报告题目:Mathematical and numerical analysis to variable-order time-fractional problems with the inversion of variable order
报 告 人:郑祥成(北京大学数学科学学院)
会议时间:2022/5/06 下午2:00开始
会议地点:腾讯会议,会议号:343-310-968
报告摘要:We study variable-order time-fractional PDEs in which the variable fractional order may depend on space or/and time variables. The well-posedness of the models and the smoothing properties of their solutions are proved, based on which the corresponding fully-discrete finite element methods are analyzed. We also prove the unique determination of variable fractional order based on the observations of the solutions.
报告人简介:郑祥成,北京大学数学科学学院博士后,主要从事分数阶偏微分方程和鞍点动力学等模型的理论与数值分析研究。近年在SIAM J. Numer. Anal., SIAM J. Control Optim., IMA J. Numer. Anal., Inverse Problems, CMAME, BIT等发表论文近60篇,担任SIAM J. Sci. Comput.等30种SCI杂志的审稿人。先后获批中国博士后国际交流计划引进项目、中国博士后科学基金特别资助、面上资助等。