## Wang, Zhian

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 Author ID: wang.zhian Published as: Wang, Zhi-An; Wang, Zhian; Wang, Zhi-an; Wang, Zhi An more...less
 Documents Indexed: 135 Publications since 1991 Co-Authors: 64 Co-Authors with 78 Joint Publications 3,002 Co-Co-Authors
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### Co-Authors

 12 single-authored 12 Jin, Hai-Yang 8 Peng, Hongyun 7 Li, Tong 7 Zhao, Kun 5 Zhu, Changjiang 4 Hillen, Thomas 4 Hou, Qianqian 4 Li, Jingyu 4 Ma, Manjun 3 Barthès-Biesel, Dominique 3 Ding, Jiu 3 Salsac, Anne-Virginie 3 Sui, Yi 3 Wang, Dehua 3 Wang, Wenquan 2 Bursi, Oreste S. 2 Carrillo de la Plata, José Antonio 2 Dai, Ho-Kwok 2 Ding, Wei 2 Hong, GuangYi 2 Jiang, Mina 2 Khoo, Boo Cheong 2 Lim, Mong King 2 Lin, Rongming 2 Lin, Taichia 2 Liu, QingQing 2 Norris, Andrew N. 2 Peng, Rui 2 Richards, Bryan E. 2 Tao, Youshan 2 Winkler, Michael 2 Wrzosek, Dariusz M. 2 Wu, Leyun 2 Yang, Wen 2 Yeo, Khoon Seng 1 Ai, Shangbin 1 Ai, Shangbing 1 Al-Labadi, Luai 1 Asgeirsson, Eyjolfur Ingi 1 Avanzi, Roberto Maria 1 Ayesta, Urtzi 1 Bankoff, S. George 1 Bonelli, Alessio 1 Brazhnikova, L. V. 1 Cai, Yongli 1 Camillo, Victor P. 1 Cao, Qian 1 Chen, Xinfu 1 Choi, Yung-Sze 1 Chumlyakov, Yuriy I. 1 Coffman, Edward Grady jun. 1 Efimenko, S. P. 1 Etra, J. 1 Fairchild, S. B. 1 Gellmann, Roman 1 Goldsmith, Peter B. 1 Guo, Wenbin 1 Guo, Zhenhua 1 Hinow, Peter 1 Hu, Fei 1 Huang, Wenzhang 1 Ji, Shanming 1 Kim, Yong Jung 1 Kireeva, I. V. 1 Kocamustafaogullari, Gunol 1 Lee, Chiun-Chang 1 Li, Huicong 1 Lin, Tao 1 Lin, Yanping 1 Liu, Cheng-Jie 1 Liu, Jia 1 Liu, Ping 1 Lui, Roger 1 Lupo, J. A. 1 Lyu, Wenbin 1 Martinez, Vincent R. 1 McNail, D. 1 Mei, Ming 1 Momčilović, Petar 1 Mortensen, Richard E. 1 Nicholson, W. Keith 1 Ou, Chunhua 1 Pachter, Ruth 1 Panchenko, E. Yu. 1 Perthame, Benoît 1 Phillips, David J. 1 Ramakrishnan, Viswanathan 1 Rebholz, Leo G. 1 Ricoeur, Andreas 1 Rizos, Dimitris C. 1 Sabelli, Hector C. 1 Safonova, Inna N. 1 Sang, Hong 1 Sennett, B. 1 Shi, Junping 1 Shi, Shijie 1 Shu, Chang 1 Skiba, Alexander Nikolaevich 1 Sun, Weiwei 1 Surikova, N. S. ...and 19 more Co-Authors
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### Serials

 14 Journal of Differential Equations 8 Discrete and Continuous Dynamical Systems. Series B 6 SIAM Journal on Applied Mathematics 4 Journal of Fluid Mechanics 4 Mathematical Methods in the Applied Sciences 4 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Mathematical Analysis 2 Acta Mechanica 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Multiphase Flow 2 Journal of Mathematical Biology 2 Journal of Sound and Vibration 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Indiana University Mathematics Journal 2 Journal of Central China Normal University. Natural Sciences 2 European Journal of Mechanics. B. Fluids 2 Communications in Mathematical Sciences 2 Analysis and Applications (Singapore) 2 Kinetic and Related Models 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Computers and Fluids 1 Discrete Mathematics 1 IMA Journal of Applied Mathematics 1 International Journal of Engineering Science 1 Journal of Applied Mechanics 1 Journal of Computational Physics 1 Mathematical Biosciences 1 Mathematical Notes 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Acta Cybernetica 1 Applied Mathematics and Computation 1 BIT 1 Computing 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of the London Mathematical Society. Second Series 1 Mechanics Research Communications 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Physica D 1 Optimization 1 Revista Matemática Iberoamericana 1 Computational Mechanics 1 Applied Mathematics Letters 1 Annals of Operations Research 1 Communications in Partial Differential Equations 1 Communications in Statistics. Simulation and Computation 1 Communications in Statistics. Theory and Methods 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Doklady Akademii Nauk 1 Calculus of Variations and Partial Differential Equations 1 Engineering Analysis with Boundary Elements 1 Abstract and Applied Analysis 1 Chaos 1 Acta Mathematica Scientia. Series B. (English Edition) 1 International Journal of Computational and Numerical Analysis and Applications (IJCNAA) 1 International Journal of Pure and Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of Algebra and its Applications 1 Control and Intelligent Systems 1 International Journal of Fracture 1 Mathematical Biosciences and Engineering 1 Journal of Biological Dynamics 1 Journal of Mathematical Cryptology 1 Mathematical Modelling of Natural Phenomena 1 Science China. Mathematics 1 Electronic Research Archive
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### Fields

