報告人:賴柏順 教授
報告題目:Localization analysis of incompressible 3D Navier-Stokes equation and its application
報告時間:2026年4月14日(周二)下午2:00
報告地點:騰訊會議:353551500
主辦單位:數(shù)學與統(tǒng)計學院、數(shù)學研究院、科學技術研究院
報告人簡介:
賴柏順,現(xiàn)為湖南師范大學“瀟湘學者”特聘教授,第14屆中國數(shù)學會理事;長期從事不可壓縮Navier-Stokes方程的數(shù)學理論研究。其主要成果發(fā)表在Adv. Math.,Comm. Math. Phys. Trans. Amer. Math. Soc.,J. Funct. Anal等國內外刊物上。主持多項國家自然科學基金,獲得湖南省杰出青年基金資助。
報告摘要:
In this talk, I will introduce the localized argument in frequency space given by Terence Tao, and the local-in-space smoothing technique near the initial time established by Jia-Sverak. At the same time, I will present some applications of these techniques , such as quantitative regularity for the Navier-Stokes equations via Carleman inequalities, construction of large self-similar solution of Navier-Stokes by Leary Shaulder fixed point Theorem.