时间：2022/05/11 10:00-12:30

报告地址：腾讯会议：645-637-928

报告题目：Infinitely many non-conservative solutions for the three-dimensional Euler equations with arbitrary initial data in $C^{1/3-\epsilon}$

报告摘要：Let $0<\beta<\bar\beta<1/3$. We construct infinitely many distributional solutions in $C^{\beta}_{x,t}$ to the three-dimensional Euler equations that do not conserve the energy, for a given initial data in $C^{\bar\beta}$. We also show that there is some limited control on the increase in the energy for $t>1$.

报告人简介：叶伟奎，博士后，现就职于北京应用物理与计算数学研究所。博士毕业于中山大学数学学院，主要研究浅水波方程（如Camassa-Holm方程, Hunter-Saxton方程）和流体方程（如Navier-Stokes方程，MHD方程和Oldroyd-b方程）的适定性与不适定性理论，发表SCI学术论文数篇，其中有Acta Mathematica Sinica, English Series; Journal of Mathematical Fluid Mechanics; Journal of Differential Equations; Nonlinear Analysis: Real World Applications等。