 87 Partial differential equations (35-XX) 74 Biology and other natural sciences (92-XX) 15 Fluid mechanics (76-XX) 13 Mechanics of deformable solids (74-XX) 12 Numerical analysis (65-XX) 6 Statistics (62-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX)

### Citations contained in zbMATH Open

99 Publications have been cited 1,661 times in 626 Documents Cited by Year
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
2013
Global stability of prey-taxis systems. Zbl 1364.35143
Jin, Hai-Yang; Wang, Zhi-An
2017
Mathematics of traveling waves in chemotaxis. Zbl 1277.35006
Wang, Zhi-An
2013
Nonlinear stability of traveling waves to a hyperbolic-parabolic system modeling chemotaxis. Zbl 1206.35041
Li, Tong; Wang, Zhi-An
2009
Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383
Wang, Zhian; Hillen, Thomas
2007
Boundedness, blowup and critical mass phenomenon in competing chemotaxis. Zbl 1323.35001
Jin, Hai-Yang; Wang, Zhi-An
2016
Pattern formation of the attraction-repulsion Keller-Segel system. Zbl 1277.35048
Liu, Ping; Shi, Junping; Wang, Zhi-An
2013
Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis. Zbl 1213.35109
Li, Tong; Wang, Zhi-An
2011
Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis. Zbl 1332.35369
Wang, Zhi-An; Xiang, Zhaoyin; Yu, Pei
2016
Boundedness, stabilization, and pattern formation driven by density-suppressed motility. Zbl 1393.35100
Jin, Hai-Yang; Kim, Yong-Jung; Wang, Zhi-An
2018
Nonlinear stability of large amplitude viscous shock waves of a generalized hyperbolic – parabolic system arising in chemotaxis. Zbl 1213.35081
Li, Tong; Wang, Zhi-An
2010
Shock formation in a chemotaxis model. Zbl 1147.35057
Wang, Zhian; Hillen, Thomas
2008
Asymptotic dynamics of the one-dimensional attraction-repulsion Keller-Segel model. Zbl 1310.35005
Jin, Hai-Yang; Wang, Zhi-An
2015
Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity. Zbl 1293.35071
Jin, Hai-Yang; Li, Jingyu; Wang, Zhi-An
2013
On a diffusive susceptible-infected-susceptible epidemic model with mass action mechanism and birth-death effect: analysis, simulations, and comparison with other mechanisms. Zbl 1393.35102
Li, Huicong; Peng, Rui; Wang, Zhi-an
2018
Stability of traveling waves of the Keller-Segel system with logarithmic sensitivity. Zbl 1311.35021
Li, Jingyu; Li, Tong; Wang, Zhi-An
2014
Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension. Zbl 1272.35040
Tao, Youshan; Wang, Lihe; Wang, Zhi-An
2013
Steadily propagating waves of a chemotaxis model. Zbl 1316.92013
Li, Tong; Wang, Zhi-An
2012
Stationary solutions of a volume-filling chemotaxis model with logistic growth and their stability. Zbl 1259.35031
Ma, Manjun; Ou, Chunhua; Wang, Zhi-An
2012
Prevention of blow-up by fast diffusion in chemotaxis. Zbl 1186.35100
Choi, Yung-Sze; Wang, Zhi-An
2010
Traveling wave solutions from microscopic to macroscopic chemotaxis models. Zbl 1205.92007
Lui, Roger; Wang, Zhi An
2010
Global regularity versus infinite-time singularity formation in a chemotaxis model with volume-filling effect and degenerate diffusion. Zbl 1277.35223
Wang, Zhi-An; Winkler, Michael; Wrzosek, Dariusz
2012
Love waves propagation in a piezoelectric layered structure with initial stresses. Zbl 1062.74022
Qian, Z.; Jin, F.; Wang, Z.; Kishimoto, K.
2004
Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model. Zbl 1270.35117
Wang, Zhi-An; Zhao, Kun
2013
Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology. Zbl 1402.35286
Martinez, Vincent R.; Wang, Zhian; Zhao, Kun
2018
Critical mass on the Keller-Segel system with signal-dependent motility. Zbl 1448.35516
Jin, Hai-Yang; Wang, Zhi-An
2020
Global bifurcation and stability of steady states for a reaction-diffusion-chemotaxis model with volume-filling effect. Zbl 1331.35185
Ma, Manjun; Wang, Zhi-An
2015
Boundary layer problem on a hyperbolic system arising from chemotaxis. Zbl 1347.35021
Hou, Qianqian; Wang, Zhi-An; Zhao, Kun
2016
Singularity formation in chemotaxis systems with volume-filling effect. Zbl 1255.35213
Wang, Zhi-An; Winkler, Michael; Wrzosek, Dariusz
2011
Stability of the rarefaction wave for the generalized KdV-Burgers equation. Zbl 1003.35111
Wang, Zhian; Zhu, Changjiang
2002
Stability of boundary layers for a viscous hyperbolic system arising from chemotaxis: one-dimensional case. Zbl 1394.35025
Hou, Qianqian; Liu, Cheng-Jie; Wang, Ya-Guang; Wang, Zhian
2018
Classical solutions and steady states of an attraction-repulsion chemotaxis in one dimension. Zbl 1452.92010
Liu, Jia; Wang, Zhi-An
2012
Mathematical analysis of a kinetic model for cell movement in network tissues. Zbl 1205.35165
Hillen, Thomas; Hinow, Peter; Wang, Zhi-An
2010
On chemotaxis models with cell population interactions. Zbl 1197.35140
Wang, Z. A.
