# zbMATH — the first resource for mathematics

## Lin, Zhi

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 Author ID: lin.zhi Published as: Lin, Z.; Lin, Zhi
 Documents Indexed: 54 Publications since 1994
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#### Co-Authors

 9 single-authored 10 Peng, Zaiyun 9 Li, Xiaobing 7 Wang, Qilin 4 Camassa, Roberto 4 Doering, Charles R. 4 McLaughlin, Richard M. 4 Yu, Jian 3 Long, Xianjun 2 Cheng, Pan 2 Lunasin, Evelyn M. 2 Mazzucato, Anna L. 2 Novikov, Alexei 2 Thiffeault, Jean-Luc 2 Wang, Dacheng 2 Yu, Kaizhi 1 Bod’ová, Katarína 1 Bronski, Jared C. 1 Chen, Jiawei 1 Childress, Stephen 1 De Cola, Tomaso 1 Huang, Yongming 1 Li, Keke 1 Li, Xianbin 1 Lin, Min 1 Liu, Yawei 1 Mertens, Karl 1 Scotti, Alberto 1 Sun, Xiangkai 1 Tzou, Chung-Nan 1 Walsh, James Bruce 1 Wang, Jingjing 1 Wang, Meijuan 1 Wang, Qingling 1 Wang, Qiulian 1 Wang, Ziyuan 1 White, Brian L. 1 Xie, Peng 1 Yang, Hui 1 Yu, Xiaojun 1 Zeng, Jing 1 Zhang, Qinghai 1 Zhang, Wenzhong 1 Zhao, Yong 1 Zhou, Daqiong 1 Zhou, Yacong 1 Zhou, Yonghui 1 Zhu, Weiping
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#### Serials

 4 Journal of Inequalities and Applications 3 Journal of Fluid Mechanics 3 Journal of Systems Science and Mathematical Sciences 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Optimization 2 Positivity 2 Journal of Computational Analysis and Applications 2 Nonlinear Analysis. Real World Applications 2 Journal of Industrial and Management Optimization 2 Pacific Journal of Optimization 1 Journal of Computational Physics 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Applied Mathematics Letters 1 IEEE Transactions on Signal Processing 1 Journal of Global Optimization 1 Applied Mathematics. Series B (English Edition) 1 Top 1 Discrete and Continuous Dynamical Systems 1 Journal of Applied Mathematics 1 International Journal of Pure and Applied Mathematics 1 Communications in Mathematical Sciences 1 Modern Applied Science 1 Journal of Chongqing Normal University. Natural Science
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#### Fields

 24 Operations research, mathematical programming (90-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 9 Fluid mechanics (76-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Operator theory (47-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

