The 40th Anniversary of Shenzhen University and the 40th Anniversary of Mathematics Department

Liyuan scholar Colloquium fifty-three

Lecture Title:Fractional partial differential equations for ultra-slow diffusion: analysis and computation

Speaker: Prof. Changpin Li (Shanghai University)

Lecture Time: November 21, 2023, 8:30-9:30 a.m.

Lecture location: Online Tencent Conference 735-593-866

Overview：The known ultra-slow diffusion indicates that the diffusion rate is algebraic in the sense of logarithmic function. Such a kind of diffusion is often modeled by the fractional Hadamard derivatives. In this talk, we first introduce the various kinds of numerical algorithms for Caputo-Hadamard derivatives. Then we apply the derived algorithms to long term integration of the typical fractional differential equations, such as the fractional Lorenz system, the Bagley-Torvik system, and the fractional Allen-Cahn equation, with Caputo-Hadamard derivatives. lastly we theoretically and numerically study the finite blow-up solutions of the semi-linear fractional partial differential equations with Caputo-Hadamard derivatives.

Speaker Introduction：Professor of the Department of Mathematics, Shanghai University, Director of the Institute of Computing, Doctoral Supervisor, Weichang Scholar, Fellow of the Institute of Mathematics and its Applications, UK.Since 2014, he has been selected as a member of Elsevier China Highly Cited Scholars list for 5 consecutive years, and selected as a member of the Lifetime Influence List of the Top 2% of Global Scientists in 2022, and was awarded the Riemann-Liouville Prize (Theory Prize for the Best FDA Article) in 2012, Baosteel Outstanding Teachers' Prize in 2011, Wang Kuangcheng Yucheng Talents' Prize of Shanghai University in 2021, Shanghai Natural Sciences Prize in 2017 and 2010, and was selected as the Outstanding Doctoral Dissertation Supervisor of Shanghai Municipality in 2016, and his main research interests are in the numerical solution of fractional-order partial differential equations.Founding Editor-in-Chief of the book series "Fractional Calculus in Applied Sciences and Engineering" of the Deutsche Gewalt Verlag, Editorial Board of Appl. Numer. Math., Fract. Calc. Appl. Anal., J Nonlinear Sci. Comput. Simulation and other journals.

Teachers and students are welcome to participate!

School of Mathematical Sciences

November 21, 2023