师资队伍
尚培培
发布时间:2020-07-16        浏览次数:2748

基本信息

姓名:尚培培

部门:金融数学与微分方程

职称: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,同济大学数学科学学院

论文与出版物:

1.  A. Hayat and P. Shang, Exponential stability of density-velocity systems with boundary conditions and source term for the $H^{2}$ norm, preprint, 2021.

2.  C.-M. BraunerR. Roussarie, L.W. Zhang and P. Shang, Existence of a traveling wave solution in a free interface problem with fractional order kinetics, Journal of Differential Equations. 281, 105-147, 2021.

3.  J.-M. Coron, L. Hu, G. Olive and P. Shang, Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space,Journal of Differential Equations. 271,1109-1170, 2021.

4.  J.X. Chu, P. Shang and Z.Q. Wang, Controllability and stabilization of a conservation law modeling a highly re-entrant manufacturing system, Nonlinear Analysis. 189, 2019.

5.  A. Hayat and P. Shang, A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope, Automatica, 100, 52-602019.

6.  G. Bastin, J.-M. Coron, A. Hayat and P. Shang, Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. Mathematical Models and Methods in Applied Sciences. 29 (2), 271316, 2019.

7.  G. Bastin, J.-M. Coron, A. Hayat and P. Shang, Boundary feedback stabilization of hydraulic jumps. IFAC Journal of System and Control 7 100026, 10 pp, 2019.

8.  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,7(4),497-515,2018.

9.  J.X. Chu, J.-M. Coron, P. Shang and S.X. Tang, Gevrey class regularity of a semigroup associated with a nonlinear Kortewegde Vries equation, Chin. Ann. Math. Ser. B, 39(2),201-212, 2018.

10.  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, 39, 2659-2670,2016.

11.  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. 2598),4045-4085, 2015.

12.  M. Diagne, P. Shang and Z.Q. Wang, Feedback stabilization for the mass balance equations of an extrusion processIEEE Transactions on Automatic Control. 61(3),760-765, 2016.

13.  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. 135, 145-1732015.

14.  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, June 28-30, 2015 Ann Arbor, MI, USA.51-56, 2015.

15.  J.-M. Coron, P. Gabriel and P. Shang, Optimization of an amplification protocol for misfolded proteins by using relaxed controlJournal of Mathematical Biology. 701, 289-3272015.

16.  P. Shang, Cauchy problem for multiscale conservation laws: Application to structured cell populations, Journal of Mathematical Analysis and Applications. 401(2), 896-9202013.

17.  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. 51(2), 8248472013.

18.  P. Shang, Z.Q. Wang, Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system, Journal of Differential Equations. 2502, No. 2, 949-9822011.

19.  P. Shang and K.L. Zhuang, Exact observability for second order quasilinear hyperbolic equations. Chinese Journal of Engineering Mathematics. 26(4), 618-636, 2009.

20.  K.L. Zhuang and P. Shang, Exact controllability for second order quasilinear hyperbolic equations. Chinese Journal of Engineering Mathematics. 26(6), 1005-1020, 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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