Anomalous diffusions and fractional order differential equations

Abstract

Anomalous diffusion phenomenon has been observed in many natural systems, from the signalling of biological cells, to the foraging behaviour of animals, to the travel times of contaminants in groundwater. In this talk, I will first discuss the interplay between anomalous diffusions and differential equations of fractional order. I will then present some recent results in the study of these two topics, including the counterpart of DeGiorgi-Nash-Moser-Aronson theory for non-local operators of fractional order. No prior knowledge in these two subjects is assumed.

Biography

Prof. Zhen-Qing Chen received his PhD at Washington University St. Louis in 1992, and has been a full professor at University of Washington since 2003. He has published more than 100 papers on international journals such as Annals of Probability, Probability Theory and Related Fields and so on. Prof. Chen is mainly working on probability theory and stochastic analysis, he is now fellow of IMS and AMS and associated editors of the journals: Annals of Probability, Annals of Applied Probability, Probability Theory and Related Field, Stochastic Processes and Their Applications and so on.