主讲人简介：

娄本东，上海师范大学教授。研究领域是偏微分方程与生物数学，特别关注非线性扩散问题中的传播现象，在反应扩散方程自由边界的传播理论、非均匀空间中非平面波的传播、曲率流方程的广义行波解、多孔介质和障碍环境中的传播现象等方面作了一系列研究工作。相关研究获得多项国家自然科学基金的资助和上海市自然科学二等奖。

内容摘要：

We will talk about the propagation phenomena in nonlinear diffusion problems by using the mean curvature flows (MCFs). We first introduce some background and mathematical topics of the mean curvature flows. Then, we present the results on  (1) the translating solutions (traveling wave solution) of MCFs in the whole space: planar or curved ones; (2) translating solutions in cylinders, with homogeneous or (almost) periodic boundary conditions; (3) selfsimilar solutions in cones, with homogeneous, periodic or selfsimilar boundary conditions. 

主持人：秦玉明