32 Publications have been cited 196 times in 156 Documents Cited by Year
Optimal stirring strategies for passive scalar mixing. Zbl 1241.76361
Lin, Zhi; Thiffeault, Jean-Luc; Doering, Charles R.
2011
Stirring by squirmers. Zbl 1225.76321
Lin, Zhi; Thiffeault, Jean-Luc; Childress, Stephen
2011
The existence of solutions for the system of generalized vector quasi-equilibrium problems. Zbl 1074.90041
Lin, Zhi; Yu, Jian
2005
Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows. Zbl 1302.76076
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
2012
Essential components of the set of weakly Pareto-Nash equilibrium points for multiobjective generalized games in two different topological spaces. Zbl 1102.91024
Lin, Z.
2005
$$\mathcal P \mathcal T$$-symmetric electronics. Zbl 1261.81076
Schindler, J.; Lin, Z.; Lee, J. M.; Ramezani, H.; Ellis, F. M.; Kottos, T.
2012
On existence of vector equilibrium flows with capacity constraints of arcs. Zbl 1192.90211
Lin, Zhi
2010
The exact evolution of the scalar variance in pipe and channel flow. Zbl 1220.82098
Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M.
2010
The study of traffic equilibrium problems with capacity constraints of arcs. Zbl 1198.90085
Lin, Zhi
2010
Stability results for properly quasi convex vector optimization problems. Zbl 1312.49025
Li, X. B.; Wang, Q. L.; Lin, Z.
2015
Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem. Zbl 1338.90416
Wang, Q. L.; Lin, Zhi; Li, Xiao Bing
2014
On existence and essential components of the solution set for the system of vector quasi-equilibrium problems. Zbl 1224.90197
Lin, Zhi; Yang, Hui; Yu, Jian
2005
Convergence for vector optimization problems with variable ordering structure. Zbl 1345.49033
Li, X. B.; Lin, Z.; Peng, Z. Y.
2016
Stability of approximate solution mappings for generalized Ky Fan inequality. Zbl 1338.49051
Li, Xiao Bing; Lin, Z.; Wang, Q. L.
2016
Stability of set-valued optimization problems with naturally quasi-functions. Zbl 1337.49029
Li, Xiao-Bing; Wang, Qi-Lin; Lin, Zhi
2016
Optimal mixing of buoyant jets and plumes in stratified fluids: theory and experiments. Zbl 1382.76275
Camassa, R.; Lin, Z.; McLaughlin, R. M.; Mertens, K.; Tzou, C.; Walsh, J.; White, B.
2016
Stability of solution mapping for parametric symmetric vector equilibrium problems. Zbl 1305.49029
Li, Xiao-Bing; Long, Xian-Jun; Lin, Zhi
2015
Convergence results for Henig proper efficient solution sets of vector optimization problems. Zbl 1302.49036
Li, Xiao-Bing; Peng, Zai-Yun; Lin, Zhi
2014
The study of the system of generalized vector quasi-equilibrium problems. Zbl 1146.90080
Lin, Zhi
2006
Computation of stable invariant subspaces of Hamiltonian matrices. Zbl 0799.65044
Patel, R. V.; Lin, Z.; Misra, P.
1994
Models & measures of mixing & effective diffusion. Zbl 1387.76038
Lin, Zhi; Bod’ová, Katarína; Doering, Charles R.
2010
A finite element Poisson solver for gyrokinetic particle simulations in a global field aligned mesh. Zbl 1088.76027
Nishimura, Y.; Lin, Z.; Lewandowski, J. L. V.; Ethier, S.
2006
On the essential components of the set of Nash equilibrium points for infinite games. Zbl 1184.91027
Zhou, Yonghui; Yu, Jian; Lin, Zhi
2005
On well-posedness of the multiobjective generalized game. Zbl 1184.91024
Lin, Zhi; Yu, Jian
2004
High-order finite-volume solutions of the steady-state advection-diffusion equation with nonlinear Robin boundary conditions. Zbl 1378.76058
Lin, Zhi; Zhang, Qinghai
2017
Five-order algorithms for solving Laplace’s Steklov eigenvalue on polygon by mechanical quadrature methods. Zbl 1319.65108
Cheng, Pan; Lin, Zhi; Zhang, Wenzhong
2015
A note on solution lower semicontinuity for parametric generalized vector equilibrium problems. Zbl 1379.49024
Peng, Zai Yun; Lin, Zhi; Yu, Kai Zhi; Wang, Da Cheng
2014
Erratum to: “Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem”. Zbl 1338.90417
Wang, Q. L.; Lin, Zhi; Li, X. B.
2014
Erratum: “Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows”. Zbl 1302.76077
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
2013
Some new properties of strongly convex fuzzy sets. Zbl 1189.90219
Peng, Zai-yun; Long, Xian-jun; Lin, Zhi
2009
Existence of solutions to the system of generalized implicit vector quasivariational inequality problems. Zbl 1173.49012
Lin, Zhi
2009
Mechanical properties of cocoons constructed consecutively by a single silkworm caterpillar, Bombyx mori. Zbl 1257.74106
Huang, S. Q.; Zhao, H. P.; Feng, X. Q.; Cui, W.; Lin, Z.; Xu, M. Q.
2008
High-order finite-volume solutions of the steady-state advection-diffusion equation with nonlinear Robin boundary conditions. Zbl 1378.76058
Lin, Zhi; Zhang, Qinghai
2017
Convergence for vector optimization problems with variable ordering structure. Zbl 1345.49033
Li, X. B.; Lin, Z.; Peng, Z. Y.
2016
Stability of approximate solution mappings for generalized Ky Fan inequality. Zbl 1338.49051
Li, Xiao Bing; Lin, Z.; Wang, Q. L.
2016
Stability of set-valued optimization problems with naturally quasi-functions. Zbl 1337.49029
Li, Xiao-Bing; Wang, Qi-Lin; Lin, Zhi
2016
Optimal mixing of buoyant jets and plumes in stratified fluids: theory and experiments. Zbl 1382.76275
Camassa, R.; Lin, Z.; McLaughlin, R. M.; Mertens, K.; Tzou, C.; Walsh, J.; White, B.
2016
Stability results for properly quasi convex vector optimization problems. Zbl 1312.49025
Li, X. B.; Wang, Q. L.; Lin, Z.
2015
Stability of solution mapping for parametric symmetric vector equilibrium problems. Zbl 1305.49029
Li, Xiao-Bing; Long, Xian-Jun; Lin, Zhi
2015
Five-order algorithms for solving Laplace’s Steklov eigenvalue on polygon by mechanical quadrature methods. Zbl 1319.65108
Cheng, Pan; Lin, Zhi; Zhang, Wenzhong
2015
Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem. Zbl 1338.90416
Wang, Q. L.; Lin, Zhi; Li, Xiao Bing
2014
Convergence results for Henig proper efficient solution sets of vector optimization problems. Zbl 1302.49036
Li, Xiao-Bing; Peng, Zai-Yun; Lin, Zhi
2014
A note on solution lower semicontinuity for parametric generalized vector equilibrium problems. Zbl 1379.49024
Peng, Zai Yun; Lin, Zhi; Yu, Kai Zhi; Wang, Da Cheng
2014
Erratum to: “Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem”. Zbl 1338.90417
Wang, Q. L.; Lin, Zhi; Li, X. B.
2014
Erratum: “Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows”. Zbl 1302.76077
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
2013
Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows. Zbl 1302.76076
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
2012
$$\mathcal P \mathcal T$$-symmetric electronics. Zbl 1261.81076
Schindler, J.; Lin, Z.; Lee, J. M.; Ramezani, H.; Ellis, F. M.; Kottos, T.
2012
Optimal stirring strategies for passive scalar mixing. Zbl 1241.76361
Lin, Zhi; Thiffeault, Jean-Luc; Doering, Charles R.
2011
Stirring by squirmers. Zbl 1225.76321
Lin, Zhi; Thiffeault, Jean-Luc; Childress, Stephen
2011
On existence of vector equilibrium flows with capacity constraints of arcs. Zbl 1192.90211
Lin, Zhi
2010
The exact evolution of the scalar variance in pipe and channel flow. Zbl 1220.82098
Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M.
2010
The study of traffic equilibrium problems with capacity constraints of arcs. Zbl 1198.90085
Lin, Zhi
2010
Models & measures of mixing & effective diffusion. Zbl 1387.76038
Lin, Zhi; Bod’ová, Katarína; Doering, Charles R.
2010
Some new properties of strongly convex fuzzy sets. Zbl 1189.90219
Peng, Zai-yun; Long, Xian-jun; Lin, Zhi
2009
Existence of solutions to the system of generalized implicit vector quasivariational inequality problems. Zbl 1173.49012
Lin, Zhi
2009
Mechanical properties of cocoons constructed consecutively by a single silkworm caterpillar, Bombyx mori. Zbl 1257.74106
Huang, S. Q.; Zhao, H. P.; Feng, X. Q.; Cui, W.; Lin, Z.; Xu, M. Q.
2008
The study of the system of generalized vector quasi-equilibrium problems. Zbl 1146.90080
Lin, Zhi
2006
A finite element Poisson solver for gyrokinetic particle simulations in a global field aligned mesh. Zbl 1088.76027
Nishimura, Y.; Lin, Z.; Lewandowski, J. L. V.; Ethier, S.
2006
The existence of solutions for the system of generalized vector quasi-equilibrium problems. Zbl 1074.90041
Lin, Zhi; Yu, Jian
2005
Essential components of the set of weakly Pareto-Nash equilibrium points for multiobjective generalized games in two different topological spaces. Zbl 1102.91024
Lin, Z.
2005
On existence and essential components of the solution set for the system of vector quasi-equilibrium problems. Zbl 1224.90197
Lin, Zhi; Yang, Hui; Yu, Jian
2005
On the essential components of the set of Nash equilibrium points for infinite games. Zbl 1184.91027
Zhou, Yonghui; Yu, Jian; Lin, Zhi
2005
On well-posedness of the multiobjective generalized game. Zbl 1184.91024
Lin, Zhi; Yu, Jian
2004
Computation of stable invariant subspaces of Hamiltonian matrices. Zbl 0799.65044
Patel, R. V.; Lin, Z.; Misra, P.
1994
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#### Cited by 282 Authors

