地点：勤园21-304

时间：11月17日15:30

Abstract:

We first go over basic concepts of fractional calculus. We then 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. Numerical experiments are carried out to substantiate the theoretical findings.

个人简介：

   郑祥成，2020年博士毕业于美国南卡罗来纳大学 (USC) 数学系，2016年本科毕业于中国石油大学（华东）理科实验班，获石油工程专业学士学位。主要从事（变阶）分数阶偏微分方程的理论与数值分析及相应的反问题、最优控制、快速算法和随机微分方程的研究。近两年在SIAM J. Numer. Anal., IMA J. Numer. Anal., Inverse Problems, J. Inverse and Ill-posed problems, Comput. Meth. Appl. Mech. Engrg., Fract. Calc. Appl. Anal., J. Sci. Comput.等发表文章33篇。先后获得国家奖学金，USC数学系杰出研究生奖，George W. Johnson应用数学奖学金等,并获USC SPARC Graduate Research Grant等基金资助。