报告人：谢耀玮（首都师范大学）

时 间：2024年9月11日8:00

地 点：海韵园行政楼C503

内容摘要:

This paper is concerned with the perturbation problem of the incompressible porous media (IPM) equation near a more generic steady state with horizontal stratification on the whole space \mathbb{R}^2. The steady state we consider is g(x_2)\in B^{\frac{2}{p}+2}_{p,1}(\mr) with 2\leq p<\infty and g'(x_2)\not\equiv0. We construct a class of initial data such that the solution of the IPM equation is mildly ill-posed around this steady state, and accordingly, instability can be inferred.

个人简介：

谢耀玮，首都师范大学数学科学学院博士生。主要从事流体力学方程稳定性的数学理论研究，在CVPDE、ZAMP上发表论文2篇。曾获2021-2022年硕士研究生国家奖学金。

联系人：谭忠