 6 Lin, Zhi 5 Hu, Weiwei 5 Hung, Nguyen Van 5 Lauga, Eric 4 Crippa, Gianluca 4 Ding, Xie Ping 4 Doering, Charles R. 4 Khare, Avinash 4 Saxena, Avadh Behari 3 Bagarello, Fabio 3 Balasuriya, Sanjeeva 3 Coti Zelati, Michele 3 Lalitha, C. S. 3 Li, Xiaobing 3 Mazzucato, Anna L. 3 Peng, Zaiyun 3 Song, Qi-Qing 3 Wangkeeree, Rabian 3 Wu, Jiahong 3 Xiang, Shuwen 3 Yu, Jian 2 Alberti, Giovanni 2 Anh, Lam Quoc 2 Ansari, Qamrul Hasan 2 Bantaojai, Thanatporn 2 Bedrossian, Jacob 2 Bruus, Henrik 2 Caulfield, C. P. 2 Chen, Chunrong 2 Comech, Andrew 2 Dinh The Luc 2 Eggl, M. F. 2 Fan, Xiaodong 2 Froyland, Gary 2 Kapoor, Shiva 2 Li, Shujiang 2 Li, Xiongbing 2 Marcotte, Florence 2 Michelin, Sebastien 2 Phuong, Truong Thi Thanh 2 Santitissadeekorn, Naratip 2 Schmid, Peter Joseph 2 Schulze, Christian 2 Seis, Christian 2 Spagnolie, Saverio Eric 2 Subramanian, Ganesh 2 Tam, Vo Minh 2 Vedel, Søren 2 Wang, Qilin 2 Wei, Hongzhi 2 Yang, Xinmin 2 Yao, Jen-Chih 2 Zeng, Jing 2 Zhou, Yonghui 2 Zlatoš, Andrej 2 Zuo, Xin 1 Al-Homidan, Suliman S. 1 Alam, Mohammad-Reza 1 Alben, Silas D. 1 Alexakis, Alexandros 1 Alicata, G. 1 ALin, Zhi 1 Angelino, P. 1 Ardekani, Arezoo M. 1 Auchmuty, Giles 1 Bento, Glaydston de Carvalho 1 Boccardo, Gianluca 1 Bottino, Andrea 1 Boussïd, Nabile 1 Bouza-Allende, Gemayqzel 1 Brandt, Laura K. 1 Brandt, Luca 1 Breugem, Wim-Paul 1 Brosten, Tyler R. 1 Budanur, Nazmi Burak 1 Camassa, Roberto 1 Cao, Yanping 1 Chen, Jianchen 1 Chen, Jiangce 1 Chen, Yuh-Wen 1 Chen, Zhaopin 1 Cheng, Peng 1 Chernyavskiĭ, Aleksandr Grigor’evich 1 Childress, Stephen 1 Chini, Gregory P. 1 Cho, Manki 1 Choquet, Catherine 1 Clément, Eric 1 Climent, Éric 1 Cooper, Fred 1 Cortelezzi, Luca 1 Craske, John 1 Crouseilles, Nicolas 1 Cuevas Maraver, Jesús 1 Cvitanović, Predrag 1 Dai, Yichen 1 Dawson, John F. 1 de Graaf, Joost 1 Delmotte, Blaise 1 Dingtao, Peng ...and 182 more Authors
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#### Cited in 65 Serials