2010
Immersed finite element methods for 4th order differential equations. Zbl 1219.65135
Lin, T.; Lin, Y.; Sun, W.-W.; Wang, Z.
2011
Global stabilization of the full attraction-repulsion Keller-Segel system. Zbl 1439.35063
Jin, Hai-Yang; Wang, Zhi-An
2020
Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane. Zbl 1428.35022
Hou, Qianqian; Wang, Zhian
2019
Coupled BEM-FEM solutions for direct time domain soil-structure interaction analysis. Zbl 1130.74472
Rizos, D. C.; Wang, Z.
2002
Decay rates of solutions to dissipative nonlinear evolution equations with ellipticity. Zbl 1062.35025
Zhu, Chabjiang; Wang, Zhian
2004
Asymptotic profile of a parabolic-hyperbolic system with boundary effect arising from tumor angiogenesis. Zbl 1326.35069
Mei, Ming; Peng, Hongyun; Wang, Zhi-An
2015
Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility. Zbl 1441.35142
Jin, Hai-Yang; Shi, Shijie; Wang, Zhi-An
2020
Left quasi-morphic rings. Zbl 1170.16017
Camillo, V.; Nicholson, W. K.; Wang, Z.
2008
Stationary and non-stationary patterns of the density-suppressed motility model. Zbl 1453.37086
Ma, Manjun; Peng, Rui; Wang, Zhian
2020
Initial boundary value problems for a system of parabolic conservation laws arising from chemotaxis in multi-dimensions. Zbl 07069017
Rebholz, Leo G.; Wang, Dehua; Wang, Zhian; Zerfas, Camille; Zhao, Kun
2019
Bending-wave diffraction from strips and cracks on thin plates. Zbl 0820.73017
Norris, A. N.; Wang, Z.
1994
High resolution schemes for steady flow computation. Zbl 0738.76055
Wang, Z.; Richards, B. E.
1991
Wavefront of an angiogenesis model. Zbl 1255.35076
Wang, Zhi-An
2012
Traveling bands for the Keller-Segel model with population growth. Zbl 1330.35461
Ai, Shangbing; Wang, Zhian
2015
The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056
Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian
2020
Reaction, diffusion and chemotaxis in wave propagation. Zbl 1304.35179
Ai, Shangbin; Huang, Wenzhang; Wang, Zhi-An
2015
Phase transitions and bump solutions of the Keller-Segel model with volume exclusion. Zbl 1475.35036
Carrillo, Jose A.; Chen, Xinfu; Wang, Qi; Wang, Zhian; Zhang, Lu
2020
Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: Interplay of field arithmetic and explicit formulæ. Zbl 1146.14032
Avanzi, R.; Thériault, N.; Wang, Z.
2008
Stability and dynamics of two-dimensional fully nonlinear gravity-capillary solitary waves in deep water. Zbl 1383.76064
Wang, Z.
2016
Global existence and asymptotic behavior of the Boussinesq-Burgers system. Zbl 1307.35044
Ding, Wei; Wang, Zhi-An
2015
Boundary layers and stabilization of the singular Keller-Segel system. Zbl 1405.92033
Peng, Hongyun; Wang, Zhi-An; Zhao, Kun; Zhu, Changjiang
2018
Nonlinear stability of strong traveling waves for the singular Keller-Segel system with large perturbations. Zbl 1397.35318
Peng, Hongyun; Wang, Zhi-An
2018
Structural damage detection using measured FRF data. Zbl 0919.73186
Wang, Z.; Lin, R. M.; Lim, M. K.
1997
Parallel computation of invariant measures. Zbl 0997.65007
Ding, J.; Wang, Z.
2001
Optimal decay rates to diffusion wave for nonlinear evolution equations with ellipticity. Zbl 1096.35023
Wang, Zhian
2006
Spatial direct numerical simulation of transitional boundary layer over compliant surfaces. Zbl 1134.76329
Wang, Z.; Yeo, K. S.; Khoo, B. C.
2005
Cauchy problem of the magnetohydrodynamic Burgers system. Zbl 1325.35084
Jin, Hai-Yang; Wang, Zhi-An; Xiong, Linjie
2015
On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion. Zbl 1456.35107
Wang, Zhi-An; Xu, Jiao
2021
Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability. Zbl 1464.35013
Carrillo, Jose A.; Li, Jingyu; Wang, Zhi-An
2021
Steady states and pattern formation of the density-suppressed motility model. Zbl 1467.92042
Wang, Zhi-An; Xu, Xin
2021
Mesenchymal motion models in one dimension. Zbl 1183.35196
Wang, Zhi-An; Hillen, Thomas; Li, Michael
2008
Validation and enclosure of solutions of linear complementarity problems. Zbl 1148.90014
Wang, Z.
2007
On two-dimensional linear waves in Blasius boundary layer over viscoelastic layers. Zbl 1079.76031
Wang, Z.; Yeo, K. S.; Khoo, B. C.
