Edit Profile (opens in new tab) Cai, Yuan Co-Author Distance Author ID: cai.yuan Published as: Cai, Yuan Documents Indexed: 19 Publications since 1993, including 1 Additional arXiv Preprint Co-Authors: 8 Co-Authors with 8 Joint Publications 660 Co-Co-Authors all top 5 Co-Authors 2 single-authored 3 Lei, Zhen 3 Navon, Ionel Michael 2 Coffey, H. T. 2 Masmoudi, Nader 2 Rote, D. M. 1 Ball, Frank G. 1 Feng, Binhua 1 Jiang, Yi 1 Kadane, Joseph Born 1 Lin, Fang Hua 1 Lorin, Emmanuel 1 O’Hagan, Anthony 1 Wang, Fan 1 Wang, Wei 1 Zhao, Na 1 Zhu, S. all top 5 Serials 3 Journal of Sound and Vibration 2 Journal of Computational Physics 2 SIAM Journal on Mathematical Analysis 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Dynamic Systems, Measurement and Control 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Calculus of Variations and Partial Differential Equations 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Nonlinear Analysis. Real World Applications 1 Journal of Industrial and Management Optimization all top 5 Fields 9 Partial differential equations (35-XX) 9 Fluid mechanics (76-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 131 times in 124 Documents Cited by ▼ Year ▼ Global well-posedness of the incompressible magnetohydrodynamics. Zbl 1397.35200 Cai, Yuan; Lei, Zhen 77 2018 Vanishing viscosity limit for incompressible viscoelasticity in two dimensions. Zbl 1439.35391 Cai, Yuan; Lei, Zhen; Lin, Fanghua; Masmoudi, Nader 20 2019 Global well-posedness for 2D nonlinear wave equations without compact support. Zbl 1392.35194 Cai, Yuan; Lei, Zhen; Masmoudi, Nader 15 2018 Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium. Zbl 1437.35567 Cai, Yuan; Wang, Wei 9 2020 Concentration for blow-up solutions of the Davey-Stewartson system in \(\mathbb{R}^3\). Zbl 1330.35399 Feng, Binhua; Cai, Yuan 8 2015 Parallel block preconditioning techniques for the numerical simulation of the shallow water flow using finite element methods. Zbl 0840.76031 Cai, Y.; Navon, I. M. 7 1995 Bayesian inference for ion-channel gating mechanisms directly from single-channel recordings, using Markov chain Monte Carlo. Zbl 1063.62586 Ball, F. G.; Cai, Y.; Kadane, J. B.; O’Hagan, A. 6 1999 Domain decomposition and parallel processing of a finite element model of the shallow water equations. Zbl 0784.76052 Navon, I. M.; Cai, Y. 6 1993 Vehicle/guideway interaction for high-speed vehicles on a flexible guideway. Zbl 1045.74527 Cai, Y.; Chen, S. S.; Rote, D. M.; Coffey, H. T. 5 1994 An unsteady flow theory for vortex-induced vibration. Zbl 0982.76509 Chen, S. S.; Zhu, S.; Cai, Y. 2 1995 Vehicle/guideway dynamic interaction in maglev systems. Zbl 0866.90053 Cai, Y.; Chen, S. S.; Rote, D. M.; Coffey, H. T. 1 1996 Uniform bound of the highest-order energy of the 2D incompressible elastodynamics. Zbl 1526.35238 Cai, Yuan 1 2023 Global vanishing viscosity limit for the two dimensional incompressible viscoelasticity in Lagrangian coordinates. Zbl 1507.35167 Cai, Yuan 1 2022 Uniform bound of the highest-order energy of the 2D incompressible elastodynamics. Zbl 1526.35238 Cai, Yuan 1 2023 Global vanishing viscosity limit for the two dimensional incompressible viscoelasticity in Lagrangian coordinates. Zbl 1507.35167 Cai, Yuan 1 2022 Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium. Zbl 1437.35567 Cai, Yuan; Wang, Wei 9 2020 Vanishing viscosity limit for incompressible viscoelasticity in two dimensions. Zbl 1439.35391 Cai, Yuan; Lei, Zhen; Lin, Fanghua; Masmoudi, Nader 20 2019 Global well-posedness of the incompressible magnetohydrodynamics. Zbl 1397.35200 Cai, Yuan; Lei, Zhen 77 2018 Global well-posedness for 2D nonlinear wave equations without compact support. Zbl 1392.35194 Cai, Yuan; Lei, Zhen; Masmoudi, Nader 15 2018 Concentration for blow-up solutions of the Davey-Stewartson system in \(\mathbb{R}^3\). Zbl 1330.35399 Feng, Binhua; Cai, Yuan 8 2015 Bayesian inference for ion-channel gating mechanisms directly from single-channel recordings, using Markov chain Monte Carlo. Zbl 1063.62586 