 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 A mathematical model for the hard sphere repulsion in ionic solutions. Zbl 1406.76089Hyon, Yunkyong; Eisenberg, Bob; Liu, Chun 34 2011 Energetic variational approaches in modeling vesicle and fluid interactions. Zbl 1183.74056Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 34 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 Energetic variational approach in complex fluids: maximum dissipation principle. Zbl 1423.76380Hyon, Yunkyong; Kwak, Do Young; Liu, Chun 29 2010 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 29 2007 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 27 2015 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 25 2005 Viscoelastic effects on drop deformation in steady shear. Zbl 1082.76007Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 25 2005 Simulations of singularity dynamics in liquid crystal flows: a \(C^0\) finite element approach. Zbl 1101.82039Lin, Ping; Liu, Chun 24 2006 FENE dumbbell model and its several linear and nonlinear closure approximations. Zbl 1108.76006Du, Qiang; Liu, Chun; Yu, Peng 22 2005 Retrieving topological information for phase field models. Zbl 1114.74044Du, Qiang; Liu, Chun; Wang, Xiaoqiang 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. 21 2005 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 20 2013 New Poisson-Boltzmann type equations: one-dimensional solutions. Zbl 1214.78012Lee, Chiun-Chang; Lee, Hijin; Hyon, Yunkyong; Lin, Tai-Chia; Liu, Chun 20 2011 Mixed methods for the approximation of liquid crystal flows. Zbl 1032.76035Liu, Chun; Walkington, Noel J. 20 2002 Evolution of grain boundaries. Zbl 1036.74041Kinderlehrer, David; Liu, Chun 20 2001 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 19 2011 Finite time singularity of the nematic liquid crystal flow in dimension three. Zbl 1344.35104Huang, Tao; Lin, Fanghua; Liu, Chun; Wang, Changyou 18 2016 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 17 2017 Mathematical models for the deformation of electrolyte droplets. Zbl 1147.35343Ryham, Rolf; Liu, Chun; Zikatanov, Ludmil 17 2007 An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis. Zbl 1416.35209Liu, Chun; Wu, Hao 16 2019 An energetic variational approach for ion transport. Zbl 1319.35199Xu, Shixin; Sheng, Ping; Liu, Chun 16 2014 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 Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081Koba, Hajime; Liu, Chun; Giga, Yoshikazu 15 2017 Axisymmetric solutions to coupled Navier-Stokes/Allen-Cahn equations. Zbl 1203.35191Xu, Xiang; Zhao, Liyun; Liu, Chun 15 2010 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 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 Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422Liu, Chun; Shen, Jie; Yang, Xiaofeng 14 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 Energetically stable discretizations for charge transport and electrokinetic models. Zbl 1351.78040Metti, Maximilian S.; Xu, Jinchao; Liu, Chun 11 2016 Diffusion limit of kinetic equations for multiple species charged particles. Zbl 1308.35311Wu, Hao; Lin, Tai-Chia; Liu, Chun 10 2015 A model of electrodiffusion and osmotic water flow and its energetic structure. Zbl 1227.92007Mori, Yoichiro; Liu, Chun; Eisenberg, Robert S. 10 2011 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 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 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 Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency. Zbl 1429.76032De Anna, Francesco; Liu, Chun 7 2019 Modeling and simulating asymmetrical conductance changes in gramicidin pores. Zbl 1323.92090Xu, Shixin; Chen, Minxin; Majd, Sheereen; Yue, Xingye; Liu, Chun 7 2014 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 Numerical complete solution for random genetic drift by energetic variational approach. Zbl 1418.65150Duan, Chenghua; Liu, Chun; Wang, Cheng; Yue, Xingye 4 2019 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 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. 4 2011 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 A new Lagrange multiplier approach for gradient flows. Zbl 1442.65211Cheng, Qing; Liu, Chun; Shen, Jie 3 2020 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 Existence of positive solutions for singular higher-order fractional differential equation via spectral analysis. Zbl 1377.34011Guo, Limin; Liu, Chun 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 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 weak solutions to an evolutionary model for magnetoelasticity. Zbl 1390.74059Benešová, Barbora; Forster, Johannes; Liu, Chun; Schlömerkemper, Anja 2 2018 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 A new Lagrange multiplier approach for gradient flows. Zbl 1442.65211Cheng, Qing; Liu, Chun; Shen, Jie 3 2020 On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach. Zbl 1437.76041Liu, Chun; Wang, Yiwei 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 16 2019 Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency. Zbl 1429.76032De Anna, Francesco; Liu, Chun 7 2019 Numerical complete solution for random genetic drift by energetic variational approach. Zbl 1418.65150Duan, Chenghua; Liu, Chun; Wang, Cheng; Yue, Xingye 4 2019 Numerical methods for porous medium equation by an energetic variational approach. Zbl 1451.76118Duan, Chenghua; Liu, Chun; Wang, Cheng; Yue, Xingye 1 2019 Nonlinear simulation of an elastic tumor-host interface. Zbl 1425.92115Lu, Min-Jhe; Liu, Chun; Li, Shuwang 1 2019 Hierarchical-structure-based fault estimation and fault-tolerant control for multiagent systems. Zbl 07093922Liu, Chun; Jiang, Bin; Patton, Ron J.; Zhang, Ke 1 2019 Non-isothermal electrokinetics: energetic variational approach. Zbl 1406.35290Liu, Pei; Wu, Simo; Liu, Chun 3 2018 Existence of weak solutions to an evolutionary model for magnetoelasticity. Zbl 