科研動態
學術講座
現在位置: 首頁  科研動態  學術講座
  • 天元講堂05(1.4) 概率統計及其應用報告
  • 瀏覽量:10 發布人: 發布時間:2020-01-02

  • 報告題目一: Asymptotic stability on rarefaction wave of one-dimensional Stochastic Burgers equation

    報 告 人: 董昭研究員(中國科學院數學與系統科學研究院)

    報告時間: 202014日(周),9:30-10:10

    報告地點:數學樓2樓學術報告廳

    報告摘要:This talk is concerned with the asymptotic behaviour of the solution toward the rarefaction wave for the one dimensional Burgers equation with correlated noise. Under some assumptions of the noise we study the well-posedness of this kind of stochastic PDE. The decay rate of solutions is investigated without integrability of the initial disturbance. The proof is given by energy method with a weight of time. This is joint work with Fei-Min Huang, Hou-Qi Su.

    報告人簡介: 董昭研究員1996年博士畢業于中科院應用數學研究所。主要從事狄氏型與馬氏過程隨機過程、隨機(偏)微分方程理論研究,特別是在隨機流體力學方程和多遍歷態的隨機動力系統有比較深入的研究。 在國際期刊發表論文50余篇。主持國家自然科學基金委重點項目一項、面上項目兩項,參加重點和面上多項,是973項目和基金委創新研究群體的主要成員。和他人合作獲得教育部自然科學二等獎。任北京航空航天大學兼職博導,中國科學院大學崗位教授。

     

    報告題目: Global well-posedness of stochastic nematic liquid crystals with random initial and boundary conditions driven by multiplicative noise

    報 告 人: 周國立副教授(重慶大學數學與統計學院)

    報告時間: 202014日(周),10:20-11:00

    報告地點: 數學樓2樓學術報告廳

    報告摘要:The flow of nematic liquid crystals can be described by a highly nonlinear stochastic hydrodynamical model, thus is often influenced by random fluctuations, such as uncertainty in specifying initial conditions and  boundary conditions. In this article, we consider a $2$-D stochastic nematic liquid crystals with the velocity field perturbed by affine-linear multiplicative white noise, with random initial data and random boundary conditions. Our main objective is to obtain the global well-posedness of the stochastic equations under the sufficient Malliavin regularity of the initial condition. The Malliavin calculus techniques play important roles when we obtain the global existence of the solutions to the stochastic nematic liquid crystal model with random initial and boundary conditions.

     

    報告人簡介: 周國立, 重慶大學數學與統計學院副教授。中國科學院和中南大學聯合培養, 獲博士學位,導師:侯振挺教授,董昭研究員。在北京應用物理與計算數學研究所博士后出站,導師郭柏靈院士。這些年主持了國家面上項目,國家青年項目,國家留學基金委面上項目以及天元基金等,在這些資金的資助下研究了隨機流體力學方程的長時間行為和全局適定性,相關結果發表在一些國際期刊:J. Differential EquationsCommun. Math. Sci., Discrete and Continuous Dynamical Systems-B, Nonlinear Analysis TMA, Communications of Pure and Applied Analysis,  Computers and Mathematics with Applications, Mathematical Methods in the Applied Sciences, Acta Mathematica Sinica等。


    邀請人:程東亞


    歡迎參加!

蘇州大學數學科學學院 Copyright 2016.All Rights Reserved. 管理后臺
電話:0512-65112637 傳真:0512-65112637  E-mail:sxxy@suda.edu.cn  地址:蘇州市十梓街1號 郵編:215006 蘇ICP備06032411號
环亚最新登录网址