Mathematical Biology

On Nonlocal Keller-Segel Type Equations

Dr. Suleyman Ulusoy, American University of Ras Al Khaimah, UAE

Mar 20, 16:00 - 17:00

B1 L3 R3119

Applied Partial Differential Equations Mathematical Biology

In the first part of the talk we investigate a Keller-Segel model with quorum sensing and a fractional diffusion operator. This model describes the collective cell movement due to chemical sensing with flux limitation for high cell densities and with anomalous media represented by a nonlinear, degenerate fractional diffusion operator. The purpose here is to introduce and prove the existence of a properly defined entropy solution. In the second part of the talk we will analyze an equation that is gradient flow of a functional related to Hardy-Littlewood-Sobolev inequality in whole Euclidean space of higher dimensions.