Ball, F. G.; Cai, Y.; Kadane, J. B.; O’Hagan, A. 6 1999 Vehicle/guideway dynamic interaction in maglev systems. Zbl 0866.90053 Cai, Y.; Chen, S. S.; Rote, D. M.; Coffey, H. T. 1 1996 Parallel block preconditioning techniques for the numerical simulation of the shallow water flow using finite element methods. Zbl 0840.76031 Cai, Y.; Navon, I. M. 7 1995 An unsteady flow theory for vortex-induced vibration. Zbl 0982.76509 Chen, S. S.; Zhu, S.; Cai, Y. 2 1995 Vehicle/guideway interaction for high-speed vehicles on a flexible guideway. Zbl 1045.74527 Cai, Y.; Chen, S. S.; Rote, D. M.; Coffey, H. T. 5 1994 Domain decomposition and parallel processing of a finite element model of the shallow water equations. Zbl 0784.76052 Navon, I. M.; Cai, Y. 6 1993 all cited Publications top 5 cited Publications all top 5 Cited by 169 Authors 15 Wu, Jiahong 6 Lin, Hongxia 5 Dong, Shijie 5 Zhu, Yi 4 Cai, Yuan 4 Feng, Binhua 4 Feng, Wen 4 Ji, Ruihong 4 Jiang, Ning 4 Wang, Yuzhu 3 Hafeez, Farzana 3 Hu, Xianpeng 3 Jiang, Fei 3 Jiang, Song 3 Li, Mengni 3 Wang, Wei 3 Xie, Feng 3 Yan, Weiping 3 Zhang, Zhifei 3 Zi, Ruizhao 2 Bian, Dongfen 2 Cui, Xiufang 2 Dong, Boqing 2 Gu, Xumin 2 He, Daoyin 2 Huang, Jiaxi 2 Huang, Jinrui 2 Jia, Yan 2 Lai, Suhua 2 Lei, Zhen 2 Li, Weijia 2 Li, Zijin 2 Liu, Cheng-Jie 2 Lu, Cheng 2 Luo, Yi-Long 2 Ma, Yangjun 2 Ma, Yue 2 Rădulescu, Vicenţiu D. 2 Sun, Changzhen 2 Xiao, Yamin 2 Xie, Yingying 2 Xu, Xiaojing 2 Yan, Li 2 Yang, Tong 2 Yuan, Baoquan 2 Zhang, Jianwen 2 Zhao, Lifeng 2 Zhao, Weiren 2 Zhao, Youyi 2 Zhou, Yi 2 Zhu, Ning 2 Zhu, Shihui 1 Aarach, Nacer 1 Bai, Ru 1 Besse, Nicolas 1 Bie, Qunyi 1 Boardman, Nicki 1 Chen, Dongxiang 1 Chen, Tiantian 1 Chen, Wenji 1 De Anna, Francesco 1 Deng, Wen 1 Fang, Hui 1 Fu, Shengbin 1 Gao, Song 1 Guo, Boling 1 Guo, Liang 1 Guo, Yana 1 Guo, Zhengguang 1 Hadadifard, Fazel 1 Han, Jiangbo 1 He, Yinnian 1 He, Zhiqian 1 Hopf, Katharina 1 Hou, Fei 1 Huang, Juan 1 Huang, Wenting 1 Jian, Fangfang 1 Jiang, Liya 1 Jiu, Quansen 1 Jonov, Boyan 1 Kessenich, Paul 1 Lai, Chunlin 1 Li, Chaoying 1 Li, Fucai 1 Li, Jingna 1 Li, Kuijie 1 Li, Lingfei 1 Li, Shengxin 1 Li, Sirui 1 Li, Yang 1 Liang, Yunyun 1 Liu, Fagui 1 Liu, Huimin 1 Liu, Jiayin 1 Liu, Jie 1 Liu, Jitao 1 Liu, Lvqiao 1 Luo, Wen 1 Ma, Liangliang ...and 69 more Authors all top 5 Cited in 44 Serials 15 Journal of Differential Equations 14 SIAM Journal on Mathematical Analysis 10 Archive for Rational Mechanics and Analysis 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Functional Analysis 5 Calculus of Variations and Partial Differential Equations 5 Discrete and Continuous Dynamical Systems 4 Journal of Mathematical Analysis and Applications 4 Advances in Mathematics 4 Science China. Mathematics 3 Acta Applicandae Mathematicae 3 Journal of Nonlinear Science 3 Journal of Mathematical Fluid Mechanics 3 Nonlinear Analysis. Real World Applications 3 Journal of Evolution Equations 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Mathematical Physics 2 Results in Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Analysis and Applications (Singapore) 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Applied Mathematics and Computation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Chinese Annals of Mathematics. Series B 1 Applied Mathematics Letters 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Bulletin des Sciences Mathématiques 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications on Pure and Applied Analysis 1 Journal of Hyperbolic Differential Equations 1 Acta Numerica 1 Boundary Value Problems 1 Kinetic and Related Models 1 Communications in Mathematical Research 1 Bulletin of Mathematical Sciences 1 Evolution Equations and Control Theory 1 SN Partial Differential Equations and Applications all top 5 Cited in 16 Fields 120 Partial differential equations (35-XX) 98 Fluid mechanics (76-XX) 9 Mechanics of deformable solids (74-XX) 5 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Real functions (26-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year