2006
On the parabolic-elliptic Keller-Segel system with signal-dependent motilities: a paradigm for global boundedness and steady states. Zbl 1475.35366
Wang, Zhi-An
2021
The Keller-Segel system with logistic growth and signal-dependent motility. Zbl 1466.35038
Jin, Hai-Yang; Wang, Zhi-An
2021
Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass. Zbl 1418.35189
Wang, Jun; Wang, Zhian; Yang, Wen
2019
Closed on-line bin packing. Zbl 1006.68056
Asgeirsson, E.; Ayesta, U.; Coffman, E.; Etra, J.; Momčilović, P.; Phillips, D.; Vokhshoori, V.; Wang, Z.; Wolfe, J.
2002
Basic properties of Rayleigh surface wave propagation along curved surfaces. Zbl 1211.74128
Jin, F.; Wang, Z.; Kishimoto, K.
2005
Patterns in a generalized volume-filling chemotaxis model with cell proliferation. Zbl 1361.35074
Ma, Manjun; Wang, Zhian
2017
Global weak solutions to the Camassa-Holm equation. Zbl 1157.35021
Guo, Zhenhua; Jiang, Mina; Wang, Zhian; Zheng, Gao-Feng
2008
Motion of a spherical capsule in branched tube flow with finite inertia. Zbl 1383.76569
Wang, Z.; Sui, Yi; Salsac, A.-V.; Barthès-Biesel, D.; Wang, W.
2016
Novel partitioned time integration methods for DAE systems based on L-stable linearly implicit algorithms. Zbl 1242.70006
Jia, C.; Bursi, O. S.; Bonelli, A.; Wang, Z.
2011
Path selection of a spherical capsule in a microfluidic branched channel: towards the design of an enrichment device. Zbl 1397.76194
Wang, Z.; Sui, Y.; Salsac, A.-V.; Barthès-Biesel, D.; Wang, W.
2018
Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis. Zbl 1454.35151
Lee, Chiun-Chang; Wang, Zhi-An; Yang, Wen
2020
Asymptotic dynamics and spatial patterns of a ratio-dependent predator-prey system with prey-taxis. Zbl 1484.35046
Cai, Yongli; Cao, Qian; Wang, Zhi-An
2022
On a parabolic-hyperbolic chemotaxis system with discontinuous data: well-posedness, stability and regularity. Zbl 1435.35110
Peng, Hongyun; Wang, Zhian
2020
Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space. Zbl 07179603
Li, Jingyu; Wang, Zhian
2020
Cauchy problem of a system of parabolic conservation laws arising from the singular Keller-Segel model in multi-dimensions. Zbl 1467.35056
Wang, Dehua; Wang, Zhian; Zhao, Kun
2021
Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities. Zbl 1469.35113
Wang, Zhi-An; Zheng, Jiashan
2021
Nonlinear stability of phase transition steady states to a hyperbolic-parabolic system modeling vascular networks. Zbl 1470.35049
Hong, Guangyi; Peng, Hongyun; Wang, Zhi-An; Zhu, Changjiang
2021
Good equidistant codes constructed from certain combinatorial designs. Zbl 1145.94016
Sinha, K.; Wang, Z.; Wu, D.
2008
A practical algorithm for the efficient computation of eigenvector sensitivities. Zbl 0862.73067
Lin, R. M.; Wang, Z.; Lim, M. K.
1996
Development of traveling waves in an interacting two-species chemotaxis model. Zbl 1284.35110
Lin, Tai-Chia; Wang, Zhi-An
2014
Optimal decay rates of solutions to dissipative nonlinear evolution equations with ellipticity. Zbl 1141.35009
Wang, Zhian
2006
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions. Zbl 1476.35288
Hong, Guangyi; Wang, Zhi-An
2021
A dual-gradient chemotaxis system modeling the spontaneous aggregation of microglia in Alzheimer’s disease. Zbl 06868696
Jin, Hai-Yang; Wang, Zhi-An
2018
Path selection of a train of spherical capsules in a branched microchannel. Zbl 07398612
Lu, R. X.; Wang, Z.; Salsac, A.-V.; Barthès-Biesel, D.; Wang, W.; Sui, Y.
2021
Traveling wave solutions to the density-suppressed motility model. Zbl 1473.35092
Li, Jing; Wang, Zhi-An
2021
A parallel algorithm for finding all minimal maximum subsequences via random walk. Zbl 1423.68576
Dai, H. K.; Wang, Z.
2015
Necessary minimum conditions and steepest descent directions in quasi- differential calculus: Independence of the specific forms of quasidifferentials. Zbl 0819.90105
Wang, Z.; Mortensen, R.
1994
Analysis of data from clinical trials with treatment related dropouts. Zbl 1065.62188
Ramakrishnan, V.; Wang, Z.
2005
Monolithic and partitioned time integration methods for real-time heterogeneous simulations. Zbl 1308.65114
Bursi, O. S.; Wang, Z.; Jia, C.; Wu, B.
2013
Large time profile of solutions for a dissipative nonlinear evolution system with conservational form. Zbl 1092.35038
Wang, Zhian
2005
Modified Wynn’s sequential algorithm for constructing D-optimal designs: adding two points at a time. Zbl 1201.62089
2010
Influence of inclined electric fields on the effective fracture toughness of piezoelectric ceramics. Zbl 1323.74031
Ricoeur, A.; Gellmann, R.; Wang, Z.
