Speaker: Bangti Jin, Department of Mathematics, The Chinese University of Hong Kong

Time : 15:00 - 16:00 CEST (Rome/Paris)

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy

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Organizers : Pavan Pranjivan Mehta* (pavan.mehta@sissa.it) and Arran Fernandez** (arran.fernandez@emu.edu.tr)

* SISSA, International School of Advanced Studies, Italy

** Eastern Mediterranean University, Northern Cyprus

Keywords: time-fractional diffusion, inverse problems, reconstruction

Abstract: Time-fractional diffusion models involve a Caputo fractional derivative in time are commonly employed to describe subdiffusive transport processes in many practical applications. Inverse problems for time-fractional diffusion are concerned with identifying parameters in these models from various observational data, and have received much attention over the past two decades. In this talk, I will present a gentle introduction to this class of inverse problems, including backward subdiffusion problem, order determination and coefficient identifications. In the talk, I will highlight the distinct role of the memory term in the mathematical model, and its significant impact on the behavior of the inverse problems. 

Biography: Bangti Jin is a Professor of Mathematics, and Global STEM Scholar of Hong Kong SAR, at The Chinese University of Hong Kong. He received his PhD in mathematics from The Chinese University of Hong Kong in 2008. Previously he was Lecturer, Reader and Professor of Inverse Problems at University College London (2014-2022), Assistant Professor of Mathematics at University of California, Riverside (2013-2014), Visiting Assistant Professor at Texas A&M University (2010-2013), and Alexander von Humboldt Postdoctoral Fellow at University of Bremen (2009-2010). His research interests lie in applied and computational mathematics, including computational inverse problems, numerical analysis, and machine learning. 

Bibliography

[1] Bangti Jin, William Rundell. A tutorial on inverse problems for anomalous diffusion processes. Inverse Problems 2015; 31(3) 035003
[2] Bangti Jin. Fractional Differential Equations. Springer, Cham, 2021.