中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程研讨班
Speaker: Gastón Vergara-Hermosilla (Westlake University)
Inviter: 张平 院士
Language: English
Title: On Liouville-type theorems for the 3D Navier–Stokes equations
Time&Venue:2025年10月29日 (星期三) 16:00-17:00 & N933
Abstract: In this talk we will study some Liouville-type theorems for the stationary 3D Navier–Stokes equations. These results are related to the uniqueness of weak solutions for this system under some additional information on the velocity field, which is usually stated in the literature in terms of Lebesgue, Morrey, or BMO^{-1} spaces. Here we will consider Lebesgue spaces of variable exponent, which provides some interesting flexibility.