Lisbon Webinar in Analysis and Differential Equations

Solvability of the Fractional Hyperbolic Keller-Segel System

Sala 6.2.33, Ciências ULisboa (com transmissão via Zoom)

Por Wladimir Neves (Universidade Federal do Rio de Janeiro).

We study a new nonlocal approach to the mathematical modelling of the Chemotaxis problem, which describes the random motion of a certain population due a substance concentration. Considering the initial- boundary value problem for the fractional hyperbolic Keller-Segel model, we prove the solvability of the problem. The solvability result relies mostly on fractional calculus and kinetic formulation of scalar conservation laws.

Transmissão via Zoom.

The Lisbon Webinar in Analysis in Differential Equations is a joint iniciative of CAMGSD, CMAFcIO and GFM, three research centers of the University of Lisbon. It is aimed at filling the absence of face-to-face seminars and wishes to be a meeting point of mathematicians working in the field.