報告題目：Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: above the Lions exponent
報 告 人：曲鵬 教授
所在單位：複旦大學
報告時間：2022年11月25日 星期五 10:00-11:00
報告地點：#騰訊會議：566-510-782
校内聯系人：郭斌 bguo@jlu.edu.cn
報告摘要：In this talk, we would like to discuss the 3D hyperdissipative Navier-Stokes equations on the torus. It is well-known that, due to Lions, for any L^2 divergence-free initial data, there exist unique smooth Leray-Hopf solutions when the viscosity exponent is larger than 5/4. We prove that even in this high dissipative regime, the uniqueness would fail in the supercritical spaces in view of the generalized Ladyzenskaja-Prodi-Serrin condition. This talk is based on the joint work with Prof. Yachun Li, Prof. Deng Zhang and Dr. Zirong Zeng.
報告人簡介：曲鵬，複旦大學數學科學學院教授。主要從事應用偏微分方程的數學研究，在雙曲守恒律、流體力學方程弱解等方面取得的成果曾發表在 Adv. Math., Arch. Rational Mech. Anal., J. Math. Pures Appl. 等國際知名期刊。曾獲中國數學會鐘家慶數學獎、中國工業與應用數學學會優秀青年學者獎。國家優秀青年基金獲得者。