2015
Asymptotic dynamics and spatial patterns of a ratio-dependent predator-prey system with prey-taxis. Zbl 1484.35046
Cai, Yongli; Cao, Qian; Wang, Zhi-An
2022
On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion. Zbl 1456.35107
Wang, Zhi-An; Xu, Jiao
2021
Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability. Zbl 1464.35013
Carrillo, Jose A.; Li, Jingyu; Wang, Zhi-An
2021
Steady states and pattern formation of the density-suppressed motility model. Zbl 1467.92042
Wang, Zhi-An; Xu, Xin
2021
On the parabolic-elliptic Keller-Segel system with signal-dependent motilities: a paradigm for global boundedness and steady states. Zbl 1475.35366
Wang, Zhi-An
2021
The Keller-Segel system with logistic growth and signal-dependent motility. Zbl 1466.35038
Jin, Hai-Yang; Wang, Zhi-An
2021
Cauchy problem of a system of parabolic conservation laws arising from the singular Keller-Segel model in multi-dimensions. Zbl 1467.35056
Wang, Dehua; Wang, Zhian; Zhao, Kun
2021
Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities. Zbl 1469.35113
Wang, Zhi-An; Zheng, Jiashan
2021
Nonlinear stability of phase transition steady states to a hyperbolic-parabolic system modeling vascular networks. Zbl 1470.35049
Hong, Guangyi; Peng, Hongyun; Wang, Zhi-An; Zhu, Changjiang
2021
Asymptotic stability of exogenous chemotaxis systems with physical boundary conditions. Zbl 1476.35288
Hong, Guangyi; Wang, Zhi-An
2021
Path selection of a train of spherical capsules in a branched microchannel. Zbl 07398612
Lu, R. X.; Wang, Z.; Salsac, A.-V.; Barthès-Biesel, D.; Wang, W.; Sui, Y.
2021
Traveling wave solutions to the density-suppressed motility model. Zbl 1473.35092
Li, Jing; Wang, Zhi-An
2021
Critical mass on the Keller-Segel system with signal-dependent motility. Zbl 1448.35516
Jin, Hai-Yang; Wang, Zhi-An
2020
Global stabilization of the full attraction-repulsion Keller-Segel system. Zbl 1439.35063
Jin, Hai-Yang; Wang, Zhi-An
2020
Boundedness and asymptotics of a reaction-diffusion system with density-dependent motility. Zbl 1441.35142
Jin, Hai-Yang; Shi, Shijie; Wang, Zhi-An
2020
Stationary and non-stationary patterns of the density-suppressed motility model. Zbl 1453.37086
Ma, Manjun; Peng, Rui; Wang, Zhian
2020
The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056
Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian
2020
Phase transitions and bump solutions of the Keller-Segel model with volume exclusion. Zbl 1475.35036
Carrillo, Jose A.; Chen, Xinfu; Wang, Qi; Wang, Zhian; Zhang, Lu
2020
Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis. Zbl 1454.35151
Lee, Chiun-Chang; Wang, Zhi-An; Yang, Wen
2020
On a parabolic-hyperbolic chemotaxis system with discontinuous data: well-posedness, stability and regularity. Zbl 1435.35110
Peng, Hongyun; Wang, Zhian
2020
Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space. Zbl 07179603
Li, Jingyu; Wang, Zhian
2020
Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane. Zbl 1428.35022
Hou, Qianqian; Wang, Zhian
2019
Initial boundary value problems for a system of parabolic conservation laws arising from chemotaxis in multi-dimensions. Zbl 07069017
Rebholz, Leo G.; Wang, Dehua; Wang, Zhian; Zerfas, Camille; Zhao, Kun
2019
Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass. Zbl 1418.35189
Wang, Jun; Wang, Zhian; Yang, Wen
2019
Boundedness, stabilization, and pattern formation driven by density-suppressed motility. Zbl 1393.35100
Jin, Hai-Yang; Kim, Yong-Jung; Wang, Zhi-An
2018
On a diffusive susceptible-infected-susceptible epidemic model with mass action mechanism and birth-death effect: analysis, simulations, and comparison with other mechanisms. Zbl 1393.35102
Li, Huicong; Peng, Rui; Wang, Zhi-an
2018
Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology. Zbl 1402.35286
Martinez, Vincent R.; Wang, Zhian; Zhao, Kun
2018
Stability of boundary layers for a viscous hyperbolic system arising from chemotaxis: one-dimensional case. Zbl 1394.35025
Hou, Qianqian; Liu, Cheng-Jie; Wang, Ya-Guang; Wang, Zhian
2018
Boundary layers and stabilization of the singular Keller-Segel system. Zbl 1405.92033
Peng, Hongyun; Wang, Zhi-An; Zhao, Kun; Zhu, Changjiang
2018
Nonlinear stability of strong traveling waves for the singular Keller-Segel system with large perturbations. Zbl 1397.35318
Peng, Hongyun; Wang, Zhi-An
2018
Path selection of a spherical capsule in a microfluidic branched channel: towards the design of an enrichment device. Zbl 1397.76194
Wang, Z.; Sui, Y.; Salsac, A.-V.; Barthès-Biesel, D.; Wang, W.
