Basic Notion Seminar

Time:

Venue/Location: Vietnam Institute for Advanced Study in Mathematics (VIASM), Hanoi

Title: Recent developments on singular stochastic PDEs

Abstract: Stochastic PDEs (SPDEs) are PDEs forced by random noise. Applications include study of turbulence, stochastic external force such as wind affecting waves, fluids in microscopic scales, and finance. Space-time white noise is a special type of such noise such that its correlation is a product of delta functions in space and time. The roughness of the space-time white noise is so severe that the solution becomes a distribution, and ultimately a product in the nonlinear term becomes ill-defined by the classical Bony's paraproducts, leading to the necessity to subtract out renormalization constants; such equations are called singular SPDEs. The past decade has witnessed multiple breakthrough developments concerning the solution theory of such singular SPDEs: theory of paracontrolled distributions, theory of regularity structures; convex integration technique. This talk will review these developments and discuss multiple open problems.

Speaker: Kazuo Yamazaki, University of Nebraska-Lincoln, USA.

Language: English

Registration

• Registration link: Here
• Deadline for Registration: June 06, 2025

Contact: 

Ms. Nguyễn Hồng Anh, email: nguyenhonganh@viasm.edu.vn