Subdiffusion-reaction systems: from microscopic random walk to the mesoscopic fractional PDE's Speaker: Prof. Sergei Fedotov, head of the applied group of the Mathematics Department of the University of Manchester Date: September 11, 2024 Time: 2:00 pm Place: Room 403, IMI - BAS Abstract: An interesting feature of subdiffusion-reaction systems is the lack of a universal model for reactions in subdiffusive media. Consequently, the coarse-grained fractional subdiffusion-reaction equations depend on the specific details of the underlying microscopic random walk models. This complexity arises from the memory effects inherent in subdiffusive transport systems. Simply adding a reaction term to the transport equation can be physically inconsistent. Due to the memory effect, the subdiffusion process depends on the entire history of the system’s evolution making the diffusion and [...]