2018
A dual-gradient chemotaxis system modeling the spontaneous aggregation of microglia in Alzheimer’s disease. Zbl 06868696
Jin, Hai-Yang; Wang, Zhi-An
2018
Global stability of prey-taxis systems. Zbl 1364.35143
Jin, Hai-Yang; Wang, Zhi-An
2017
Patterns in a generalized volume-filling chemotaxis model with cell proliferation. Zbl 1361.35074
Ma, Manjun; Wang, Zhian
2017
Boundedness, blowup and critical mass phenomenon in competing chemotaxis. Zbl 1323.35001
Jin, Hai-Yang; Wang, Zhi-An
2016
Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis. Zbl 1332.35369
Wang, Zhi-An; Xiang, Zhaoyin; Yu, Pei
2016
Boundary layer problem on a hyperbolic system arising from chemotaxis. Zbl 1347.35021
Hou, Qianqian; Wang, Zhi-An; Zhao, Kun
2016
Stability and dynamics of two-dimensional fully nonlinear gravity-capillary solitary waves in deep water. Zbl 1383.76064
Wang, Z.
2016
Motion of a spherical capsule in branched tube flow with finite inertia. Zbl 1383.76569
Wang, Z.; Sui, Yi; Salsac, A.-V.; Barthès-Biesel, D.; Wang, W.
2016
Asymptotic dynamics of the one-dimensional attraction-repulsion Keller-Segel model. Zbl 1310.35005
Jin, Hai-Yang; Wang, Zhi-An
2015
Global bifurcation and stability of steady states for a reaction-diffusion-chemotaxis model with volume-filling effect. Zbl 1331.35185
Ma, Manjun; Wang, Zhi-An
2015
Asymptotic profile of a parabolic-hyperbolic system with boundary effect arising from tumor angiogenesis. Zbl 1326.35069
Mei, Ming; Peng, Hongyun; Wang, Zhi-An
2015
Traveling bands for the Keller-Segel model with population growth. Zbl 1330.35461
Ai, Shangbing; Wang, Zhian
2015
Reaction, diffusion and chemotaxis in wave propagation. Zbl 1304.35179
Ai, Shangbin; Huang, Wenzhang; Wang, Zhi-An
2015
Global existence and asymptotic behavior of the Boussinesq-Burgers system. Zbl 1307.35044
Ding, Wei; Wang, Zhi-An
2015
Cauchy problem of the magnetohydrodynamic Burgers system. Zbl 1325.35084
Jin, Hai-Yang; Wang, Zhi-An; Xiong, Linjie
2015
A parallel algorithm for finding all minimal maximum subsequences via random walk. Zbl 1423.68576
Dai, H. K.; Wang, Z.
2015
Influence of inclined electric fields on the effective fracture toughness of piezoelectric ceramics. Zbl 1323.74031
Ricoeur, A.; Gellmann, R.; Wang, Z.
2015
Stability of traveling waves of the Keller-Segel system with logarithmic sensitivity. Zbl 1311.35021
Li, Jingyu; Li, Tong; Wang, Zhi-An
2014
Development of traveling waves in an interacting two-species chemotaxis model. Zbl 1284.35110
Lin, Tai-Chia; Wang, Zhi-An
2014
Competing effects of attraction vs. repulsion in chemotaxis. Zbl 1403.35136
Tao, Youshan; Wang, Zhi-An
2013
Mathematics of traveling waves in chemotaxis. Zbl 1277.35006
Wang, Zhi-An
2013
Pattern formation of the attraction-repulsion Keller-Segel system. Zbl 1277.35048
Liu, Ping; Shi, Junping; Wang, Zhi-An
2013
Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity. Zbl 1293.35071
Jin, Hai-Yang; Li, Jingyu; Wang, Zhi-An
2013
Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension. Zbl 1272.35040
Tao, Youshan; Wang, Lihe; Wang, Zhi-An
2013
Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model. Zbl 1270.35117
Wang, Zhi-An; Zhao, Kun
2013
Monolithic and partitioned time integration methods for real-time heterogeneous simulations. Zbl 1308.65114
Bursi, O. S.; Wang, Z.; Jia, C.; Wu, B.
2013
Steadily propagating waves of a chemotaxis model. Zbl 1316.92013
Li, Tong; Wang, Zhi-An
2012
Stationary solutions of a volume-filling chemotaxis model with logistic growth and their stability. Zbl 1259.35031
Ma, Manjun; Ou, Chunhua; Wang, Zhi-An
2012
Global regularity versus infinite-time singularity formation in a chemotaxis model with volume-filling effect and degenerate diffusion. Zbl 1277.35223
Wang, Zhi-An; Winkler, Michael; Wrzosek, Dariusz
2012
Classical solutions and steady states of an attraction-repulsion chemotaxis in one dimension. Zbl 1452.92010
Liu, Jia; Wang, Zhi-An
2012
Wavefront of an angiogenesis model. Zbl 1255.35076
Wang, Zhi-An
2012
Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis. Zbl 1213.35109
Li, Tong; Wang, Zhi-An
2011
Singularity formation in chemotaxis systems with volume-filling effect. Zbl 1255.35213
Wang, Zhi-An; Winkler, Michael; Wrzosek, Dariusz
2011
Immersed finite element methods for 4th order differential equations. Zbl 1219.65135
Lin, T.; Lin, Y.; Sun, W.-W.; Wang, Z.
2011
Novel partitioned time integration methods for DAE systems based on L-stable linearly implicit algorithms. Zbl 1242.70006
Jia, C.; Bursi, O. S.; Bonelli, A.; Wang, Z.
