报告人:王玉昭(英国伯明翰大学 教授)
报告时间:4月22日(周二)15:00-16:00
报告地点:章辉楼442
联系人:王保祥教授
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报告摘要:In this talk, I will discuss recent progress on constructing Gibbs measure and their associated dynamics for nonlinear partial differential equations. In particular, I will review how this subject has evolved to its current shape since the seminal work of Bourgain in 1990s. Bourgain's introduction of the Fourier restriction norm method, rigorous construction of the focusing Gibbs measure, and the invention of the invariant measure argument to globalise local dynamics have been foundational. Recent advancements have built upon these pillars, with Barashkov and Gubinelli's variational argument, the concept of para-controlled distributions, and Deng-Nahmod-Yue's random average operator and random tensor arguments further pushing the boundaries of understanding in this field.
报告人简介:王玉昭,英国伯明翰大学教授,博士生导师。 2010年获北京大学数学博士学位。自2017年8月起在英国伯明翰大学任职。王玉昭教授主要从事于无穷维动力系统,随机偏微分方程,调和分析的研究 —— 集中于无穷维动力系统的不变测度,随机波动方程的整体适定性相关问题;相关论文发表于Commun. Math. Phys.,Adv. Math,J. Funct. Anal.,Proc. Lond. Math. Soc. (3),Ann. Inst. H. Poincaré C Anal. Non Linéaire, SIAM J. Math. Anal., Nonlinearity, Appl. Comput. Harmon. Anal.等国际知名杂志.