报告题目：Porous medium equations with general degenerate diffusion coefficients
报 告 人：井鑫鑫 讲师
所在单位：山东科技大学
报告时间：2024年6月18日 9:00-11:00
报告地点：数学楼研讨室5
校内联系人：聂元元 nieyy@jlu.edu.cn
报告摘要：Porous medium equations with general degenerate diffusion coefficients, which arise from physics, fluid mechanics, biopopulation dynamics and meteorology. I present some results about equations include multi-dimensional nonlinear diffusion equations with general degenerate diffusion-convection terms and porous medium equations with general degenerate diffusion coefficients. The study of the long-term behavior of the general degenerate diffusion coefficient, nonlinear diffusion exponent and convection on the solution brings difficulties to mathematical research, and we need to use effective mathematical tools to determine the quantitative relationship between the degenerate diffusion term, convection term, reaction term and other factors. We will discuss these topics in this lecture, including some on-going research projects.
报告人简介：井鑫鑫，山东科技大学讲师。2022年在bwin必赢登录入口官网获得博士学位，自2022年11月起在山东科技大学数学与系统科学学院工作。主要从事退化抛物方程方面的研究，主持国家自然科学基金青年基金一项，山东省自然科学基金青年基金一项，在J. Math. Anal. Appl. 、Discrete Contin. Dyn. Syst. Ser. B等杂志发表学术论文6篇。2024年获得山东省第十一届高校青年教师教学比赛二等奖。