2011
Nonlinear stability of large amplitude viscous shock waves of a generalized hyperbolic – parabolic system arising in chemotaxis. Zbl 1213.35081
Li, Tong; Wang, Zhi-An
2010
Prevention of blow-up by fast diffusion in chemotaxis. Zbl 1186.35100
Choi, Yung-Sze; Wang, Zhi-An
2010
Traveling wave solutions from microscopic to macroscopic chemotaxis models. Zbl 1205.92007
Lui, Roger; Wang, Zhi An
2010
Mathematical analysis of a kinetic model for cell movement in network tissues. Zbl 1205.35165
Hillen, Thomas; Hinow, Peter; Wang, Zhi-An
2010
On chemotaxis models with cell population interactions. Zbl 1197.35140
Wang, Z. A.
2010
Modified Wynn’s sequential algorithm for constructing D-optimal designs: adding two points at a time. Zbl 1201.62089
2010
Nonlinear stability of traveling waves to a hyperbolic-parabolic system modeling chemotaxis. Zbl 1206.35041
Li, Tong; Wang, Zhi-An
2009
Shock formation in a chemotaxis model. Zbl 1147.35057
Wang, Zhian; Hillen, Thomas
2008
Left quasi-morphic rings. Zbl 1170.16017
Camillo, V.; Nicholson, W. K.; Wang, Z.
2008
Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: Interplay of field arithmetic and explicit formulæ. Zbl 1146.14032
Avanzi, R.; Thériault, N.; Wang, Z.
2008
Mesenchymal motion models in one dimension. Zbl 1183.35196
Wang, Zhi-An; Hillen, Thomas; Li, Michael
2008
Global weak solutions to the Camassa-Holm equation. Zbl 1157.35021
Guo, Zhenhua; Jiang, Mina; Wang, Zhian; Zheng, Gao-Feng
2008
Good equidistant codes constructed from certain combinatorial designs. Zbl 1145.94016
Sinha, K.; Wang, Z.; Wu, D.
2008
Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383
Wang, Zhian; Hillen, Thomas
2007
Validation and enclosure of solutions of linear complementarity problems. Zbl 1148.90014
Wang, Z.
2007
Optimal decay rates to diffusion wave for nonlinear evolution equations with ellipticity. Zbl 1096.35023
Wang, Zhian
2006
On two-dimensional linear waves in Blasius boundary layer over viscoelastic layers. Zbl 1079.76031
Wang, Z.; Yeo, K. S.; Khoo, B. C.
2006
Optimal decay rates of solutions to dissipative nonlinear evolution equations with ellipticity. Zbl 1141.35009
Wang, Zhian
2006
Spatial direct numerical simulation of transitional boundary layer over compliant surfaces. Zbl 1134.76329
Wang, Z.; Yeo, K. S.; Khoo, B. C.
2005
Basic properties of Rayleigh surface wave propagation along curved surfaces. Zbl 1211.74128
Jin, F.; Wang, Z.; Kishimoto, K.
2005
Analysis of data from clinical trials with treatment related dropouts. Zbl 1065.62188
Ramakrishnan, V.; Wang, Z.
2005
Large time profile of solutions for a dissipative nonlinear evolution system with conservational form. Zbl 1092.35038
Wang, Zhian
2005
Love waves propagation in a piezoelectric layered structure with initial stresses. Zbl 1062.74022
Qian, Z.; Jin, F.; Wang, Z.; Kishimoto, K.
2004
Decay rates of solutions to dissipative nonlinear evolution equations with ellipticity. Zbl 1062.35025
Zhu, Chabjiang; Wang, Zhian
2004
Stability of the rarefaction wave for the generalized KdV-Burgers equation. Zbl 1003.35111
Wang, Zhian; Zhu, Changjiang
2002
Coupled BEM-FEM solutions for direct time domain soil-structure interaction analysis. Zbl 1130.74472
Rizos, D. C.; Wang, Z.
2002
Closed on-line bin packing. Zbl 1006.68056
Asgeirsson, E.; Ayesta, U.; Coffman, E.; Etra, J.; Momčilović, P.; Phillips, D.; Vokhshoori, V.; Wang, Z.; Wolfe, J.
2002
Parallel computation of invariant measures. Zbl 0997.65007
Ding, J.; Wang, Z.
2001
Structural damage detection using measured FRF data. Zbl 0919.73186
Wang, Z.; Lin, R. M.; Lim, M. K.
1997
A practical algorithm for the efficient computation of eigenvector sensitivities. Zbl 0862.73067
Lin, R. M.; Wang, Z.; Lim, M. K.
1996
Bending-wave diffraction from strips and cracks on thin plates. Zbl 0820.73017
Norris, A. N.; Wang, Z.
1994
Necessary minimum conditions and steepest descent directions in quasi- differential calculus: Independence of the specific forms of quasidifferentials. Zbl 0819.90105
Wang, Z.; Mortensen, R.
1994
High resolution schemes for steady flow computation. Zbl 0738.76055
Wang, Z.; Richards, B. E.