1390.74059Benešová, Barbora; Forster, Johannes; Liu, Chun; Schlömerkemper, Anja 2 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 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 17 2017 Energetic variational approaches for incompressible fluid systems on an evolving surface. Zbl 1358.37081Koba, Hajime; Liu, Chun; Giga, Yoshikazu 15 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 Existence of positive solutions for singular higher-order fractional differential equation via spectral analysis. Zbl 1377.34011Guo, Limin; Liu, Chun 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 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 11 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 27 2015 Diffusion limit of kinetic equations for multiple species charged particles. Zbl 1308.35311Wu, Hao; Lin, Tai-Chia; Liu, Chun 10 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 16 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 38 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 20 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 14 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 34 2011 New Poisson-Boltzmann type equations: one-dimensional solutions. Zbl 1214.78012Lee, Chiun-Chang; Lee, Hijin; Hyon, Yunkyong; Lin, Tai-Chia; Liu, Chun 20 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 19 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. 10 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. 4 2011 Energetic variational approach in complex fluids: maximum dissipation principle. Zbl 1423.76380Hyon, Yunkyong; Kwak, Do Young; Liu, Chun 29 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 48 2009 Energetic variational approaches in modeling vesicle and fluid interactions. Zbl 1183.74056Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 34 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 107 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 finite element approximations of a phase field model for two-phase fluids. Zbl 1111.76028Feng, Xiaobing; He, Yinnian; Liu, Chun 39 2007 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 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 29 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 14 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 88 2006 Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. Zbl 1086.74024Du, Qiang; Liu, Chun; Wang, Xiaoqiang 76 2006 Simulations of singularity dynamics in liquid crystal flows: a \(C^0\) finite element approach. Zbl 1101.82039Lin, Ping; Liu, Chun 24 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 135 2005 A phase field formulation of the Willmore problem. Zbl 1125.35366Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang 48 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 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 25 2005 Viscoelastic effects on drop deformation in steady shear. Zbl 1082.76007Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie 25 2005 FENE dumbbell model and its several linear and nonlinear closure approximations. Zbl 1108.76006Du, Qiang; Liu, Chun; Yu, Peng 22 2005 Retrieving topological information for phase field models. Zbl 1114.74044Du, Qiang; Liu, Chun; Wang, Xiaoqiang 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. 21 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 175 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 113 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 181 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. 20 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. 82 2001 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,927 Authors 49 Liu, Chun 39 Yang, Xiaofeng 31 Liu, Qiao 27 Shen, Jie 21 Wang, Qi 20 Guillén González, Francisco M. 17 Zhao, Jia 16 Fan, Jishan 16 Lowengrub, John Samuel 15 Hu, Xianpeng 15 Kim, Junseok 15 Wang, Changyou 15 Wang, Dehua 15 Zhao, Jihong 14 Yao, Zhengan 13 Du, Qiang 13 Wu, Hao 13 Zhang, Zhifei 12 Lin, Fang Hua 12 Rocca, Elisabetta 12 Zarnescu, Arghir Dani 11 Feng, James J. 11 Jiang, Fei 11 Lin, Ping 11 Wang, Xiaoqiang 11 Yue, Pengtao 10 Lei, Zhen 10 Nochetto, Ricardo Horacio 10 Schimperna, Giulio 10 Shu, Chang 10 Tan, Zhong 10 Voigt, Axel 10 Xu, Xiang 9 Ding, Shijin 9 Grasselli, Maurizio 9 Liu, Weishi 9 Wang, Wei 9 Xu, Jinchao 9 Zi, Ruizhao 8 Abels, Helmut 8 Barrett, John W. 8 Gal, Ciprian Gheorghe Sorin 8 Guo, Boling 8 Han, Daozhi 8 He, Xiaoming 8 Hieber, Matthias 8 Huang, Jinrui 8 Lee, Hyun Geun 8 Liu, Lishan 8 Mori, Yoichiro 8 Walker, Shawn W. 8 Wang, Cheng 8 Wise, Steven M. 8 Yuan, Baoquan 8 Zhang, Mingji 8 Zhang, Pingwen 7 Ding, Hang 7 Gong, Yuezheng 7 Huang, Tao 7 Li, Jinkai 7 Liu, Shengquan 7 Masmoudi, Nader 7 Miranville, Alain M. 7 Pan, Kejia 7 Sarkar, Kausik 7 Süli, Endre E. 7 Tachim Medjo, Theodore 7 Tonegawa, Yoshihiro 7 Wen, Huanyao 7 Yu, Haijun 7 Zhang, Ping 7 Zhang, Ting 7 Zhou, Yong 6 Adler, James H. 6 Afkhami, Shahriar 6 Calderer, Maria-Carme T. 6 Chen, Chuanjun 6 Climent-Ezquerra, Blanca 6 Dong, Suchuan 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 Sun, Shuyu 6 Tierra, Giordano 6 Wei, Ruiying 6 Wu, Yonghong 5 Anderson, Patrick D. 5 Bie, Qunyi 5 Chechkin, Gregory A. 5 Chen, Lizhen 5 Constantin, Peter 5 De Anna, Francesco ...and 1,827 more Authors all top 5 Cited in 188 Serials 196 Journal of Computational Physics 67 Journal of Differential Equations 55 Archive for Rational Mechanics and Analysis 43 Computers and Fluids 43 Journal of Scientific Computing 38 Computer Methods in Applied Mechanics and Engineering 38 Journal of Mathematical Analysis and Applications 37 Journal of Fluid Mechanics 30 Computers & Mathematics with Applications 30 Mathematical Methods in the Applied Sciences 29 SIAM Journal on Mathematical Analysis 27 SIAM Journal on Scientific Computing 24 Journal of Computational and Applied Mathematics 24 Discrete and Continuous Dynamical Systems 22 Nonlinear Analysis. 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