Non-uniqueness of weak solutions to the nonlinear dynamical Lamé system

主讲人：曲鹏 复旦大学教授

时间：2025年11月20日14：00

地点：三号楼332报告厅

举办单位：数理学院

主讲人介绍：曲鹏，复旦大学数学科学学院教授。主要从事应用偏微分方程的数学研究，在双曲守恒律、流体力学方程弱解等方面取得的成果曾发表在 Adv. Math., Arch. Rational Mech. Anal., J. Math. Pures Appl. 等国际知名期刊。曾获中国数学会钟家庆数学奖、中国工业与应用数学学会优秀青年学者奖、“上海市教学能手”称号等。

内容介绍：In this report, we would discuss the non-uniqueness result for C1 continuous weak solutions to the quasilinear dynamical Lamé system with null conditions. A specially designed convex integration scheme is proposed for this result. We would also discuss the difference on the basic analysis tools such as building blocks in this scheme from the well-known ones for Euler and Navier-Stokes equations. This report is based on a joint work with Shunkai Mao.