1991
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### Cited by 642 Authors

 49 Wang, Zhian 37 Mu, Chunlai 23 Wang, Liangchen 21 Zheng, Pan 20 Jin, Hai-Yang 17 Winkler, Michael 16 Zhao, Kun 15 Lin, Ke 14 Liu, Zhengrong 12 Hu, Xuegang 12 Ma, Manjun 12 Tao, Youshan 12 Xiang, Tian 12 Zheng, Jiashan 11 Li, Tong 10 Cui, Renhao 10 Peng, Hongyun 10 Ren, Guoqiang 9 Guo, Shangjiang 9 Hillen, Thomas 9 Xiang, Zhaoyin 9 Zhu, Changjiang 8 Lei, Chengxia 8 Yokota, Tomomi 8 Zhao, Jie 7 Fu, Shengmao 7 Jiang, Jie 7 Painter, Kevin J. 7 Shen, Wenxian 7 Wang, Yilong 6 Chiyo, Yutaro 6 Kim, Yong Jung 6 Lankeit, Johannes 6 Li, Xie 6 Pan, Xu 6 Salako, Rachidi Bolaji 6 Shi, Junping 6 Tao, Jicheng 6 Viglialoro, Giuseppe 6 Wu, Sainan 6 Zheng, Sining 6 Zhu, Neng 5 Ahn, Inkyung 5 Han, Yazhou 5 Hou, Qianqian 5 Li, Dan 5 Li, Jingyu 5 Li, Zhongping 5 Lv, Wenbin 5 Ruan, Lizhi 5 Shi, Shijie 5 Wang, Jianping 5 Wang, Jinfeng 5 Wang, Yifu 5 Yoon, Changwook 4 Belopol’skaya, Yana Isaevna 4 Cai, Yongli 4 Choi, Kyudong 4 Choi, Sun-Ho 4 Choi, Wonhyung 4 Dai, Binxiang 4 Fujie, Kentarou 4 Li, Huicong 4 Mei, Ming 4 Nagai, Toshitaka 4 Peng, Rui 4 Surulescu, Christina 4 Wrzosek, Dariusz M. 4 Xu, Jiao 4 Xue, Chuan 4 Yamada, Tetsuya 4 Yin, Jingxue 4 Zeng, Yanni 4 Zhang, Kaijun 4 Zhang, Lu 4 Zhang, Zhiyong 3 Bell, Jonathan 3 Bellomo, Nicola 3 Carrillo de la Plata, José Antonio 3 Chae, Myeongju 3 Chen, Meijun 3 Cruz-García, Salvador 3 Dai, Feng 3 Duan, Ran 3 Erban, Radek 3 Frassu, Silvia 3 Fujie, Kentaro 3 Gao, Meiyan 3 Govinder, Keshlan Sathasiva 3 Granero Belinchón, Rafael 3 Haskell, Evan C. 3 Hwang, Hyung Ju 3 Ji, Shanming 3 Li, Genglin 3 Li, Jing 3 Liu, Aichao 3 Liu, Zuhan 3 Perthame, Benoît 3 Peurichard, Diane 3 Qiu, Shuyan ...and 542 more Authors
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### Cited in 116 Serials

 67 Journal of Differential Equations 64 Journal of Mathematical Analysis and Applications 41 Nonlinear Analysis. Real World Applications 40 Discrete and Continuous Dynamical Systems. Series B 30 ZAMP. Zeitschrift für angewandte Mathematik und Physik 25 Discrete and Continuous Dynamical Systems 22 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 Applied Mathematics Letters 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Applicable Analysis 13 Journal of Mathematical Biology 12 Acta Applicandae Mathematicae 11 Computers & Mathematics with Applications 11 Mathematical Methods in the Applied Sciences 11 Bulletin of Mathematical Biology 10 Communications on Pure and Applied Analysis 9 Journal of Mathematical Physics 9 Nonlinearity 8 Mathematical Biosciences and Engineering 7 SIAM Journal on Mathematical Analysis 6 Physica D 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Boundary Value Problems 6 Kinetic and Related Models 5 Applied Mathematics and Computation 5 Journal of Dynamics and Differential Equations 5 Calculus of Variations and Partial Differential Equations 4 Discrete Dynamics in Nature and Society 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Theoretical Biology 3 Indiana University Mathematics Journal 3 Applied Mathematical Modelling 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Applied Mathematics 3 Multiscale Modeling & Simulation 3 International Journal of Biomathematics 3 Science China. Mathematics 3 Electronic Research Archive 2 Mathematical Biosciences 2 Applied Mathematics and Optimization 2 Mathematics and Computers in Simulation 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 European Journal of Applied Mathematics 2 Applied Mathematics. Series B (English Edition) 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Abstract and Applied Analysis 2 Journal of Mathematical Fluid Mechanics 2 Acta Mathematica Sinica. English Series 2 Journal of Evolution Equations 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 SIAM Journal on Applied Dynamical Systems 2 Analysis and Applications (Singapore) 2 Advances in Difference Equations 2 Journal of Biological Dynamics 2 East Asian Journal on Applied Mathematics 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Physica A 1 Theory of Probability and its Applications 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Functional Analysis 1 Le Matematiche 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Tokyo Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Russian Journal of Mathematical Physics 1 Statistical Papers 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Biological Systems 1 Qualitative Theory of Dynamical Systems 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Applied Mathematics and Computing 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Journal of Hyperbolic Differential Equations ...and 16 more Serials
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### Cited in 24 Fields

 595 Partial differential equations (35-XX) 517 Biology and other natural sciences (92-XX) 24 Fluid mechanics (76-XX) 22 Ordinary differential equations (34-XX) 19 Dynamical systems and ergodic theory (37-XX) 15 Numerical analysis (65-XX) 10 Probability theory and stochastic processes (60-XX) 9 Operator theory (47-XX) 6 Functional analysis (46-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Integral equations (45-XX) 4 Statistics (62-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)