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【明理讲坛】理学院数学系学术报告
发布时间:2020-12-30【告诉好友】 【关闭窗口】

  会议主题:武汉理工大学数学系学术报告

  会议 ID:103 724 415 (腾讯会议)

  会议时间:2021/01/05 14:00-16:00

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  https://meeting.tencent.com/s/TckdYJZeoW8C

  (一)报告人:杨蓉  讲师  北京工业大学

  题目:Propagation of chaos for the N particle interacting system

  时间:20211月5日午14:00-15:00

  摘要:We consider an N particle interacting system with the singular potential and Brownian motions. Assuming that the initial data are independent and identically distributed with a common probability density function. We rigorously prove the propagation of chaos for this interacting system: when N goes to infinity, the empirical measure of the particle system converges in law to a probability measure and this measure possesses a density, which is a weak solution to the mean-field partial differential equation. More precisely, each particle path is approximated by a strong solution to a mean-field self-consistent stochastic differential equation. The global existence and uniqueness of strong solution to this SDE is proved and consequently we also prove the uniqueness of weak solution to the differential equation.

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  报告人简介:

  杨蓉, 北京工业大学理学部,讲师,硕士生导师。研究方向为随机微分方程和偏微分方程。已经在J. Differential Equations,Math. Comput.等国际知名学术期刊上发表多篇论文。主持完成国家自然科学青年基金项目一项。2013年7月至2014年8月公派访问杜克大学。

  (二)报告人:陈鸿硕  博士后  重庆大学

  题目:A Statistical Theory of Heavy Atoms: Energy and Excess Charge

  时间:20211月5日午15:00-16:00

  摘要:The description of heavy atoms suffered for a long time from the fact that the naive adaptation of Thomas-Fermi to the relativistic setting leads to a functional that is unbounded from below. Engel and Dreizler solved this problem deriving a relativistic Thomas-Fermi- Weizsäcker -Dirac functional ƐZTFWD from quantum electrodynamics. We give an elementary derivation of a lower bound on the this functional of Thomas-Fermi type and to apply it to get an upper bound on the excess charge of this model.

  欢迎全校师生参加!

  报告人简介:

  陈鸿硕, 重庆大学数学与统计学院,博士后。研究方向为偏微分方程以及数学量子力学。2019年于德国慕尼黑大学博士毕业回国。已经在Journal of Physics. A等国际知名学术期刊上发表论文。

      
      
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