 29 Journal of Fluid Mechanics 8 Journal of Optimization Theory and Applications 7 Journal of Inequalities and Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Optimization 5 Physics of Fluids 4 Archive for Rational Mechanics and Analysis 4 Journal of Computational Physics 3 Applicable Analysis 3 Computers & Mathematics with Applications 3 International Journal of Theoretical Physics 3 Journal of Mathematical Physics 3 Journal of Global Optimization 3 Nonlinear Analysis. Real World Applications 3 Journal of Industrial and Management Optimization 3 Journal of Physics A: Mathematical and Theoretical 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Optimization 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Applied Mathematics and Mechanics. (English Edition) 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Journal of Nonlinear Science 2 Computational and Applied Mathematics 2 Mathematical Methods of Operations Research 2 SIAM Journal on Applied Dynamical Systems 2 Optimization Letters 2 Journal of Nonlinear Science and Applications 2 Set-Valued and Variational Analysis 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Fuzzy Sets and Systems 1 International Journal of Game Theory 1 Journal of Functional Analysis 1 SIAM Journal on Control and Optimization 1 Asia-Pacific Journal of Operational Research 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Applied Mathematics. Series B (English Edition) 1 Discrete and Continuous Dynamical Systems 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Positivity 1 European Journal of Mechanics. B. Fluids 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Thai Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Fixed Point Theory and Applications 1 Acta Mechanica Sinica 1 Advances in Decision Sciences 1 Journal of Function Spaces 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Pure and Applied Analysis
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#### Cited in 30 Fields

 62 Fluid mechanics (76-XX) 51 Operations research, mathematical programming (90-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 30 Partial differential equations (35-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Operator theory (47-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Biology and other natural sciences (92-XX) 10 Numerical analysis (65-XX) 9 Quantum theory (81-XX) 6 Ordinary differential equations (34-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 General topology (54-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Systems theory; control (93-XX)