报告题目：Stochastic Navier-Stokes equations driven by space-time white noise
报 告 人：王玉昭 教授 英国伯明翰大学
报告时间：2025年4月25日，19：00-20：30
报告链接：Join Zoom Meeting ID: 856 3669 3919
https://bham-ac-uk.zoom.us/j/85636693919?pwd=KWBEyFBSGw13jndDvXFMG3aQTsaLJc.1
校内联系人：段犇 bduan@jlu.edu.cn
报告摘要：
In this lecture, we will discuss the stochastic Navier-Stokes equation driven by space-time white noise, one of the most fundamental models in stochastic partial differential equations (SPDEs). The talk is designed to provide PDE-majored students with the necessary stochastic background for studying such equations. We will begin by recalling key concepts, including: Space-time white noise, Mild solutions, Stochastic convolution, Bony decomposition, and Besov spaces. Following this, we will explore the main challenges in making sense of solutions to stochastic nonlinear PDEs and demonstrate how these difficulties can be addressed through a prototype problem: the 2D stochastic nonlinear heat equation.
References:
Da Prato, G.; Debussche, A. Strong solutions to the stochastic quantization equations. Ann. Probab. 31 (2003), no. 4, 1900–1916.
Da Prato, G.; Debussche, A. Two-dimensional Navier-Stokes equations driven by a space-time white noise. J. Funct. Anal. 196 (2002), no. 1, 180–210.
Bahouri, H.; Chemin, J.-Y.; Danchin, R. Fourier analysis and nonlinear partial differential equations. Grundlehren Math. Wiss., 343, Springer, Heidelberg (2011).
报告人简介：王玉昭，英国伯明翰大学教授，博士生导师。 2005年获吉林大学数学与应用数学学士学位，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助理教授，副教授。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。
