师资队伍

基本信息

姓名:尚培培

部门:微分方程

职称:副教授

E-mail:shang@tongji.edu.cn

研究方向:

双曲型偏微分方程的控制方向,主要研究由偏微分方程支配系统的能控性与能稳性问题。

教育背景:

2012年于法国巴黎第六大学获得理学博士学位

工作经历:

2012年至今,同济大学数学系

论文与出版物:
  1. S.X. Tang, J.X. Chu, P. Shang and J.-M. Coron, Asymptotic stability of a Korteweg-de Vries equation with a two-dimensional center manifold,  Advances in Nonlinear Analysis, DOI: 10.1515/anona-2016-0097, 2016.
  2. J.X. Chu, J.-M. Coron, P. Shang and S.X. Tang, Gevrey class regularity of a semigroup associated with a nonlinear Korteweg–de Vries equation. Chin. Ann. Math. Ser. B, 2018.
  3. M. Diagne, P. Shang and Z.Q. Wang, Well-posedness and the exact controllability of the mass balance equations for an extrusion process, Mathematical Methods in the Applied Sciences, 2016.
  4. J.X. Chu, J.-M. Coron and P. Shang, Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths, Journal of Differential Equations, 2015.
  5. M. Diagne, P. Shang and Z.Q. Wang, Feedback stabilization for the mass balance equations of an extrusion process,IEEE Transactions on Automatic Control, 2015.
  6. M. Chyba, J.-M. Coron, P. Gabriel, A. Jacquemard, G. Patterson, G. Picot and P. Shang, Optimal Geometric Control Applied to the Protein Misfolding Cyclic Amplification Process. Acta Applicandae Mathematicae, 2015.
  7. M. Diagne, P. Shang and Z.Q. Wang,Feedback Stabilization of a Food Extrusion Process Described by 1D PDEs Defined on Coupled Time-Varying Spatial Domains,12th IFAC Workshop on Time Delay Systems, USA, 2015.
  8. J.-M. Coron, P. Gabriel and P. Shang, Optimization of an amplification protocol for misfolded proteins by using relaxed control,Journal of Mathematical Biology, 2014.
  9. P. Shang, Cauchy problem for multiscale conservation laws: Application to structured cell populations, Journal of Mathematical Analysis and Applications, 2013.
  10. F. Clement, J.-M. Coron and P. Shang, Optimal control of cell mass and maturity in a multiscale model of follicular ovulation, SIAM Journal on Control and Optimization, 2013.
  11. P. Shang, Z.Q. Wang, Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system, Journal of Differential Equations,2011.
  12. P. Shang and K.L. Zhuang, Exact observability for second order quasilinear hyperbolic  equations. Chinese Journal of  Engineering Mathematics, 2009.
  13. K.L. Zhuang and P. Shang, Exact controllability for second order quasilinear hyperbolic  equations. Chinese Journal of  Engineering Mathematics, 2009.
科研项目:
  1. 2018-2022, 国家自然科学基金面上基金,主持
  2. 2013-2016, 国家自然科学基金青年基金,主持
  3. 2013 2015,上海市浦江人才计划, 主持
  4. 2013-2015, 博士点基金, 主持
获奖荣誉:

2007年,刘钧数学纪念奖

2013年,上海市浦江人才计划

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