姓名:张雄韬 |
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职称:Associate professor |
性别:male |
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邮件:Zhangxiongtao1987@gmail.com |
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基本信息: Kinectic dynamics,Hyperbolic partial differential equations, collective dynamics of complex systems, particle dynamics and mean-field theory. |
教育背景: • Boundary effects and surface wave in hyperbolic systems. • Asymptotic behaviors on the dynamical systems describing emergent phenomena, which arises from the engineering , physical and biological applications (e.g. Kuramoto model, Winfree model, Cucker-Smale model, etc.). • Derivability of kinetic equation from particle system with or without noise: uniform mean-field limit and uniform stability of particle system and correspondingasymptotical behavior of measure valued solution. • Well-posedness of the solutions to kinetic equations and kinetic-fluid coupled system: Vlasov-type equation (e.g. Kinetic Cucker-Smale model, Kinetic Kuramotomodel, Kinetic Winfree model, etc.), Vlasov-Fokker-Planck equation (e.g. Kinetic Cucker-Smale model with diffusion).
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工作经历: • B.S. Mathematics, Wuhan University, July 2009. • Ph.D. Mathematics, National University of Singapore, July 2014. – Thesis Title: On Rayleigh wave and Lamb’s problem – Thesis Advisor : Prof. Shih-Hsien Yu.
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研究领域: Hyperbolic partial differential equations, collective dynamics of complex systems, particle dynamics, mean-field theory and kinetic equations. |
科研成果: • Emergent dynamics in the interactions of Cucker-Smale ensembles (with S.-Y. Ha, D. Ko and Y. Zhang). To appear in Kinetic and Related Models. • Collective synchronization of classical and quantum oscillators (with S.-Y. Ha, D. Ko and J. Park). EMS Surv. Math. Sci. 3 (2016), no. 2, 209–267. • Emergent Dynamics of Cucker-Smale flocking particles in a random environment(with S.-Y. Ha, S. E. Noh, J. Jeong, Q. Xiao).J. Differential Equations 262 (2017), no. 3, 2554–2591. • Time-asymptotic interactions of two ensembles of Cucker-Smale flocking particles (with S.-Y. Ha, D. Ko and Y. Zhang). submitted. • Uniform stability of the Cucker-Smale model and its applicaiton to the mean-field limit (with S.-Y. Ha and J. Kim). submitted. • Emergent dynamics of Cucker–Smale particles under the effects of random communication and incompressible fluids (with S.-Y. Ha and Q. Xiao) submitted • A global well-posedness of the kinetic Cucker-Smale flocking model with chemotactic movements (with C. Chen and S.-Y. Ha). submitted. • Boundary effect in Lamb’s problem (with H. Wang and S. Yu). preprint. • On the global well-posedness for the kinetic Winfree model in a large coupling strength regime (with D. Amadori, S.-Y Ha and J. Park). preprint. • Uniform stability of Temperature Cucker Smale Model (with S.-Y. Ha, J. Kim, C. Min and T. Ruggeri). preprint. • Relation between first and second order system and its applications (with S.-Y. Ha and J. Park). preprint. • Flocking emergence of hydrodynamic Cucker-Smale model near vacuum (with S.- Y. Ha). preprint. • Asymptotic alignment of particle and kinetic models with attractive-repulsive couplings (with S.-Y. Ha, K.-K. Kang, and J. Park). Preprint. |
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