Subdiffusion-reaction systems: from microscopic random walk to the mesoscopic fractional PDE’s

Докладчик: проф. Сергей Федотов, ръководител на групата по приложна математика в университета на Манчестър
Дата: 11.09.2024 г.
Час: 14:00 ч.
Място: зала 403

Резюме: 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 reaction processes inseparable.